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Hi Ralph,
"ralph sansbury" wrote in message ... Craig, .. Yes I see from the papers you refer to that the difference between the received sky frequency(oscillating voltage vlaues) and the known transmitted frequency(voltage values) is obtained digitally as follows: a sequence of oscillating voltages is received from the sky where the spacecraft is, through a filter that suppresses frequencies outside the expected range and this is input to one gate of a dual gate transistor while an Where did you read that it was a dual gate transistor? oscillation at a preset frequency is input to the other gate so that the output of the transistor controlled by both of these inputs contains the sum ,difference, and both input frequencies. A resonance tuner Wrong, we have been over this dozens of times. It is digitally filtered, there is no "resonance tuner" involved. The characteristics are fundamentally different. picks out the difference frequency and a a Wrong, it doesn't pick out one frequency, it passes a complete band of frequencies to the FFT. http://eis.jpl.nasa.gov/deepspace/ds...05/209/209.pdf See page 10 (yet again). sequence of voltages at this difference frequency.(mixer and repeated heterodyne up and down conversion etc is the jargon and the engineering details I am trying to avoid). Instead you are inventing a process that doesn't exist and describing it in far more (and incorrect) detail than exists in the published documentation. This sequence of oscillations is digitized into a set of 1s The entire band is digitised. and 0s (1 if the analogue voltage is above a certain amount etc) and an Fast Fourier Transform procedure is used to find the underlying "sine" pattern of 1s and 0s that most closely fits this. Nope, the amplitude of _all_ frequencies in the band is calculated and passed on to the next stage without any judgement. Ralph, it's as if all the weeks I spent talking you through the DSN documentation by email had never happened. You seemed to grasp it at the time, why have you reverted to this grossly inaccurate description of the process? George |
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![]() "George Dishman" wrote in message ... Hi Ralph, "ralph sansbury" wrote in message ... Craig, .. Yes I see from the papers you refer to that the difference between the received sky frequency(oscillating voltage vlaues) and the known transmitted frequency(voltage values) is obtained digitally as follows: a sequence of oscillating voltages is received from the sky where the spacecraft is, through a filter that suppresses frequencies outside the expected range and this is input to one gate of a dual gate transistor while an Where did you read that it was a dual gate transistor? It is surely more complex than this but this is the principle used in obtaining an intermediate frequency. oscillation at a preset frequency is input to the other gate so that the output of the transistor controlled by both of these inputs contains the sum ,difference, and both input frequencies. A resonance tuner Wrong, we have been over this dozens of times. It is digitally filtered, there is no "resonance tuner" involved. The characteristics are fundamentally different. I appreciate your pointing out to me how bandpass filters made up of low pass and high pass can do the same thing as resonant filters. But I am not talking about such filters now. I am talking about the way a typical mixer that produces the intermdiate frequency is tuned typically and if there is a digital version here, then feel free to explain it. I did not understand your email explanations. picks out the difference frequency and a a Wrong, it doesn't pick out one frequency, it passes a complete band of frequencies to the FFT. OK relax. It is a small band of frequencies around the single difference frequency. This is always understood. http://eis.jpl.nasa.gov/deepspace/ds...05/209/209.pdf See page 10 (yet again). sequence of voltages at this difference frequency.(mixer and repeated heterodyne up and down conversion etc is the jargon and the engineering details I am trying to avoid). Instead you are inventing a process that doesn't exist and describing it in far more (and incorrect) detail than exists in the published documentation. If you understand by difference frequency a small band around a specific difference frequency then there is no problem. This is obviously the meaning of what I have said. This sequence of oscillations is digitized into a set of 1s The entire band is digitised. It is clearer to say that the observed sequence of oscillations is digitized. and 0s (1 if the analogue voltage is above a certain amount etc) and an Fast Fourier Transform procedure is used to find the underlying "sine" pattern of 1s and 0s that most closely fits this. Nope, the amplitude of _all_ frequencies in the band is calculated and passed on to the next stage without any judgement. I am talking about the final stage and I mentioned that the movement of the Earth etc requires different patterns to be obtained successively but the point is that the FFT procedure finds the underlying pattern and it is this that is used to compare to the given sequence of 1s and 0s. This is the procedure I understood from your comments and various books and links. Ralph, it's as if all the weeks I spent talking you through the DSN documentation by email had never happened. You seemed to grasp it at the time, why have you reverted to this grossly inaccurate description of the process? Again I think you have misunderstood what I have said. I dont think it is inaccurate if you replace single intermediate frequency by small range of frequencies around the single intermediate frequency. And if you want to try and describe the digital version of the mixer please do so. It was not clear from your emails. I was simply trying to summarize what I understood from your sometimes helpful comments and the various links and texts I have been reading. Ralph |
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![]() "ralph sansbury" wrote in message ... "George Dishman" wrote in message ... Hi Ralph, "ralph sansbury" wrote in message ... Craig, .. Yes I see from the papers you refer to that the difference between the received sky frequency(oscillating voltage vlaues) and the known transmitted frequency(voltage values) is obtained digitally as follows: a sequence of oscillating voltages is received from the sky where the spacecraft is, through a filter that suppresses frequencies outside the expected range and this is input to one gate of a dual gate transistor while an Where did you read that it was a dual gate transistor? It is surely more complex than this but this is the principle used in obtaining an intermediate frequency. OK, the principe used is multiplication. A dual gate device is one way of producing multiplication but is very specific and quite possibly incorrect. oscillation at a preset frequency is input to the other gate so that the output of the transistor controlled by both of these inputs contains the sum ,difference, and both input frequencies. A resonance tuner Wrong, we have been over this dozens of times. It is digitally filtered, there is no "resonance tuner" involved. The characteristics are fundamentally different. I appreciate your pointing out to me how bandpass filters made up of low pass and high pass can do the same thing as resonant filters. But I am not talking about such filters now. I am talking about the way a typical mixer that produces the intermdiate frequency is tuned typically That is my point, the mixer is not tuned at all. and if there is a digital version here, then feel free to explain it. I did not understand your email explanations. picks out the difference frequency and a a Wrong, it doesn't pick out one frequency, it passes a complete band of frequencies to the FFT. OK relax. It is a small band of frequencies around the single difference frequency. This is always understood. No, it is a very _wide_ band of frequencies selected out of an even wider band as shown in the diagrams: http://eis.jpl.nasa.gov/deepspace/ds...05/209/209.pdf See page 10 (yet again). sequence of voltages at this difference frequency.(mixer and repeated heterodyne up and down conversion etc is the jargon and the engineering details I am trying to avoid). Instead you are inventing a process that doesn't exist and describing it in far more (and incorrect) detail than exists in the published documentation. If you understand by difference frequency a small band around a specific difference frequency then there is no problem. This is obviously the meaning of what I have said. I know, but it is wrong. It is not a small band, it is a wide band. This sequence of oscillations is digitized into a set of 1s The entire band is digitised. It is clearer to say that the observed sequence of oscillations is digitized. Again it may be clearer but it is wrong. It is not just the carrier oscillations that are digitised, it is the whole signal, oscillations plus random thermal noise and any other sources such as the galactic background. and 0s (1 if the analogue voltage is above a certain amount etc) and an Fast Fourier Transform procedure is used to find the underlying "sine" pattern of 1s and 0s that most closely fits this. Nope, the amplitude of _all_ frequencies in the band is calculated and passed on to the next stage without any judgement. I am talking about the final stage The final stage is the carrier PLL, not the FFT. All the FFTs are removed from the chain once the PLL locks on and they play no further part in the process. It is the PLL that tracks the drifting signal and gives us the accurate measurement. and I mentioned that the movement of the Earth etc requires different patterns to be obtained successively but the point is that the FFT procedure finds the underlying pattern and it is this that is used to compare to the given sequence of 1s and 0s. No it isn't. The final FFT is only used to set initial frequency for the carrier PLL. If that locks, the bandwidth is reduced to improve the signal/noise ratio. The output of that is fed to the sub-carrier PLL. Again that has to lock before the signal can be decoded using a phase detector. Then it gets decoded through the error correction scheme. There are many critical steps after the FFT, and in fact the FFT plays no part in the decoding process whatsoever. This is the procedure I understood from your comments and various books and links. Then you need to read my mails again. I have gone over this at least a dozen times with you and asked repeatedly to look at page 10 of handbook 209 where the bandwidths and IF processing are laid out in simple charts. Ralph, it's as if all the weeks I spent talking you through the DSN documentation by email had never happened. You seemed to grasp it at the time, why have you reverted to this grossly inaccurate description of the process? Again I think you have misunderstood what I have said. I dont think it is inaccurate if you replace single intermediate frequency by small range of frequencies around the single intermediate frequency. It is very inaccurate when the DSN document tells you the analog band is the digitised band is 110MHz wide and the signals of interest are of the order of 1Hz wide. And if you want to try and describe the digital version of the mixer please do so. It was not clear from your emails. The mixer is analog. The output is digitised and a baseband extracted as shown on page 10. The details of the method of mixing are not given but the principle is simply multiplication of the incoming signal (including noise) by the reference sine wave. V_out = V_in * V_ref where V_ref = A * sin(wt) I was simply trying to summarize what I understood from your sometimes helpful comments and the various links and texts I have been reading. OK, but somehow you have gone back to using all the descriptions I told you were wrong. We went over and over this stuff many times and at the end you seemed to understand it. Now a few weeks later you have reverted to your original inaccurate descriptions. George |
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George, I know you are a superior EE and that
you understand or at least can imitate the jargon in the nasa documentation. But you and nasa are talking to EEs and not to an audience that has some elementary understanding of electrical circuits and basic physics. I am trying to represent this in a way which is intelligible without going into details that obscure the basic procedure and why it is reliable. I am surprised at your lack of understanding of this and general lack of good will. ----- Original Message ----- From: "George Dishman" Newsgroups: sci.astro Sent: Tuesday, November 18, 2003 1:50 PM Subject: Question For Craig Markwardt re Pioneer 10 Data "ralph sansbury" wrote in message ... "George Dishman" wrote in message ... Hi Ralph, "ralph sansbury" wrote in message ... Craig, .. Yes I see from the papers you refer to that the difference between the received sky frequency(oscillating voltage vlaues) and the known transmitted frequency(voltage values) is obtained digitally as follows: a sequence of oscillating voltages is received from the sky where the spacecraft is, through a filter that suppresses frequencies outside the expected range and this is input to one gate of a dual gate transistor while an Where did you read that it was a dual gate transistor? It is surely more complex than this but this is the principle used in obtaining an intermediate frequency. OK, the principe used is multiplication. No the principle is what I said. The law of superposition suggests electrical fields are added, not multiplied. When you say something like this you should also say that the sum of sine functions etc can be represented as a product of related sine functions etc. A dual gate device is one way of producing multiplication but is very specific and quite possibly incorrect. Watch your language. Your are contradicting yourself. You mean inexact, it is correct in principle as you just said. oscillation at a preset frequency is input to the other gate so that the output of the transistor controlled by both of these inputs contains the sum ,difference, and both input frequencies. A resonance tuner Wrong, we have been over this dozens of times. It is digitally filtered, there is no "resonance tuner" involved. The characteristics are fundamentally different. I appreciate your pointing out to me how bandpass filters made up of low pass and high pass can do the same thing as resonant filters. But I am not talking about such filters now. I am talking about the way a typical mixer that produces the intermediate frequency is tuned typically That is my point, the mixer is not tuned at all. Please explain how a mixer works if it does not contain one sort of tuning to get the difference frequency. out of the superposition or combination of the input frequencies, another sort to get the sum frequency, another sort to get the single frequencies. By tuning I mean a resonant inductance and capacitance to tune or filter out all but the chosen frequency or perhaps striclty capacitive high and low pass filters. and if there is a digital version here, then feel free to explain it. I did not understand your email explanations. Please answer this question. picks out the difference frequency and a a Wrong, it doesn't pick out one frequency, it passes a complete band of frequencies to the FFT. OK relax. It is a small band of frequencies around the single difference frequency. This is always understood. No, it is a very _wide_ band of frequencies selected out of an even wider band as shown in the diagrams: We are talking about the size of the intermediate frequency range relative to the original range 1MHz is small relative to 200MHz but not to 1Hz sequence of voltages at this difference frequency.(mixer and repeated heterodyne up and down conversion etc is the jargon and the engineering details I am trying to avoid). Instead you are inventing a process that doesn't exist and describing it in far more (and incorrect) detail than exists in the published documentation. As I have detailed above you are misunderstanding what I am saying If you understand by difference frequency a small band around a specific difference frequency then there is no problem. This is obviously the meaning of what I have said. I know, but it is wrong. It is not a small band, it is a wide band. 1MHz is small relative 200MHz but not to 1Hz. Obviously that is what is meant here when we are talking about the reduction of the sky frequency to something that is more amenable to analysis And the reason this is possible is that the difference between the lower frequencies is the same as that between the higher. This sequence of oscillations is digitized into a set of 1s The entire band is digitised. It is clearer to say that the observed sequence of oscillations is digitized. Again it may be clearer but it is wrong. It is not just the carrier oscillations that are digitised, it is the whole signal, oscillations plus random thermal noise and any other sources such as the galactic background. Your understanding is wrong. I did not say CARRIER oscillations You can't change the meaning of 'oscillations' to mean only the part due to the spacecraft transmitter I accept your apology but maybe you are similarly misreading the nasa documents and that is why you are missing the essence of the procedure. You cant see the forest from the trees. and 0s (1 if the analogue voltage is above a certain amount etc) and an Fast Fourier Transform procedure is used to find the underlying "sine" pattern of 1s and 0s that most closely fits this. Nope, the amplitude of _all_ frequencies in the band is calculated and passed on to the next stage without any judgement. I am talking about the final stage The final stage is the carrier PLL, not the FFT. All the FFTs are removed from the chain once the PLL locks on and they play no further part in the process. It is the PLL that tracks the drifting signal and gives us the accurate measurement. The FFT as I was using the term includes the PLL. The point which you insist on obscuring is that this technique gets at the right sine frequency starting at the right time from the sum of sine functions of various frequencies equivalent as Fourier showed to the noisy oscillations observed. and I mentioned that the movement of the Earth etc requires different patterns to be obtained successively but the point is that the FFT procedure finds the underlying pattern and it is this that is used to compare to the given sequence of 1s and 0s. No it isn't. The final FFT is only used to set initial frequency for the carrier PLL. If that locks, the bandwidth is reduced to improve the signal/noise ratio. You are saying the same thing that I was saying. I think it is clearer to say it without the jargon. The output of that is fed to the sub-carrier PLL. Whatever the details a sequence of 1s and 0s is obtained that is a digitised intermediate version of the sky frequency. Again that has to lock before the signal can be decoded using a phase detector. Then it gets decoded through the error correction scheme. There are many critical steps after the FFT, and in fact the FFT plays no part in the decoding process whatsoever. The bottom line is a sine representation of a sum of sine frequency represention of an oscillating pattern made possible by the FFT procedure essentially and this includes the phase locked loop procedure perhaps involving the recognition of some code modulation of the carrier to insure that the fitted frequency starts at the right time. The fact that this representation is a much smaller frequency than the GHz sky frequency is ok because when you look at the difference between this and a small frequency representation of the transmitted frequency the difference is the same as the difference between the original frequencies. And it is this difference that is used to get the Doppler shift. This is the procedure I understood from your comments and various books and links. Ralph, it's as if all the weeks I spent talking you through the DSN documentation by email had never happened. You seemed to grasp it at the time, why have you reverted to this grossly inaccurate description of the process? Again I think you have misunderstood what I have said. I dont think it is inaccurate if you replace single intermediate frequency by small range of frequencies around the single intermediate frequency where small is relative the original frequency. It is very inaccurate when the DSN document tells you the analog band is the digitised band is 110MHz wide and the signals of interest are of the order of 1Hz wide. You are quoting the wrong document. We are talking about the intermediate frequency being smaller that the original frequency. Is that so hard for you to understand. I am continually amazed that a person of your knowledge and intelligence has so many blindspots. And if you want to try and describe the digital version of the mixer please do so. It was not clear from your emails. The mixer is analog. The output is digitised and a baseband extracted as shown on page 10. The details of the method of mixing are not given but the principle is simply multiplication of the incoming signal (including noise) by the reference sine wave. V_out = V_in * V_ref where V_ref = A * sin(wt) This makes no sense. Electrical oscillations add by the law of superposition; Tthey dont multiply. The mathematical fact that a sum of sine and cosine functions can be represented as a product of related sine and cosine functions has to be mentioned dont you think? Ralph |
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![]() "ralph sansbury" wrote in message ... George, I know you are a superior EE and that I like the word "adequate" in that respect. you understand or at least can imitate the jargon in the nasa documentation. I understand most extremely well, I tell you when there is something I don't understand. But you and nasa are talking to EEs and not to an audience that has some elementary understanding of electrical circuits and basic physics. I am trying to represent this in a way which is intelligible without going into details that obscure the basic procedure and why it is reliable. Understood. I am surprised at your lack of understanding of this and general lack of good will. Let me put it this way. Suppose I tried to explain America to you and said "it is a land where all are equal" and you said "that's too difficult to understand, I'm going to call it a dictatorship, it's close enough because both are political systems". Would you think that reasonable? It is what you are doing. "ralph sansbury" wrote in message ... "George Dishman" wrote in message ... Hi Ralph, Where did you read that it was a dual gate transistor? It is surely more complex than this but this is the principle used in obtaining an intermediate frequency. OK, the principe used is multiplication. No the principle is what I said. The law of superposition suggests electrical fields are added, not multiplied. Lets write down some voltages for a mixer with two inputs and an output. This is "in principle", actuals signal levels are much smaller: V_a V_b V_out 0.00 0.00 0.00 0.50 0.50 +0.25 -0.50 0.50 -0.25 0.50 -0.50 -0.25 -0.50 -0.50 +0.25 0.50 1.00 +0.50 1.00 1.00 +1.00 -1.00 0.50 -0.50 -1.00 1.00 -1.00 -2.00 2.00 -4.00 -3.00 3.00 -9.00 This is a multiplication table. Superposition doesn't mix the signals, you have to build something special to do it. When you say something like this you should also say that the sum of sine functions etc can be represented as a product of related sine functions etc. You already know that so I don't need to say it again. Anyway it is not relevant to the fact that a mixer takes voltage V_a and voltage V_b and produces: V_out = V_a * V_b A dual gate device is one way of producing multiplication but is very specific and quite possibly incorrect. Watch your language. Your are contradicting yourself. You mean inexact, it is correct in principle as you just said. I mean 'incorrect' in that they may be achieving multiplication but not using a dual gate FET. If you say "multiplication" it is non-specific and correct, saying "dual gate transistor" is specific and may be wrong because they may be using a set of matched diodes or something completely different. oscillation at a preset frequency is input to the other gate so that the output of the transistor controlled by both of these inputs contains the sum ,difference, and both input frequencies. A resonance tuner Wrong, we have been over this dozens of times. It is digitally filtered, there is no "resonance tuner" involved. The characteristics are fundamentally different. I appreciate your pointing out to me how bandpass filters made up of low pass and high pass can do the same thing as resonant filters. But I am not talking about such filters now. I am talking about the way a typical mixer that produces the intermediate frequency is tuned typically That is my point, the mixer is not tuned at all. Please explain how a mixer works if it does not contain one sort of tuning to get the difference frequency. Tuning means selecting one frequency from many. The mixer works by multiplication of two voltages, one is the reference and the other is a wide band signals with many frequencies. The result contains sum and difference frequencies as two wide bands but these are also separated by a gap. The result is filtered, not tuned, to discard one entire wide band but retain the other entire wide band. Suppose the signal is a band from 2265MHz to 2375MHz and it is multiplied by a pure sine wave of 2000MHz. The sum is a band from 4265MHz to 4375MHz while the difference is a band from 265MHz to 375MHz. To get just the difference, all you need is a simple filter that rejects anything above say 1500MHz but lets through everything below 500MHz with equal gain (between 500MHz and 1500Mhz, the gain can fall gently). out of the superposition or combination of the input frequencies, another sort to get the sum frequency, another sort to get the single frequencies. By tuning I mean a resonant inductance and capacitance to tune or filter out all but the chosen frequency That is the correct meaning of 'tuning' in this context. The point is that this is not done in the system, they work with wide bands of frequencies and treat them with equal gain, so cannot use tuning. or perhaps striclty capacitive high and low pass filters. That is correct but very different. One filter might pass everything above 250MHz equally but have a rapidly diminishing gain below that. The other would pass everything below say 400MHz equally and have a rapidly diminishing gain above that. In the region of interest, the gain is constant over all of the band of frequencies. and if there is a digital version here, then feel free to explain it. I did not understand your email explanations. Please answer this question. Sorry, I thought I had replied to that. The mixer is analogue, not digital. Maybe it was in another reply. My email explanations related to the later stages after the signal is digitised. picks out the difference frequency and a a Wrong, it doesn't pick out one frequency, it passes a complete band of frequencies to the FFT. OK relax. It is a small band of frequencies around the single difference frequency. This is always understood. No, it is a very _wide_ band of frequencies selected out of an even wider band as shown in the diagrams: We are talking about the size of the intermediate frequency range relative to the original range 1MHz is small relative to 200MHz but not to 1Hz The terms "narrow band" and "wide band" compare the width of the equipment to the width of the signal being processed. Wide band in this context means sufficiently wide that it does not exclude any frequency of interest or produce any modification of the signal such as emphasising one frequency more than another. sequence of voltages at this difference frequency.(mixer and repeated heterodyne up and down conversion etc is the jargon and the engineering details I am trying to avoid). Instead you are inventing a process that doesn't exist and describing it in far more (and incorrect) detail than exists in the published documentation. As I have detailed above you are misunderstanding what I am saying What you are saying is very different to what is being done. It may be that this is because you are using terms in an unconventional manner but you will then hit problems in referring to your text books. If you understand by difference frequency a small band around a specific difference frequency then there is no problem. This is obviously the meaning of what I have said. I know, but it is wrong. It is not a small band, it is a wide band. 1MHz is small relative 200MHz but not to 1Hz. Obviously that is what is meant here when we are talking about the reduction of the sky frequency to something that is more amenable to analysis And the reason this is possible is that the difference between the lower frequencies is the same as that between the higher. I don't quite follow that. The examples frequency bands I gave above may clarify the situation. This sequence of oscillations is digitized into a set of 1s The entire band s digitised. It is clearer to say that the observed sequence of oscillations is digitized. Again it may be clearer but it is wrong. It is not just the carrier oscillations that are digitised, it is the whole signal, oscillations plus random thermal noise and any other sources such as the galactic background. Your understanding is wrong. I did not say CARRIER oscillations You can't change the meaning of 'oscillations' to mean only the part due to the spacecraft transmitter "oscillations" means something regular, the noise is random so not regular in any way and that is critically important to extracting the signal. Your use of the word is inappropriate and confusing. I accept your apology but maybe you are similarly misreading the nasa documents and that is why you are missing the essence of the procedure. You cant see the forest from the trees. NASA don't talk of 'oscillations', they correctly talk of the signal. and 0s (1 if the analogue voltage is above a certain amount etc) and an Fast Fourier Transform procedure is used to find the underlying "sine" pattern of 1s and 0s that most closely fits this. Nope, the amplitude of _all_ frequencies in the band is calculated and passed on to the next stage without any judgement. I am talking about the final stage The final stage is the carrier PLL, not the FFT. All the FFTs are removed from the chain once the PLL locks on and they play no further part in the process. It is the PLL that tracks the drifting signal and gives us the accurate measurement. The FFT as I was using the term includes the PLL. The two are entirely diffeent and separate. The point which you insist on obscuring is that this technique gets at the right sine frequency starting at the right time from the sum of sine functions of various frequencies equivalent as Fourier showed to the noisy oscillations observed. You said "an Fast Fourier Transform procedure is used to find the underlying "sine" pattern of 1s and 0s that most closely fits" The FFT is not applied to "1s and 0s", it is applied to voltage samples. The frequency is found and the PLL commanded to start at that frequency. The PLL locks on and tracks the carrier and it uses a digital phase comparator that probably treats the signal as 1s and 0s. There are several levels of processing that you are skipping over which are very important in establishing that the signal is genuine and from the right craft. Ultimately that is your main concern, isn't it? and I mentioned that the movement of the Earth etc requires different patterns to be obtained successively but the point is that the FFT procedure finds the underlying pattern and it is this that is used to compare to the given sequence of 1s and 0s. No it isn't. The final FFT is only used to set initial frequency for the carrier PLL. If that locks, the bandwidth is reduced to improve the signal/noise ratio. You are saying the same thing that I was saying. I think it is clearer to say it without the jargon. Clearer but completely wrong. The FFT does not compare anything to a pattern of 1s and 0s. It does not compare anything to anything else and in this case it does not work on 1s and 0s. The output of that is fed to the sub-carrier PLL. Whatever the details a sequence of 1s and 0s is obtained that is a digitised intermediate version of the sky frequency. No, a series of voltages samples like +0.25, -0.375, +0.112 etc. is the result of digitising the IF. Again that has to lock before the signal can be decoded using a phase detector. Then it gets decoded through the error correction scheme. There are many critical steps after the FFT, and in fact the FFT plays no part in the decoding process whatsoever. The bottom line is a sine representation of a sum of sine frequency represention of an oscillating pattern made possible by the FFT procedure essentially and this includes the phase locked loop procedure perhaps involving the recognition of some code modulation of the carrier to insure that the fitted frequency starts at the right time. The fact that this representation is a much smaller frequency than the GHz sky frequency is ok because when you look at the difference between this and a small frequency representation of the transmitted frequency the difference is the same as the difference between the original frequencies. And it is this difference that is used to get the Doppler shift. This is the procedure I understood from your comments and various books and links. Ralph, it's as if all the weeks I spent talking you through the DSN documentation by email had never happened. You seemed to grasp it at the time, why have you reverted to this grossly inaccurate description of the process? Again I think you have misunderstood what I have said. I dont think it is inaccurate if you replace single intermediate frequency by small range of frequencies around the single intermediate frequency where small is relative the original frequency. It is very inaccurate when the DSN document tells you the analog band is the digitised band is 110MHz wide and the signals of interest are of the order of 1Hz wide. You are quoting the wrong document. We are talking about the intermediate frequency being smaller that the original frequency. Is that so hard for you to understand. What matters is how wide the frequency range is compared to what you are looking at. If the equipment only handles a band that is small in comparison to the signal, the edges will be chopped off, or if the Doppler shift was more than expected the signal might be lost entirely. If th system is 'wide band' then there is no such risk. How wide it is compared to the original is completely irrelevant. Now this matters because I know you are rferring to text boks and those will use "wide band" and "narrow band" as terms relating the width of the channle to the width of the signal, so if you look up the text for "narrow band", you are going to get entirely misleading information. I am continually amazed that a person of your knowledge and intelligence has so many blindspots. On the contrary, I can see potential mistakes you are about to make through your unfamiliarity with the jargon and I am trying to educate you in these terms to avoid those pitfalls before you reach them. And if you want to try and describe the digital version of the mixer please do so. It was not clear from your emails. The mixer is analog. The output is digitised and a baseband extracted as shown on page 10. The details of the method of mixing are not given but the principle is simply multiplication of the incoming signal (including noise) by the reference sine wave. V_out = V_in * V_ref where V_ref = A * sin(wt) This makes no sense. Electrical oscillations add by the law of superposition; Yes, which is why it takes a special ciruit to get around that. Tthey dont multiply. Dual gate fets and other methods of implementing mixers do because that is their intended function and we poor designers have to make them do it well. It's what engineers get paid for (though I personally work on the digital side). The mathematical fact that a sum of sine and cosine functions can be represented as a product of related sine and cosine functions has to be mentioned dont you think? Only if you don't already know it. The circuit multiplies the two voltages together and since the product is the same as a combination of sum and difference, you can then discard all of (say) the sum components and keep all of the difference components by a simple filter. Tuning is not required, highly undesirable, and is definitely not included in that part of the DSN system, it uses filtering instead and to remove the jargon, that means it doesn't select a single frequency from a range, it accepts the whole range, treats it all equally, and only rejects a mirror image of the range very far away. George |
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![]() "George Dishman" wrote in message ... "ralph sansbury" wrote in message ... George, I know you are a superior EE and that I like the word "adequate" in that respect. you understand or at least can imitate the jargon in the nasa documentation. I understand most extremely well, I tell you when there is something I don't understand. But you and nasa are talking to EEs and not to an audience that has some elementary understanding of electrical circuits and basic physics. I am trying to represent this in a way which is intelligible without going into details that obscure the basic procedure and why it is reliable. Understood. I am surprised at your lack of understanding of this and general lack of good will. Let me put it this way. Suppose I tried to explain America to you and said "it is a land where all are equal" and you said "that's too difficult to understand, I'm going to call it a dictatorship, it's close enough because both are political systems". Would you think that reasonable? It is what you are doing. I think you are exagerating. "ralph sansbury" wrote in message ... "George Dishman" wrote in message ... Hi Ralph, Where did you read that it was a dual gate transistor? It is surely more complex than this but this is the principle used in obtaining an intermediate frequency. OK, the principe used is multiplication. No the principle is what I said. The law of superposition suggests electrical fields are added, not multiplied. Lets write down some voltages for a mixer with two inputs and an output. This is "in principle", actuals signal levels are much smaller: V_a V_b V_out This is a multiplication table. Superposition doesn't mix the signals, you have to build something special to do it. Superposition is what occurs first. Then a filtering process. I have explained this because you evidently cant.. When you say something like this you should also say that the sum of sine functions etc can be represented as a product of related sine functions etc. You already know that so I don't need to say it again. But it appears you dont know it and that it is essential to a clear explanation. Anyway it is not relevant to the fact that a mixer takes voltage V_a and voltage V_b and produces: V_out = V_a * V_b It is very relevant. Your shorthand only makes sense to some adequate EE like yourself. A dual gate device is one way of producing multiplication but is very specific and quite possibly incorrect. Watch your language. Your are contradicting yourself. You mean inexact, it is correct in principle as you just said. I mean 'incorrect' in that they may be achieving multiplication but not using a dual gate FET. Of course. But a dual gate transistor is a simple way of getting the idea across to dummies like me. If you say "multiplication" it is non-specific and correct, saying "dual gate transistor" is specific and may be wrong because they may be using a set of matched diodes or something completely different. But it is correct in principle and that is what we are talking about here. Please explain how a mixer works if it does not contain one sort of tuning to get the difference frequency. Tuning means selecting one frequency from many. The mixer works by multiplication You are now talking about a different circuit than the one I was. And you dont really describe how the multipication is done yet. of two voltages, one is the reference and the other is a wide band signals with many frequencies. The result contains sum and difference frequencies as two wide bands but these are also separated by a gap. The result is filtered, not tuned, to discard one entire wide band but retain the other entire wide band. Suppose the signal is a band from 2265MHz to 2375MHz and it is multiplied by a pure sine wave of 2000MHz. The sum is a band from 4265MHz to 4375MHz while the difference is a band from 265MHz to 375MHz. To get just the difference, all you need is a simple filter that rejects anything above say 1500MHz but lets through everything below 500MHz with equal gain (between 500MHz and 1500Mhz, the gain can fall gently). out of the superposition or combination of the input frequencies, another sort to get the sum frequency, another sort to get the single frequencies. By tuning I mean a resonant inductance and capacitance to tune or filter out all but the chosen frequency That is the correct meaning of 'tuning' in this context. The point is that this is not done in the system, they work with wide bands of frequencies and treat them with equal gain, so cannot use tuning. or perhaps striclty capacitive high and low pass filters. That is correct but very different. One filter might pass everything above 250MHz equally but have a rapidly diminishing gain below that. The other would pass everything below say 400MHz equally and have a rapidly diminishing gain above that. In the region of interest, the gain is constant over all of the band of frequencies. and if there is a digital version here, then feel free to explain it. I did not understand your email explanations. Please answer this question. Sorry, I thought I had replied to that. The mixer is analogue, not digital. Maybe it was in another reply. My email explanations related to the later stages after the signal is digitised. picks out the difference frequency and a a Wrong, it doesn't pick out one frequency, it passes a complete band of frequencies to the FFT. OK relax. It is a small band of frequencies around the single difference frequency. This is always understood. No, it is a very _wide_ band of frequencies selected out of an even wider band as shown in the diagrams: We are talking about the size of the intermediate frequency range relative to the original range 1MHz is small relative to 200MHz but not to 1Hz The terms "narrow band" and "wide band" compare the width of the equipment to the width of the signal being processed. Wide band in this context means sufficiently wide that it does not exclude any frequency of interest or produce any modification of the signal such as emphasising one frequency more than another. sequence of voltages at this difference frequency.(mixer and repeated heterodyne up and down conversion etc is the jargon and the engineering details I am trying to avoid). Instead you are inventing a process that doesn't exist and describing it in far more (and incorrect) detail than exists in the published documentation. As I have detailed above you are misunderstanding what I am saying What you are saying is very different to what is being done. It may be that this is because you are using terms in an unconventional manner but you will then hit problems in referring to your text books. If you understand by difference frequency a small band around a specific difference frequency then there is no problem. This is obviously the meaning of what I have said. I know, but it is wrong. It is not a small band, it is a wide band. 1MHz is small relative 200MHz but not to 1Hz. Obviously that is what is meant here when we are talking about the reduction of the sky frequency to something that is more amenable to analysis And the reason this is possible is that the difference between the lower frequencies is the same as that between the higher. I don't quite follow that. The examples frequency bands I gave above may clarify the situation. This sequence of oscillations is digitized into a set of 1s The entire band is digitised. It is clearer to say that the observed sequence of oscillations is digitized. Again it may be clearer but it is wrng. It is not just the carrier oscillations that are digitised, it is the whole signal, oscillations plus random thermal noise and any other sources such as the galactic background. Your understanding is wrong. I did not say CARRIER oscillations You can't change the meaning of 'oscillations' to mean only the part due to the spacecraft transmitter "oscillations" means something regular, the noise is random so not regular in any way and that is critically important to extracting the signal. Your use of the word is inappropriate and confusing. I accept your apology but maybe you are similarly misreading the nasa documents and that is why you are missing the essence of the procedure. You cant see the forest from the trees. NASA don't talk of 'oscillations', they correctly talk of the signal. and 0s (1 if the analogue voltage is above a certain amount etc) and an Fast Fourier Transform procedure is used to find the underlying "sine" pattern of 1s and 0s that most closely fits this. Nope, the amplitude of _all_ frequencies in the band is calculated and passed on to the next stage without any judgement. I am talking about the final stage The final stage is the carrier PLL, not the FFT. All the FFTs are removed from the chain once the PLL locks on and they play no further part in the process. It is the PLL that tracks the drifting signal and gives us the accurate measurement. The FFT as I was using the term includes the PLL. The two are entirely diffeent and separate. The point which you insist on obscuring is that this technique gets at the right sine frequency starting at the right time from the sum of sine functions of various frequencies equivalent as Fourier showed to the noisy oscillations observed. You said "an Fast Fourier Transform procedure is used to find the underlying "sine" pattern of 1s and 0s that most closely fits" The FFT is not applied to "1s and 0s", it is applied to voltage samples. The frequency is found and the PLL commanded to start at that frequency. The PLL locks on and tracks the carrier and it uses a digital phase comparator that probably treats the signal as 1s and 0s. There are several levels of processing that you are skipping over which are very important in establishing that the signal is genuine and from the right craft. Ultimately that is your main concern, isn't it? and I mentioned that the movement of the Earth etc requires different patterns to be obtained successively but the point is that the FFT procedure finds the underlying pattern and it is this that is used to compare to the given sequence of 1s and 0s. No it isn't. The final FFT is only used to set initial frequency for the carrier PLL. If that locks, the bandwidth is reduced to improve the signal/noise ratio. You are saying the same thing that I was saying. I think it is clearer to say it without the jargon. Clearer but completely wrong. The FFT does not compare anything to a pattern of 1s and 0s. It does not compare anything to anything else and in this case it does not work on 1s and 0s. The output of that is fed to the sub-carrier PLL. Whatever the details a sequence of 1s and 0s is obtained that is a digitised intermediate version of the sky frequency. No, a series of voltages samples like +0.25, -0.375, +0.112 etc. is the result of digitising the IF. Again that has to lock before the signal can be decoded using a phase detector. Then it gets decoded through the error correction scheme. There are many critical steps after the FFT, and in fact the FFT plays no part in the decoding process whatsoever. The bottom line is a sine representation of a sum of sine frequency represention of an oscillating pattern made possible by the FFT procedure essentially and this includes the phase locked loop procedure perhaps involving the recognition of some code modulation of the carrier to insure that the fitted frequency starts at the right time. The fact that this representation is a much smaller frequency than the GHz sky frequency is ok because when you look at the difference between this and a small frequency representation of the transmitted frequency the difference is the same as the difference between the original frequencies. And it is this difference that is used to get the Doppler shift. This is the procedure I understood from your comments and various books and links. Ralph, it's as if all the weeks I spent talking you through the DSN documentation by email had never happened. You seemed to grasp it at the time, why have you reverted to this grossly inaccurate description of the process? Again I think you have misunderstood what I have said. I dont think it is inaccurate if you replace single intermediate frequency by small range of frequencies around the single intermediate frequency where small is relative the original frequency. It is very inaccurate when the DSN document tells you the analog band is the digitised band is 110MHz wide and the signals of interest are of the order of 1Hz wide. You are quoting the wrong document. We are talking about the intermediate frequency being smaller that the original frequency. Is that so hard for you to understand. What matters is how wide the frequency range is compared to what you are looking at. If the equipment only handles a band that is small in comparison to the signal, the edges will be chopped off, or if the Doppler shift was more than expected the signal might be lost entirely. If th system is 'wide band' then there is no such risk. How wide it is compared to the original is completely irrelevant. Now this matters because I know you are rferring to text boks and those will use "wide band" and "narrow band" as terms relating the width of the channle to the width of the signal, so if you look up the text for "narrow band", you are going to get entirely misleading information. I am continually amazed that a person of your knowledge and intelligence has so many blindspots. On the contrary, I can see potential mistakes you are about to make through your unfamiliarity with the jargon and I am trying to educate you in these terms to avoid those pitfalls before you reach them. And if you want to try and describe the digital version of the mixer please do so. It was not clear from your emails. The mixer is analog. The output is digitised and a baseband extracted as shown on page 10. The details of the method of mixing are not given but the principle is simply multiplication of the incoming signal (including noise) by the reference sine wave. V_out = V_in * V_ref where V_ref = A * sin(wt) This makes no sense. Electrical oscillations add by the law of superposition; Yes, which is why it takes a special ciruit to get around that. Tthey dont multiply. Dual gate fets and other methods of implementing mixers do because that is their intended function and we poor designers have to make them do it well. It's what engineers get paid for (though I personally work on the digital side). The mathematical fact that a sum of sine and cosine functions can be represented as a product of related sine and cosine functions has to be mentioned dont you think? Only if you don't already know it. The circuit multiplies the two voltages together and since the product is the same as a combination of sum and difference, you can then discard all of (say) the sum components and keep all of the difference components by a simple filter. Tuning is not required, highly undesirable, and is definitely not included in that part of the DSN system, it uses filtering instead and to remove the jargon, that means it doesn't select a single frequency from a range, it accepts the whole range, treats it all equally, and only rejects a mirror image of the range very far away. George |
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![]() "George Dishman" wrote in message ... "ralph sansbury" wrote in message ... George, I know you are a superior EE and that I like the word "adequate" in that respect. you understand or at least can imitate the jargon in the nasa documentation. I understand most extremely well, I tell you when there is something I don't understand. But you and nasa are talking to EEs and not to an audience that has some elementary understanding of electrical circuits and basic physics. I am trying to represent this in a way which is intelligible without going into details that obscure the basic procedure and why it is reliable. Understood. I am surprised at your lack of understanding of this and general lack of good will. Let me put it this way. Suppose I tried to explain America to you and said "it is a land where all are equal" and you said "that's too difficult to understand, I'm going to call it a dictatorship, it's close enough because both are political systems". Would you think that reasonable? It is what you are doing. I think you are exagerating. "ralph sansbury" wrote in message ... "George Dishman" wrote in message ... Hi Ralph, Where did you read that it was a dual gate transistor? It is surely more complex than this but this is the principle used in obtaining an intermediate frequency. OK, the principe used is multiplication. No the principle is what I said. The law of superposition suggests electrical fields are added, not multiplied. Lets write down some voltages for a mixer with two inputs and an output. This is "in principle", actuals signal levels are much smaller: V_a V_b V_out This is a multiplication table. Superposition doesn't mix the signals, you have to build something special to do it. Superposition is what occurs first. Then a filtering process. I have explained this because you evidently cant.. When you say something like this you should also say that the sum of sine functions etc can be represented as a product of related sine functions etc. You already know that so I don't need to say it again. But it appears you dont know it and that it is essential to a clear explanation. Anyway it is not relevant to the fact that a mixer takes voltage V_a and voltage V_b and produces: V_out = V_a * V_b It is very relevant. Your shorthand only makes sense to some adequate EE like yourself. A dual gate device is one way of producing multiplication but is very specific and quite possibly incorrect. Watch your language. Your are contradicting yourself. You mean inexact, it is correct in principle as you just said. I mean 'incorrect' in that they may be achieving multiplication but not using a dual gate FET. Of course. But a dual gate transistor is a simple way of getting the idea across to dummies like me. If you say "multiplication" it is non-specific and correct, saying "dual gate transistor" is specific and may be wrong because they may be using a set of matched diodes or something completely different. But it is correct in principle and that is what we are talking about here. Please explain how a mixer works if it does not contain one sort of tuning to get the difference frequency. Tuning means selecting one frequency from many. The mixer works by multiplication You are now talking about a different circuit than the one I was. And you dont really describe how the multipication is done yet. of two voltages, one is the reference and the other is a wide band signals with many frequencies. So the wide band signal containing many frequencies is a sequence formed by a continually changing voltage at some point that is sampled every nanosecond? The result contains sum and difference frequencies as two wide bands but these are also separated by a gap. Do you use an analogue digital converter to change the analogue voltages to digital values and multiply them and then convert this back to an analogue value? Why not just say this. The result is filtered, not tuned, to discard one entire wide band but retain the other entire wide band. How is this done? I snipped your unnecessary detailing of the obvious what is done. .. Say how this is done. out of the superposition or combination of the input frequencies, another sort to get the sum frequency, another sort to get the single frequencies. By tuning I mean a resonant inductance and capacitance to tune or filter out all but the chosen frequency That is the correct meaning of 'tuning' in this context. The point is that this is not done in the system, they work with wide bands of frequencies and treat them with equal gain, so cannot use tuning. or perhaps striclty capacitive high and low pass filters. That is correct but very different. One filter might pass everything above 250MHz equally but have a rapidly diminishing gain below that. The other would pass everything below say 400MHz equally and have a rapidly diminishing gain above that. In the region of interest, the gain is constant over all of the band of frequencies. and if there is a digital version here, then feel free to explain it. I did not understand your email explanations. Please answer this question. So explain again the analogue version with constant gain that doe not use capacitive filters etc..???? picks out the difference frequency and a a Wrong, it doesn't pick out one frequency, it passes a complete band of frequencies to the FFT. OK relax. It is a small band of frequencies around the single difference frequency. This is always understood. No, it is a very _wide_ band of frequencies selected out of an even wider band as shown in the diagrams: We are talking about the size of the intermediate frequency range relative to the original range 1MHz is small relative to 200MHz but not to 1Hz The terms "narrow band" and "wide band" We are not talking about these terms we are talking about the size of the intermediate frequency relative to the original. I snipped your diversion. It was not appropriate. An apology would be appropriate. sequence of voltages at this difference frequency.(mixer and repeated heterodyne up and down conversion etc is the jargon and the engineering details I am trying to avoid). Instead you are inventing a process that doesn't exist and describing it in far more (and incorrect) detail than exists in the published documentation. As I have detailed above you are misunderstanding what I am saying What you are saying is very different to what is being done. It may be that this is because you are using terms in an unconventional manner but you will then hit problems in referring to your text books. I am using terms in the normative sense. You are using jargon which you should explain. If you understand by difference frequency a small band around a specific difference frequency then there is no problem. This is obviously the meaning of what I have said. I know, but it is wrong. It is not a small band, it is a wide band. 1MHz is small relative 200MHz but not to 1Hz. Obviously that is what is meant here when we are talking about the reduction of the sky frequency to something that is more amenable to analysis And the reason this is possible is that the difference between the lower frequencies is the same as that between the higher. I don't quite follow that. Of course you do but you dont have the manners to apologize. The examples frequency bands I gave above may clarify the situation. So far you avoided clarification like the plague. This sequence of oscillations is digitized into a set of 1s The entire band is digitised. It is clearer to say that the observed sequence of oscillations is digitized. Again it may be clearer but it is wrong. It is not just the carrier oscillations that are digitised, it is the whole signal, oscillations plus random thermal noise and ny other sources such as the galactic background. Your understanding is wrong. I did not say CARRIER oscillations You can't change the meaning of 'oscillations' to mean only the part due to the spacecraft transmitter "oscillations" means something regular, Oh I have seen many irregular oscillations and in this context it was obvious I was talking about the noisy up and down variation -oscillating- of voltages. I accept your apology but maybe you are similarly misreading the nasa documents and that is why you are missing the essence of the procedure. You cant see the forest from the trees. NASA don't talk of 'oscillations', they correctly talk of the signal. And I am trying to clarify the jargon. What we are talking about here differs from command signals which are modulations of the carrier. We are talking about the carrier and the combination of these carrier oscillations or up and down movements of charge with other oscillations or up and down movments of charge. Now do you get it? and 0s (1 if the analogue voltage is above a certain amount etc) and an Fast Fourier Transform procedure is used to find the underlying "sine" pattern of 1s and 0s that most closely fits this. Nope, the amplitude of _all_ frequencies in the band is calculated and passed on to the next stage without any judgement. I am talking about the final stage The final stage is the carrier PLL, not the FFT. All the FFTs are removed from the chain once the PLL locks on and they play no further part in the process. It is the PLL that tracks the drifting signal and gives us the accurate measurement. The FFT as I was using the term includes the PLL. The two are entirely diffeent and separate. The point which you insist on obscuring is that this technique gets at the right sine frequency starting at the right time from the sum of sine functions of various frequencies equivalent as Fourier showed to the noisy oscillations observed. You said "an Fast Fourier Transform procedure is used to find the underlying "sine" pattern of 1s and 0s that most closely fits" The FFT is not applied to "1s and 0s", it is applied to voltage samples. The frequency is found and the PLL commanded to start at that frequency. The PLL locks on and tracks the carrier and it uses a digital phase comparator that probably treats the signal as 1s and 0s. There are several levels of processing that you are skipping over which are very important in establishing that the signal is genuine and from the right craft. Ultimately that is your main concern, isn't it? and I mentioned that the movement of the Earth etc requires different patterns to be obtained successively but the point is that the FFT procedure finds the underlying pattern and it is this that is used to compare to the given sequence of 1s and 0s. No it isn't. The final FFT is only used to set initial frequency for the carrier PLL. If that locks, the bandwidth is reduced to improve the signal/noise ratio. You are saying the same thing that I was saying. I think it is clearer to say it without the jargon. Clearer but completely wrong. The FFT does not compare anything to a pattern of 1s and 0s. It does not compare anything to anything else and in this case it does not work on 1s and 0s. The output of that is fed to the sub-carrier PLL. Whatever the details a sequence of 1s and 0s is obtained that is a digitised intermediate version of the sky frequency. No, a series of voltages samples like +0.25, -0.375, +0.112 etc. is the result of digitising the IF. But ultimately this is reduced to the sequence of 1s and 0s right? Again that has to lock before the signal can be decoded using a phase detector. Then it gets decoded through the error correction scheme. There are many critical steps after the FFT, and in fact the FFT plays no part in the decoding process whatsoever. The bottom line is a sine representation of a sum of sine frequency represention of an oscillating pattern made possible by the FFT procedure essentially and this includes the phase locked loop procedure perhaps involving the recognition of some code modulation of the carrier to insure that the fitted frequency starts at the right time. The fact that this representation is a much smaller frequency than the GHz sky frequency is ok because when you look at the difference between this and a small frequency representation of the transmitted frequency the difference is the same as the difference between the original frequencies. And it is this difference that is used to get the Doppler shift. This is the procedure I understood from your comments and various books and links. Ralph, it's as if all the weeks I spent talking you through the DSN documentation by email had never happened. You seemed to grasp it at the time, why have you reverted to this grossly inaccurate description of the process? Again I think you have misunderstood what I have said. I dont think it is inaccurate if you replace single intermediate frequency by small range of frequencies around the single intermediate frequency where small is relative the original frequency. It is very inaccurate when the DSN document tells you the analog band is the digitised band is 110MHz wide and the signals of interest are of the order of 1Hz wide. You are quoting the wrong document. We are talking about the intermediate frequency being smaller that the original frequency. Is that so hard for you to understand. What matters is how wide the frequency range is compared to what you are looking at. If the equipment only handles a band that is small in comparison to the signal, the edges will be chopped off, or if the Doppler shift was more than expected the signal might be lost entirely. If th system is 'wide band' then there is no such risk. How wide it is compared to the original is completely irrelevant. Now this matters because I know you are rferring to text boks and those will use "wide band" and "narrow band" as terms relating the width of the channle to the width of the signal, so if you look up the text for "narrow band", you are going to get entirely misleading information. I am continually amazed that a person of your knowledge and intelligence has so many blindspots. On the contrary, I can see potential mistakes you are about to make through your unfamiliarity with the jargon and I am trying to educate you in these terms to avoid those pitfalls before you reach them. And if you want to try and describe the digital version of the mixer please do so. It was not clear from your emails. The mixer is analog. The output is digitised and a baseband extracted as shown on page 10. The details of the method of mixing are not given but the principle is simply multiplication of the incoming signal (including noise) by the reference sine wave. V_out = V_in * V_ref where V_ref = A * sin(wt) This makes no sense. Electrical oscillations add by the law of superposition; Yes, which is why it takes a special ciruit to get around that. Tthey dont multiply. Dual gate fets and other methods of implementing mixers do because that is their intended function and we poor designers have to make them do it well. It's what engineers get paid for (though I personally work on the digital side). The mathematical fact that a sum of sine and cosine functions can be represented as a product of related sine and cosine functions has to be mentioned dont you think? Only if you don't already know it. The circuit multiplies the two voltages together and since the product is the same as a combination of sum and difference, you can then discard all of (say) the sum components and keep all of the difference components by a simple filter. Tuning is not required, highly undesirable, and is definitely not included in that part of the DSN system, it uses filtering instead and to remove the jargon, that means it doesn't select a single frequency from a range, it accepts the whole range, treats it all equally, and only rejects a mirror image of the range very far away. George |
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