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#1
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Hello All,
I was going through an ADC tutorial and realized that they use the term input bandwidth more frequently as one of the important factors to be considered before choosing an ADC. Based on my search, I found out that "the input bandwidth is something that determines the maximum bandwidth of an input signal that can be accurately sampled, regardless of the stated sample rate". http://www.diamondsystems.com/slides...utorial&page=4 I am not sure why is this input bandwidth different from Fs/2. From the above link, one of the example has Fs/4. Is it just because to increase more precision that we use a sampling frequency 4 times the bandwidth of the signal? I assume for practical reasons, we oversample it but that is for more precision (correct me) but the Nyquist criteria still holds good for sampling the frequencies upto Fs/2. That means I can still get the original signal. I am not sure about the accuracy though. Also, can I say that if an ADC is oversampled 4 times the Nyquist rate (Fs = 4*BW), then is my input frequency given by Fs/4? Assume single channel case. Correct me if I am wrong. Thanks for your responses. |
#3
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The Nyquist sample rate of Fs/2 is the minimum rate at which you can
sample and theoretically recover the exact original signal. It's only theoretical, though, because recovery of the signal from the samples would require a perfect, "brick-wall" frequency response, flat phase response, low pass filter. Because we're stuck with using real filters, we have to sample at a considerably higher rate if we want to recover the original signal. Just how fast you have to sample depends on how good a filter you're willing to construct and how much distortion in the reconstructed signal you're willing to tolerate. The bandwidth of an ADC can be limited by things other than the sampling characteristics, such as internal circuitry and packaging. For that matter, the distortion can also greatly exceed the amount determined only by quantization error. Roy Lewallen, W7EL wrote: Hello All, I was going through an ADC tutorial and realized that they use the term input bandwidth more frequently as one of the important factors to be considered before choosing an ADC. Based on my search, I found out that "the input bandwidth is something that determines the maximum bandwidth of an input signal that can be accurately sampled, regardless of the stated sample rate". http://www.diamondsystems.com/slides...utorial&page=4 I am not sure why is this input bandwidth different from Fs/2. From the above link, one of the example has Fs/4. Is it just because to increase more precision that we use a sampling frequency 4 times the bandwidth of the signal? I assume for practical reasons, we oversample it but that is for more precision (correct me) but the Nyquist criteria still holds good for sampling the frequencies upto Fs/2. That means I can still get the original signal. I am not sure about the accuracy though. Also, can I say that if an ADC is oversampled 4 times the Nyquist rate (Fs = 4*BW), then is my input frequency given by Fs/4? Assume single channel case. Correct me if I am wrong. Thanks for your responses. |
#4
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wrote:
Hello All, I was going through an ADC tutorial and realized that they use the term input bandwidth more frequently as one of the important factors to be considered before choosing an ADC. Based on my search, I found out that "the input bandwidth is something that determines the maximum bandwidth of an input signal that can be accurately sampled, regardless of the stated sample rate". http://www.diamondsystems.com/slides...utorial&page=4 I am not sure why is this input bandwidth different from Fs/2. From the above link, one of the example has Fs/4. Is it just because to increase more precision that we use a sampling frequency 4 times the bandwidth of the signal? They are different because they are two completely different things. In a successive approximation or flash ADC the signal sampling happens over a very brief window, so aliasing happens over a very wide band. This means(for instance) that you could sample a signal at 10.25 times the sample rate of the ADC and have it come out at 0.25 Fs, assuming that your sampling jitter is small enough and your signal is intact going into the sampler at that frequency. The input bandwidth of the ADC is just the bandwidth of the ADCs circuitry leading up to the sampling stage. In principal it could be just about anything. In practice SAR and flash ADC's have relatively wide input bandwidths, while sigma-delta and slope converters have input bandwidths closely matched to the sampling rate. I assume for practical reasons, we oversample it but that is for more precision (correct me) but the Nyquist criteria still holds good for sampling the frequencies upto Fs/2. That means I can still get the original signal. I am not sure about the accuracy though. Theoretically the Nyquist criteria holds up to Fs/2. Practically you need to oversample at much greater frequencies than that, or sweat blood on your anti-alias filters. Also, can I say that if an ADC is oversampled 4 times the Nyquist rate (Fs = 4*BW), then is my input frequency given by Fs/4? Assume single channel case. You can say that your bandwidth is given by Fs/4. Your input frequency depends on the characteristics of your input signal, which may be quite different from the characteristics of your input filter. Correct me if I am wrong. Thanks for your responses. -- Tim Wescott Wescott Design Services http://www.wescottdesign.com Posting from Google? See http://cfaj.freeshell.org/google/ "Applied Control Theory for Embedded Systems" came out in April. See details at http://www.wescottdesign.com/actfes/actfes.html |
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