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If only the baseband frequency is sampled at 6kHz then
information is missing to recreate the original 100kHz and the sampling information is insufficient to recreate the original signal. This is analogous to saying the number 1234 can be represented by (1234-234) / 1000 = 1 If I supply the number 1.0 you can regenerate the number 1234 from it? Not true, without the rest of the sampling information. The sample is incomplete. Bandwidth sampling only cannot recreate the original signal. "Me" wrote in message ... In article , "daestrom" wrote: "Spehro Pefhany" wrote in message ... On Fri, 23 Dec 2005 18:46:49 GMT, the renowned "daestrom" wrote: wrote in message ... Joel Kolstad wrote: (I can't tell you how many times I've seen people stating something like, 'The Nyquist theorem requires sampling at at least twice the highest frequency present in the signal," when of course it says no such thing.) What do you think it means? Nyquist figured out that higher frequency components of the input signal will 'alias' and you will lose the ability to tell them from lower frequency components. In order to avoid 'losing information' and not being able to tell whether a particular sample stream was from a low or high frequency component, Nyquist's theorem states you must sample at least twice as fast as the highest component present. snip More than twice the bandwidth. So, if I have a signal with a 1000 hz carrier, with a bandwidth of 50 hz, you think I can sample it at just 150 hz and get accurate reproduction? That's just wrong. It is the maximum frequency component in the signal that is important. The bandwidth is not related unless the lower edge of the band is at 0 hz (whereupon the upper side of the band is equal to the max frequency). daestrom You are getting your terms confused here guys. Nyquist requires that you input both the Center Frequency, and Bandwidth when determining the Sampling Rate. If the sampling is done at BaseBand then only the Bandwidth is relevent. If the sampling is not done at baseband, then the Center Frequency, and Bandwidth are required to determine samling rate. Example, if the Bandwith of the signal is 3Kc and the sampling is done at BaseBand then sample rate needed would 6Kc. If the sampling is done at 100 Mhz with the same 3Kc bandwidth, then a 200.006 Mhz sampling rate would be required. It is much easyier to do DSP at baseBand, than at IF Frequencies, and if you do DSP at IF Frequencies, the lower the IF Frequency, the easyier it is to do, and the slower the DSP has to run. Me |
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