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From: Tim Wescott on 19 May 2010 12:01 fisico32 wrote: > Hello forum, > > while a composite signal (made of many sinusoids), if sampled at a sampling > frequency f_s at least twice the largest frequency in the signal, can be > "uniquely" reconstructed from its samples, > a continuous pure sinusoid of freq f instead, no matter if sampled at twice > or more its frequency, will give samples that can be the samples of other > sinuosids, all those with frequency f+-n*f_s where f_s the sampling > frequency.... > > The sampling criterion then works only for a signal with more than one > sinusoid... > > Am I correct? No. Think. What is the process that they use to reconstruct that complex signal from the sampled one? What happens when you attempt to reconstruct a sampled single sinusoidal signal, using that process? (what happens when you try to say "sampled single sinusoidal signal" three times fast?). Finally: Is the sampling and reconstruction process a linear process? If you think it isn't, explain. If you think it is, how can you reconstruct a complex signal but not a simple one? -- Tim Wescott Control system and signal processing consulting www.wescottdesign.com
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