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Answer by Richard Lyons for How is the DTFT of a periodic, sampled signal...
@geo. To show an example of why there's so much confusion regarding "DFT periodicity", below is a paragraph from a famous college DSP textbook:Think, now, of what the book is saying. It's saying we can...
View ArticleAnswer by Richard Lyons for How is the DTFT of a periodic, sampled signal...
I believe I answered your original 'DFT versus DTFT' question. I see from your Comment following Matt L's Answer that you are contemplating a DFT topic that is commonly misunderstood. An input sequence...
View ArticleAnswer by hotpaw2 for How is the DTFT of a periodic, sampled signal linked to...
The DFT is an orthogonal matrix transform of a finite vector of data. The DTFT is the transform of potentially an infinite span of data or a function with infinite support.If you have a function with...
View ArticleAnswer by Matt L. for How is the DTFT of a periodic, sampled signal linked to...
I think that your misunderstanding comes from the fact that you assume that $f[n]$ is periodic. If $f[n]$ were periodic then its DTFT would be a Dirac comb. What is happening here is that you want to...
View ArticleAnswer by Richard Lyons for How is the DTFT of a periodic, sampled signal...
All your algebra is for infinite-length sequences, and you cannot compute a DFT of an infinite-length sequence. So let's talk about finite-length sequences. Please realize that the DTFT of a...
View ArticleHow is the DTFT of a periodic, sampled signal linked to the DFT?
I am trying to understand the connection between FT, DTFT and ultimately the DFT. But I am failing to link the DTFT to the DFT.This is how far I am getting: Say I have a function $f(t)$, and its...
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