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Theory: Continuos FT and DFT

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jasonkee111

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Hi. I can't find a place to discuss on theory. So, i decide to post it here. Hope that anyone can answer for query..

FYI, i read the Understand Digital Signal Processing.pdf

Background:

From the book, When sampling a continuos time-domain function, having a CFT, and take the DFT of those samples, the DFT results in a frequency domain sampled approximation of CFT.

Question
Why can we use the output of CFT to perform the DFT?

Reason to ask:The output of continuous fourier transform(CFT) is in frequency domain ( continuos signal ) while the input of DFT (before tranformation) have to be in discrete.

Thanks a lot
 

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