Re: Zero Padding in radix 2 FFT
- From: "robert bristow-johnson" <rbj@xxxxxxxxxxxxxxxxxxxx>
- Date: 1 Jan 2006 12:28:27 -0800
stevenj@xxxxxxxxxxxx wrote:
>
> Um, since when was the DFT the same as the Fourier series? Let's not
> confuse approximation with definition.
well, it isn't the same as a Fourier series of a periodic
continuous-time function, but the DFT most certainly is the same as the
Fourier series of a periodic discrete-time function. the DFT maps a
discrete periodic function in one domain (call it the "time domain") of
period N, to another discrete periodic function in the reciprocal
domain (call that the "frequency domain") of the same period length, N.
both discrete periodic functions are fully defined by N complex
numbers and the DFT maps the N numbers from one to the N numbers of the
other.
do you disagree with this characterization, Steven?
r b-j
(still in FL)
.
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