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The Discrete Fourier Transform (DFT) is a mapping between a finite set of discrete points in a (primal) domain (time, space) and the dual frequency domain. DFT requires an input sequence which is discrete, such as a sampling from an analogue audio signal.

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DFT of sum of sinusoids with random zeroed samples

The following figure shows the DFT before and after zeroing, the number of zeroed samples are 40 out of 128 samples. Obviously there is no much degradation of the DFT spectrum,. …
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Estimation of Two Closely Spaced Frequencies?

What is the best frequency estimation algorithm for two closely spaced frequencies in term of the minimum frequency spacing achieved?