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The fast Fourier transform is an efficient algorithm to compute the discrete Fourier transform (DFT) and its inverse.

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Using FFT as a channeliser

Use of the fft provides a resource efficient way to implement a bank of bandpass filters. You don't have to use an fft, but you'd require more multiply/add operations without it. … The Fred Harris book "Multirate Signal Processing" does a pretty good job of explaining how one arrives at the FFT implementation. …
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Measure the SNR of a signal in the frequency domain?

If your sine wave happens to fall at an FFT bin center, things are a little easier. If your sine wave happens to not fall at a bin center, you have to consider spectral leakage. … A simple technique to estimate the signal power would be to sum the squared magnitudes of the FFT bins with most of the signal's energy (i.e. the largest bins). …
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