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The Autocorrelation from the FFT

It can be shown that the Fourier transform of the power spectrum is the autocorrelation function. In applications where the full autocorrelation function is needed it may be faster to use this method that the direct computation. The result for the example speech is shown in figure 33.

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Figure 33: The autocorrelation function via the DFT



Speech Vision Robotics group/Tony Robinson