From the convolution theorem, we can see that the phase response
is the phase-shift added by the filter to an input sinusoidal
component at frequency , since

The topics touched upon in this section are developed more fully in
the next book [68] in the music signal processing series
mentioned in the preface.
Next Section: Cross-Correlation Previous Section: Amplitude Response

Detailed derivation of the Discrete Fourier Transform (DFT) and its associated mathematics, including elementary audio signal processing applications and matlab programming examples.