Signal Processing Toolbox

Specialized Transforms

In addition to the discrete Fourier transform (see fft), the Signal Processing Toolbox and the MATLAB environment together provide the following transform functions:

• The chirp z-transform (CZT), useful in evaluating the z-transform along contours other than the unit circle. The chirp z-transform is also more efficient than the DFT algorithm for the computation of prime-length transforms, and it is useful in computing a subset of the DFT for a sequence.
• The discrete cosine transform (DCT), closely related to the DFT. The DCT's energy compaction properties are useful for applications like signal coding.
• The Hilbert transform, which facilitates the formation of the analytic signal. The analytic signal is useful in the area of communications, particularly in bandpass signal processing.

Deconvolution

Chirp z-Transform