Signal Processing Toolbox

Specialized Transforms

In addition to the discrete Fourier transform (DFT) described in Chapter 1, Signal Processing Basics, 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