Chapter 5. Transforms

Definitions

In this section we will look at what transforms are and why they are of interest. We will then use the previous discussion on orthogonality and quadrature to develop some useful transforms and their applications. First, we will define some terms used in this chapter. A transform is a procedure, equation, or algorithm that changes one group of data into another group of data. The discrete Fourier transform (DFT) is a computational technique for computing the transform of a signal. It is normally used to compute the spectrum of a signal from the time domain version of the digitized signal. The Fourier transform is a mathematical transform using sinusoids as the basis function. The z-transform is a mathematical ...

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