April 2016
Intermediate to advanced
516 pages
12h 44m
English
book
Digital Signal Processing with Examples in MATLAB, 2nd Edition
by Samuel D. Stearns, Donald R. Hush
Content preview from Digital Signal Processing with Examples in MATLAB, 2nd Edition
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8
Least-Squares System Design
8.1 Introduction
The least-squares principle is widely applicable to the design of digital signal processing (DSP) systems. In Chapter 2, we saw how to fit a general linear combination of functions to a desired function or sequence of samples, and how the finite Fourier series, as an example, provides a least-squares fit to a sequence of data. In Chapter 5, Exercise 5.5, we saw that the finite impulse response (FIR) filter gain may be expressed as a Fourier series in frequency and is therefore a least-squares approximation to the ideal rectangular gain function. In this chapter, we wish to extend the least-squares concept to the design of other kinds of signal processing systems. We will see how several ...
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