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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2
Least Squares, Orthogonality, and the Fourier Series
2.1 Introduction
The three topics reviewed in this chapter (least squares, orthogonality, and the Fourier series) have been fundamental to digital signal processing (DSP) since its beginning. An understanding of these subjects provides insight into almost every area of spectral analysis and DSP system design. These three topics are related to each other. The use of orthogonal functions greatly simplifies the process of finding a least-squares fit of a linear function to a set of data. The Fourier series is an important example of a linear least-squares function, and the Fourier series is a series made up of orthogonal functions.
In this chapter, we provide a brief review of these ...
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