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Digital Audio Signal Processing, 3rd Edition
book

Digital Audio Signal Processing, 3rd Edition

by Udo Zölzer
March 2022
Intermediate to advanced
416 pages
13h 37m
English
Wiley
Content preview from Digital Audio Signal Processing, 3rd Edition

Chapter 10Nonlinear Processing

M. Holters and L. Köper

10.1 Fundamentals

Linear systems—filters—play an important role in audio signal processing. Linearity here means that the superposition property holds: denote the output of a system excited with input signals x 1 left-parenthesis n right-parenthesis and x 2 left-parenthesis n right-parenthesis with y 1 left-parenthesis n right-parenthesis and y 2 left-parenthesis n right-parenthesis, respectively. If the system maps the superposition of the input signals x left-parenthesis n right-parenthesis equals a 1 x 1 left-parenthesis n right-parenthesis plus a 2 x 2 left-parenthesis n right-parenthesis to the corresponding superposition y left-parenthesis n right-parenthesis equals a 1 y 1 left-parenthesis n right-parenthesis plus a 2 y 2 left-parenthesis n right-parenthesis at the output (for any x 1 comma x 2 comma a 1 comma a 2), it is considered linear. Systems that do not fulfill this property are accordingly called nonlinear. One important consequence of linearity, when combined with time invariance, is that systems can be fully described in the frequency domain by their transfer function. Therefore, frequency components present in the input signal can be amplified or attenuated and phase‐shifted, but ...

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ISBN: 9781119832676Purchase Link