Signal processing transforms

Serhan Yarkan; Khalid A. Qaraqe

doi:10.1201/9781351105668

Signal processing transforms

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Abstract

In a broader scope, a transformation in mathematics can broadly be defined as the operation which takes its input and “represents” it in a different form. Such a definition immediately implies preserving the essential characteristics of the input through several conservation rules or laws. In order to outline the complete input-output relationship in an abstract transformation, the input and output of the transformation should be characterized as well. Therefore, mathematically speaking, a transformation can be viewed as a special function (or a correspondence) whose input and output can be a single value or another function. In this context, signals are considered to be both input and output functions of the transformation of interest.

Original language	English
Title of host publication	Mathematical Foundations for Signal Processing, Communications, and Networking
Publisher	CRC Press
Pages	5-33
Number of pages	29
ISBN (Electronic)	9781439855140
ISBN (Print)	9781138072169
DOIs	https://doi.org/10.1201/9781351105668
Publication status	Published - 1 Jan 2017
Externally published	Yes

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Signal processing transforms

Abstract

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