Signal processing transforms

Serhan Yarkan, Khalid Qaraqe

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish
Title of host publicationMathematical Foundations for Signal Processing, Communications, and Networking
PublisherCRC Press
Pages5-33
Number of pages29
ISBN (Electronic)9781439855140
ISBN (Print)9781138072169
DOIs
Publication statusPublished - 1 Jan 2017

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ASJC Scopus subject areas

  • Computer Science(all)
  • Mathematics(all)
  • Engineering(all)

Cite this

Yarkan, S., & Qaraqe, K. (2017). Signal processing transforms. In Mathematical Foundations for Signal Processing, Communications, and Networking (pp. 5-33). CRC Press. https://doi.org/10.1201/9781351105668