Introduction to orthogonal transforms: with applications in data processing and analysis

by Wang, Ruye

Type Book
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A systematic, unified treatment of orthogonal transform methods that guides the reader from mathematical theory to problem solving in practice.

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Title Statements

  • Full title :Introduction to orthogonal transforms : with applications in data processing and analysis / Ruye Wang.

Summary

A systematic, unified treatment of orthogonal transform methods that guides the reader from mathematical theory to problem solving in practice.

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Edition Statements

  • Publication Date:2012.

Publication Statements

Notes

Titre de l'écran-titre (visionné le 26 mars 2013).

The Physical Object

  • Description:1 online resource (1 texte électronique (xxii, 568 p.)) : : ill., fichiers HTML et PDF

Edition Identifiers

  • oclc:ocn847602197
  • LC Classification:QA404.5 .W36 2012
  • Dewey Decimal:515.723

Table of Contents

Cover; Introduction to Orthogonal Transforms: With Applications in Data Processing and Analysis; Title; Copyright; Dedication; Contents; Preface; What is the book all about?; Why orthogonal transforms?; What is in the chapters?; Who are the intended readers?; About the homework problems and projects; Back to Euclid; Acknowledgments; Notation; General notation; 1: Signals and systems; 1.1 Continuous and discrete signals; 1.2 Unit step and nascent delta functions; 1.3 Relationship between complex exponentials and delta functions; 1.4 Attributes of signals.

1.5 Signal arithmetics and transformations1.6 Linear and time-invariant systems; 1.7 Signals through continuous LTI systems; 1.8 Signals through discrete LTI systems; 1.9 Continuous and discrete convolutions; 1.10 Homework problems; 2: Vector spaces and signal representation; 2.1 Inner product space; 2.1.1 Vector space; 2.1.2 Inner product space; 2.1.3 Bases of vector space; 2.1.4 Signal representation by orthogonal bases; 2.1.5 Signal representation by standard bases; 2.1.6 An example: the Fourier transforms; 2.2 Unitary transformation and signal representation; 2.2.1 Linear transformation.

2.2.2 Eigenvalue problems2.2.3 Eigenv…

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Subjects

Fonctions orthogonales Functions, Orthogonal Méthodes d'orthogonalisation Orthogonal arrays Orthogonal polynomials Orthogonalization methods Polynômes orthogonaux Réseaux orthogonaux Transformations (Mathematics)

Writers

Wang, Ruye

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