Introduction to Orthogonal Transforms: With Applications in Data Processing and Analysis

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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.

Summary

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

Edition Statements

Publication Date:2012.

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge
Language:eng
Publication Date:2012.

Notes

5.1 LTI systems in time and frequency domains.

The Physical Object

Description:1 online resource (592 pages)

Edition Identifiers

ISBN:9781139220187, 1139220187, 9781139223614, 1139223615, 9781139015158, 113901515X
oclc:ocn797919360
LC Classification:QA404.5 .W36 2012
Dewey Decimal:515.723

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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