Mathematical Aspects of Signal Processing

Pradip Sircar

doi:10.1017/9781316796832

Written using clear and accessible language, this text provides detailed coverage of the core mathematical concepts underpinning signal processing. All the core areas of mathematics are covered, including generalized inverses, singular value decomposition, function representation, and optimization, with detailed explanations of how basic concepts in these areas underpin the methods used to perform signal processing tasks. A particular emphasis is placed on the practical applications of signal processing, with numerous in-text practice questions and real-world examples illustrating key concepts, and MATLAB programs with accompanying graphical representations providing all the necessary computational background. This is an ideal text for graduate students taking courses in signal processing and mathematical methods, or those who want to establish a firm foundation in these areas before progressing to more advanced study.

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Mathematical Aspects of Signal Processing

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Contents

Frontmatter
pp i-iv

Dedication
pp v-vi

Contents
pp vii-x

Figures
pp xi-xii

Tables
pp xiii-xiv

Foreword
pp xv-xvi

Preface
pp xvii-xviii

Acknowledgments
pp xix-xx

1 - Paradigm of Signal Processing
pp 1-21

2 - Function Representation
pp 22-79

3 - Generalized Inverse
pp 80-114

4 - Modal Decomposition
pp 115-163

5 - Optimization
pp 164-227

Solutions of Problems
pp 228-229

Index
pp 230-236

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Mathematical Aspects of Signal Processing

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