Signals and Communication Technology

Symmetries and Groups in Signal Processing

An Introduction

Authors: Sinha, Virendra P.

  • Highlights the role of modern algebra in signal processing
  • Introduces group theoretic techniques of exploiting symmetry for engineering students
  • Explains group representation theory with the help of examples
  • Discusses relevance of contemporary theories of measurement and modeling
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eBook $149.00
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  • ISBN 978-90-481-9434-6
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Hardcover $189.00
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  • ISBN 978-90-481-9433-9
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Softcover $189.00
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  • ISBN 978-94-007-3300-8
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  • Usually dispatched within 3 to 5 business days.
About this book

Symmetries and Groups in Signal Processing: An Introduction deals with the subject of symmetry, and with its place and role in modern signal processing. In the sciences, symmetry considerations and related group theoretic techniques have had a place of central importance since the early twenties. In engineering, however, a matching recognition of their power is a relatively recent development. Despite that, the related literature, in the form of journal papers and research monographs, has grown enormously. A proper understanding of the concepts that have emerged in the process requires a mathematical background that goes beyond what is traditionally covered in an engineering undergraduate curriculum.

Admittedly, there is a wide selection of excellent introductory textbooks on the subject of symmetry and group theory. But they are all primarily addressed to students of the sciences and mathematics, or to students of courses in mathematics. Addressed to students with an engineering background, this book is meant to help bridge the gap.

Reviews

From the reviews:

“This is an modern introduction to theoretical topics in field of signal processing, which is based on representation theory of groups. It is suitable for beginning graduate students and does not require from reader solid mathematical prerequisites. … Abstract concepts are illustrated with their concrete engineering interpretations … . this style makes the whole book very readable and suitable as textbook.” (Jaak Henno, Zentralblatt MATH, Vol. 1205, 2011)

Table of contents (6 chapters)

  • Signals and Signal Spaces: A Structural Viewpoint

    Sinha, Virendra P.

    Pages 1-41

  • Algebraic Preliminaries

    Sinha, Virendra P.

    Pages 43-68

  • Measurement, Modeling, and Metaphors

    Sinha, Virendra P.

    Pages 69-80

  • Symmetries, Automorphisms and Groups

    Sinha, Virendra P.

    Pages 81-104

  • Representations of Finite Groups

    Sinha, Virendra P.

    Pages 105-141

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-90-481-9434-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-90-481-9433-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-94-007-3300-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Symmetries and Groups in Signal Processing
Book Subtitle
An Introduction
Authors
Series Title
Signals and Communication Technology
Copyright
2010
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-90-481-9434-6
DOI
10.1007/978-90-481-9434-6
Hardcover ISBN
978-90-481-9433-9
Softcover ISBN
978-94-007-3300-8
Series ISSN
1860-4862
Edition Number
1
Number of Pages
XII, 160
Topics