Applied and Numerical Harmonic Analysis

Ideal Sequence Design in Time-Frequency Space

Applications to Radar, Sonar, and Communication Systems

Authors: An, Myoung, Brodzik, Andrzej K., tolimieri, Richard

  • Applications to radar, sonar, and communication systems
  • A rigorous mathematical development is illustrated with many examples
  • Numerous tables compare signal sets satisfying good correlation properties attainable by standard communication theory methods versus Zak space methods
  • A variety of mathematical and application-oriented open problems are discussed
  • For graduate students, researchers, and engineers in radar, sonar, and communication systems
see more benefits

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-0-8176-4738-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-0-8176-4737-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This self-contained book develops theory and algorithms leading to systematic sequence design in time-frequency space. The primary tool used is the Zak transform, which provides sparse representation for the Fourier transform, convolution, and correlation. Using this multi-dimensional representation, the authors construct a large class of sequence sets satisfying pairwise ideal correlation. The complex algebraic analysis of sequences is replaced by an elegant and efficient geometric analysis of images, whose advantage is realized as an N to N! increase in the number of ideal sequence sets.

Topics and features:

* Mathematical development of the theory is illustrated with many examples.

* Standard communication theory and Zak space methods are numerically compared.

* Application areas covered include pulse radar and sonar, multi-beam radar and sonar imaging systems, remote identification of dielectrics, and code division multiple-access communication.

* Background is provided in two introductory chapters on matrix algebra, tensor products, and permutation groups.

* A list of open problems is presented and directions for further research are discussed.

Ideal Sequence Design in Time-Frequency Space is an excellent reference text for graduate students, researchers, and engineers interested in radar, sonar, and communication systems. The work may also be used as a supplementary textbook for a graduate course or seminar on sequence design in time-frequency space.

Reviews

From the reviews:

"The book … develops a new theory leading to systematic sequence design in time-frequency space. The essential tool of this interesting method is the finite Zak transform, which provides sparse representations for the discrete Fourier transform, cyclic convolution, and correlation. Using this Zak representation, the authors construct a large class of sequence sets satisfying pairwise ideal correlation. … This interesting and well-written book will be a useful reference text for graduate students, researchers, and engineers interested in radar/sonar signal processing or communication systems." (Manfred Tasche, Zentralblatt MATH, Vol. 1160, 2009)


Table of contents (16 chapters)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-0-8176-4738-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-0-8176-4737-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Ideal Sequence Design in Time-Frequency Space
Book Subtitle
Applications to Radar, Sonar, and Communication Systems
Authors
Series Title
Applied and Numerical Harmonic Analysis
Copyright
2009
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4738-4
DOI
10.1007/978-0-8176-4738-4
Hardcover ISBN
978-0-8176-4737-7
Series ISSN
2296-5009
Edition Number
1
Number of Pages
XII, 224
Number of Illustrations and Tables
81 b/w illustrations
Topics