Ideal Sequence Design in Time-Frequency Space

Applications to Radar, Sonar, and Communication Systems

  • Richard Tolimieri
  • Andrzej K. Brodzik
  • Myoung An
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Table of contents

  1. Front Matter
    Pages 1-11
  2. Myoung An, Andrzej K. Brodzik, Richard Tolimieri
    Pages 1-3
  3. Myoung An, Andrzej K. Brodzik, Richard Tolimieri
    Pages 1-8
  4. Myoung An, Andrzej K. Brodzik, Richard Tolimieri
    Pages 1-11
  5. Myoung An, Andrzej K. Brodzik, Richard Tolimieri
    Pages 1-10
  6. Myoung An, Andrzej K. Brodzik, Richard Tolimieri
    Pages 1-15
  7. Myoung An, Andrzej K. Brodzik, Richard Tolimieri
    Pages 1-18
  8. Myoung An, Andrzej K. Brodzik, Richard Tolimieri
    Pages 1-17
  9. Myoung An, Andrzej K. Brodzik, Richard Tolimieri
    Pages 1-7
  10. Myoung An, Andrzej K. Brodzik, Richard Tolimieri
    Pages 1-13
  11. Myoung An, Andrzej K. Brodzik, Richard Tolimieri
    Pages 1-10
  12. Myoung An, Andrzej K. Brodzik, Richard Tolimieri
    Pages 1-17
  13. Myoung An, Andrzej K. Brodzik, Richard Tolimieri
    Pages 1-18
  14. Myoung An, Andrzej K. Brodzik, Richard Tolimieri
    Pages 1-11
  15. Myoung An, Andrzej K. Brodzik, Richard Tolimieri
    Pages 1-17
  16. Myoung An, Andrzej K. Brodzik, Richard Tolimieri
    Pages 1-21
  17. Myoung An, Andrzej K. Brodzik, Richard Tolimieri
    Pages 1-6
  18. Back Matter
    Pages 1-7

About this book

Introduction

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.

Keywords

Fourier transform Modulation Zak space Zak transform algorithms code communication convolution dielectric material multibeam radar and sonar imaging pulse radars and sonars sequences signal design time-frequency space waveform design

Authors and affiliations

  • Richard Tolimieri
  • Andrzej K. Brodzik
  • Myoung An
  1. 1.Psypher, Inc.HuntsvilleU.S.A.
  2. 2.The MITRE CorporationBedfordU.S.A.
  3. 3.deciBel Research, Inc.HuntsvilleU.S.A.

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-8176-4738-4
  • Copyright Information Birkhäuser Boston 2009
  • Publisher Name Birkhäuser Boston
  • eBook Packages Engineering
  • Print ISBN 978-0-8176-4737-7
  • Online ISBN 978-0-8176-4738-4