Series 
Applied and numerical harmonic analysis 

Applied and numerical harmonic analysis.

Subject 
Sequency theory.


Fourier transformations.


Frequencies of oscillating systems.


Radar.


Sonar.


Telecommunication systems  Design and construction.

Alt Name 
Brodzik, Andrzej K.


Tolimieri, Richard, 1940

Description 
1 online resource (xii, 218 pages) : illustrations. 
Bibliography Note 
Includes bibliographical references (pages 213215) and index. 
Contents 
ANHA Series Preface  Preface  Introduction  Review of Algebra  Permutations and Permutation Matrices  Finite Fourier Transform  Convolution and Correlation  Discrete Chirps  Zak Transform  Zak Space Correlation Formula  Zak Space Representation of Chirps  *Permutations  Permutation Sequences  Modulation  Sequence Sets  Echo Analysis  Sequence Shaping  Problems  References  Index. 
Summary 
This selfcontained book develops theory and algorithms leading to systematic sequence design in timefrequency space. The primary tool used is the Zak transform, which provides sparse representation for the Fourier transform, convolution, and correlation. Using this multidimensional 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, multibeam radar and sonar imaging systems, remote identification of dielectrics, and code division multipleaccess 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 TimeFrequency 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 timefrequency space. 
Note 
English. 

Print version record. 
ISBN 
9780817647384 

0817647384 

0817647376 

9780817647377 
ISBN/ISSN 
10.1007/9780817647384 
OCLC # 
310353037 
Additional Format 
Print version: An, Myoung. Ideal sequence design in timefrequency space. Boston : Birkhauser, 2009 9780817647377 0817647376 (OCoLC)191760034 
