Ideal Sequence Design in Time-Frequency Space Applications to Radar, Sonar, and Communication Systems /

• Main Authors: Tolimieri, Richard. (Author), Brodzik, Andrzej K. (Author), An, Myoung. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Boston : Birkhũser Boston, 2009.
• Series: Applied and Numerical Harmonic Analysis
• Subjects: Engineering.; Harmonic analysis.; Fourier analysis.; Mathematics.; Algorithms.; Telecommunication.; Abstract Harmonic Analysis.; Applications of Mathematics.; Communications Engineering, Networks.; Fourier Analysis.; Signal, Image and Speech Processing.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-4738-4

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...

Table of 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.