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 eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2009.
• Series: Applied and Numerical Harmonic Analysis
• Subjects: Engineering.; Harmonic analysis.; Fourier analysis.; Applied mathematics.; Engineering mathematics.; Algorithms.; Electrical engineering.; Signal, Image and Speech Processing.; Fourier Analysis.; Communications Engineering, Networks.; Applications of Mathematics.; Abstract Harmonic Analysis.

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:

• 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
• #x002A;-Permutations
• Permutation Sequences
• Modulation
• Sequence Sets
• Echo Analysis
• Sequence Shaping
• Problems.