This book develops theory and algorithms leading to systematic waveform design in time-frequency space. The key tool employed in the work is the Zak transform, which provides a two-dimensional image for sequences, the Fourier transform, convolution, and correlation, and allows for the design of sequences directly in Zak space. Application areas covered include pulse radars and sonars, multibeam radar and sonar imaging systems, remote dielectric material identification, and code division multiple-access communication systems. This is an excellent reference text for graduate students, researchers, and engineers in radar, sonar, and communication systems.

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