Ideal Sequence Design in Time-Frequency Space

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.§Topics and features include a rigorous mathematical development of the theory, illustrated by many examples; numerous tables, which compare signal sets satisfying good correlation properties attainable by standard communication theory methods versus Zak space methods; applications in pulse radars and sonars, multibeam radar and sonar imaging systems, remote dielectric material identification, and code division multiple-access communication systems; and a variety of mathematical and application-oriented open problems.§Ideal Sequence Design in Time-Frequency Space is an excellent reference text for graduate students, researchers, and engineers 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.