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:

* Rigorous mathematical development of the theory is illustrated with many examples.

* Numerous tables compare signal sets satisfying good correlation properties attainable by standard communication theory methods versus Zak space methods.

* 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.

* A variety of mathematical and application-oriented open problems are discussed.