Time-Frequency Representations provides a fundamental survey of time-frequency representations over finite and finitely generated abelian groups that can be used to design algorithms for multi-dimensional applications. Emphasis is placed on Weyl-Heisenberg systems and expansions.

Algorithms are developed within this abstract setting without reference to coordinates or dimension, allowing the derivation of new algorithmic structures with significant importance to multidimensional problems and applications. In addition, tensor product representation is fully developed for the modeling of time-frequency computations.

This new book is an excellent text/reference for all computer scientists, computational mathematicians, and electrical engineers who need to understand the foundations of time-frequency representations and their use for multidimensional computations.