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Synopsis
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.
Booknews
Presents several topics in time-frequency analysis as subjects in abelian group theory, including linear algebra and abelian groups, poisson summation formula, Weyl-Heisenberg systems, duality, and multirate structures. Ends with an eye towards the practical, with "A Time-frequency search for stock market anomalies. Annotation c. by Book News, Inc., Portland, Or.