This text presents a theory of time-frequency representations over finite and finitely generated abelian groups which can be used to design algorithms for multidimensional applications in imaging, electromagnetics and communication theory. Emphasis is placed on Weyl-Heisenberg systems and expansions. Algorithms are developed within this abstract setting without reference to co-ordinates or dimension. By not concerning itself with co-ordinates and dimensions, algorithmic structures can be derived which should be of importance to multidimensional applications in mathematics and electrical engineering.
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"On the one side, the book seems to be dedicated to theory-interested specialists in the area of harmonic analysis, on the other side the last chapter shows that highly theoretical constructs can efficiently be used in modern applications." ―Simulation News Europe
"[The book], devoted to the subject of time-frequency representation, shows that there are still many interesting and useful aspects of Gabor analysis, in particular, in the discrete setting." ―Zentralblatt Math
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