Richard Tolimieri Reihenfolge der Bücher

Focusing on the intersection of time-frequency analysis and abelian group theory, this work emphasizes the unifying role of group structures in developing theory and algorithms. It is divided into two parts: one covering Weyl-Heisenberg representations over finite abelian groups, and the other addressing multirate filter structures over free abelian groups of finite rank. The methods employed are dimensionless and coordinate-free, facilitating applications to both one and multidimensional problems, while prioritizing simplicity over mathematical necessity.

This graduate-level text provides a language for understanding, unifying, and implementing a wide variety of algorithms for digital signal processing - in particular, to provide rules and procedures that can simplify or even automate the task of writing code for the newest parallel and vector machines.