375 citations · 854 across the 8 of their papers we have counts for
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cs.IT2010
Algebraic Signal Processing Theory: Cooley-Tukey Type Algorithms for Polynomial Transforms Based on Induction
Aliaksei Sandryhaila, Jelena Kovacevic, Markus Pueschel
A polynomial transform is the multiplication of an input vector $x\in\C^n$ by a matrix $\PT_{b,α}\in\C^{n\times n},$ whose -th element is defined as for pol…
cs.IT2007★ 101 cited
Algebraic Signal Processing Theory: Cooley-Tukey Type Algorithms for DCTs and DSTs
Markus Pueschel, Jose M. F. Moura
This paper presents a systematic methodology based on the algebraic theory of signal processing to classify and derive fast algorithms for linear transforms. Instead of manipulatin…
cs.IT2006
Algebraic Signal Processing Theory
Markus Püschel, José M. F. Moura
This paper presents an algebraic theory of linear signal processing. At the core of algebraic signal processing is the concept of a linear signal model defined as a triple (A, M, p…