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CORR
2007
Springer
194views Education» more  CORR 2007»
13 years 6 months ago
Algebraic Signal Processing Theory: Cooley-Tukey Type Algorithms for DCTs and DSTs
Abstract—This paper presents a systematic methodology to derive and classify fast algorithms for linear transforms. The approach is based on the algebraic signal processing theor...
Markus Püschel, José M. F. Moura
TSP
2010
13 years 1 months ago
Algebraic signal processing theory: sampling for infinite and finite 1-D space
We derive a signal processing framework, called space signal processing, that parallels time signal processing. As such, it comes in four versions (continuous/discrete, infinite/fi...
Jelena Kovacevic, Markus Püschel
CORR
2006
Springer
145views Education» more  CORR 2006»
13 years 6 months ago
Algebraic Signal Processing Theory
In [1], we presented the algebraic signal processing theory, an axiomatic and general framework for linear signal processing. The basic concept in this theory is the signal model d...
Markus Püschel, José M. F. Moura
TSP
2008
180views more  TSP 2008»
13 years 6 months ago
Algebraic Signal Processing Theory: Foundation and 1-D Time
This paper introduces a general and axiomatic approach to linear signal processing (SP) that we refer to as the algebraic signal processing theory (ASP). Basic to ASP is the linear...
Markus Püschel, José M. F. Moura
SIP
2001
13 years 7 months ago
A contribution to advanced theory of discrete signals and systems
The paper presents basic concepts of the discrete system theory from the viewpoint of Banach algebras and shows that some Banach algebras of sequences are not only suitable mathem...
Eduard Krajnik