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CORR
2007
Springer
194views Education» more  CORR 2007»
13 years 5 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
2008
180views more  TSP 2008»
13 years 5 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 6 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
ALGORITHMICA
2002
121views more  ALGORITHMICA 2002»
13 years 5 months ago
Sharp Quantum versus Classical Query Complexity Separations
We obtain the strongest separation between quantum and classical query complexity known to date--specifically, we define a black-box problem that requires exponentially many querie...
J. Niel de Beaudrap, Richard Cleve, John Watrous
TSP
2008
154views more  TSP 2008»
13 years 4 months ago
Algebraic Signal Processing Theory: 1-D Space
In our paper titled "Algebraic Signal Processing Theory: Foundation and 1-D Time" appearing in this issue of the IEEE TRANSACTIONS ON SIGNAL PROCESSING, we presented the ...
Markus Püschel, José M. F. Moura