In the algebraic theory of linear signal processing, a set of filters is treated as an algebra and a set of signals is treated as a module and the zâ€¦Â (More)

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2012

2012

- Aliaksei Sandryhaila, Jelena Kovacevic, Markus PÃ¼schel
- IEEE Transactions on Signal Processing
- 2012

We present a signal processing framework for the analysis of discrete signals represented as linear combinations of orthogonalâ€¦Â (More)

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2011

2011

- Aliaksei Sandryhaila, Jelena Kovacevic, Markus PÃ¼schel
- SIAM J. Matrix Analysis Applications
- 2011

A polynomial transform is the multiplication of an input vector x âˆˆ C by a matrix Pb;Î± âˆˆ CnÃ—n; whose Ã°k;lÃžth element is definedâ€¦Â (More)

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2010

2010

Traditional linear signal processing is based on viewing signals as sequences or functions in time that flow in one directionâ€¦Â (More)

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2009

2009

- Yevgen Voronenko, Markus PÃ¼schel
- IEEE Transactions on Signal Processing
- 2009

In this paper, we systematically derive a large class of fast general-radix algorithms for various types of real discrete Fourierâ€¦Â (More)

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2008

2008

- Markus PÃ¼schel, JosÃ© M. F. Moura
- IEEE Transactions on Signal Processing
- 2008

In our paper titled ldquoalgebraic signal processing theory: foundation and 1-D Timerdquo appearing in this issue of the IEEEâ€¦Â (More)

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Highly Cited

2008

Highly Cited

2008

- Markus PÃ¼schel, JosÃ© M. F. Moura
- IEEE Transactions on Signal Processing
- 2008

This paper introduces a general and axiomatic approach to linear signal processing (SP) that we refer to as the algebraic signalâ€¦Â (More)

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2008

2008

- Markus PÃ¼schel, JosÃ© M. F. Moura
- IEEE Transactions on Signal Processing
- 2008

This paper presents a systematic methodology to derive and classify fast algorithms for linear transforms. The approach is basedâ€¦Â (More)

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2007

2007

- Markus PÃ¼schel, Martin RÃ¶tteler
- IEEE Transactions on Image Processing
- 2007

We develop the framework for signal processing on a spatial, or undirected, 2-D hexagonal lattice for both an infinite and aâ€¦Â (More)

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2006

2006

- Markus PÃ¼schel, JosÃ© M. F. Moura
- ArXiv
- 2006

This paper presents an algebraic theory of linear signal processing. At the core of algebraic signal processing is the concept ofâ€¦Â (More)

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Review

2006

Review

2006

- Markus Puschel
- 2006 IEEE 12th Digital Signal Processing Workshopâ€¦
- 2006

We give an overview of the algebraic signal processing theory, a recently proposed generalization of linear signal processing (SPâ€¦Â (More)

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