ICA over finite fields - Separability and algorithms

Harold W. Gutch; Peter Gruber; Arie Yeredor; Fabian J. Theis

doi:10.1016/j.sigpro.2011.10.003

ICA over finite fields - Separability and algorithms

Harold W. Gutch, Peter Gruber, Arie Yeredor, Fabian J. Theis

Chair of Mathematical Modelling of Biological Systems

Research output: Contribution to journal › Article › peer-review

35 Scopus citations

Abstract

We transfer the ICA model to the case where the underlying field is not the set of reals but an arbitrary finite field. We give conditions for separability of the model, pointing out existing parallels to the real case. Three algorithms capable of solving the task are suggested and we demonstrate their viability through simulations and a possible application of the model.

Original language	English
Pages (from-to)	1796-1808
Number of pages	13
Journal	Signal Processing
Volume	92
Issue number	8
DOIs	https://doi.org/10.1016/j.sigpro.2011.10.003
State	Published - Aug 2012

Keywords

Finite field
Galois field
ICA
Tomlinson

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10.1016/j.sigpro.2011.10.003

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title = "ICA over finite fields - Separability and algorithms",

abstract = "We transfer the ICA model to the case where the underlying field is not the set of reals but an arbitrary finite field. We give conditions for separability of the model, pointing out existing parallels to the real case. Three algorithms capable of solving the task are suggested and we demonstrate their viability through simulations and a possible application of the model.",

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AU - Gutch, Harold W.

AU - Gruber, Peter

AU - Yeredor, Arie

AU - Theis, Fabian J.

PY - 2012/8

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N2 - We transfer the ICA model to the case where the underlying field is not the set of reals but an arbitrary finite field. We give conditions for separability of the model, pointing out existing parallels to the real case. Three algorithms capable of solving the task are suggested and we demonstrate their viability through simulations and a possible application of the model.

AB - We transfer the ICA model to the case where the underlying field is not the set of reals but an arbitrary finite field. We give conditions for separability of the model, pointing out existing parallels to the real case. Three algorithms capable of solving the task are suggested and we demonstrate their viability through simulations and a possible application of the model.

KW - Finite field

KW - Galois field

KW - ICA

KW - Tomlinson

UR - http://www.scopus.com/inward/record.url?scp=84858070224&partnerID=8YFLogxK

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DO - 10.1016/j.sigpro.2011.10.003

M3 - Article

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VL - 92

SP - 1796

EP - 1808

JO - Signal Processing

JF - Signal Processing

IS - 8

ER -

ICA over finite fields - Separability and algorithms

Abstract

Keywords

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