The Finite Heisenberg-Weyl Groups in Radar and Communications

<p/> <p>We investigate the theory of the finite Heisenberg-Weyl group in relation to the development of adaptive radar and to the construction of spreading sequences and error-correcting codes in communications. We contend that this group can form the basis for the representation of the...

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Main Authors: Calderbank AR, Moran W, Howard SD
Format: Article
Language:English
Published: SpringerOpen 2006-01-01
Series:EURASIP Journal on Advances in Signal Processing
Online Access:http://dx.doi.org/10.1155/ASP/2006/85685
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spelling doaj-10d13e6df3954301af3f572c371ffebc2020-11-25T01:29:38ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61721687-61802006-01-0120061085685The Finite Heisenberg-Weyl Groups in Radar and CommunicationsCalderbank ARMoran WHoward SD<p/> <p>We investigate the theory of the finite Heisenberg-Weyl group in relation to the development of adaptive radar and to the construction of spreading sequences and error-correcting codes in communications. We contend that this group can form the basis for the representation of the radar environment in terms of operators on the space of waveforms. We also demonstrate, following recent developments in the theory of error-correcting codes, that the finite Heisenberg-Weyl groups provide a unified basis for the construction of useful waveforms/sequences for radar, communications, and the theory of error-correcting codes.</p> http://dx.doi.org/10.1155/ASP/2006/85685
collection DOAJ
language English
format Article
sources DOAJ
author Calderbank AR
Moran W
Howard SD
spellingShingle Calderbank AR
Moran W
Howard SD
The Finite Heisenberg-Weyl Groups in Radar and Communications
EURASIP Journal on Advances in Signal Processing
author_facet Calderbank AR
Moran W
Howard SD
author_sort Calderbank AR
title The Finite Heisenberg-Weyl Groups in Radar and Communications
title_short The Finite Heisenberg-Weyl Groups in Radar and Communications
title_full The Finite Heisenberg-Weyl Groups in Radar and Communications
title_fullStr The Finite Heisenberg-Weyl Groups in Radar and Communications
title_full_unstemmed The Finite Heisenberg-Weyl Groups in Radar and Communications
title_sort finite heisenberg-weyl groups in radar and communications
publisher SpringerOpen
series EURASIP Journal on Advances in Signal Processing
issn 1687-6172
1687-6180
publishDate 2006-01-01
description <p/> <p>We investigate the theory of the finite Heisenberg-Weyl group in relation to the development of adaptive radar and to the construction of spreading sequences and error-correcting codes in communications. We contend that this group can form the basis for the representation of the radar environment in terms of operators on the space of waveforms. We also demonstrate, following recent developments in the theory of error-correcting codes, that the finite Heisenberg-Weyl groups provide a unified basis for the construction of useful waveforms/sequences for radar, communications, and the theory of error-correcting codes.</p>
url http://dx.doi.org/10.1155/ASP/2006/85685
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