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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Series: | EURASIP Journal on Advances in Signal Processing |
Online Access: | http://dx.doi.org/10.1155/ASP/2006/85685 |
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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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