Spatial Block Codes Based on Unitary Transformations Derived from Orthonormal Polynomial Sets

<p/> <p>Recent work in the development of diversity transformations for wireless systems has produced a theoretical framework for space-time block codes. Such codes are beneficial in that they may be easily concatenated with interleaved <inline-formula><graphic file="1687-6...

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Main Author: Mandyam Giridhar D
Format: Article
Language:English
Published: SpringerOpen 2002-01-01
Series:EURASIP Journal on Advances in Signal Processing
Subjects:
Online Access:http://dx.doi.org/10.1155/S1110865702000860
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author Mandyam Giridhar D
author_facet Mandyam Giridhar D
author_sort Mandyam Giridhar D
collection DOAJ
description <p/> <p>Recent work in the development of diversity transformations for wireless systems has produced a theoretical framework for space-time block codes. Such codes are beneficial in that they may be easily concatenated with interleaved <inline-formula><graphic file="1687-6180-2002-214845-i1.gif"/></inline-formula> trellis codes and yet still may be decoded separately. In this paper, a theoretical framework is provided for the generation of spatial block codes of arbitrary dimensionality through the use of orthonormal polynomial sets. While these codes cannot maximize theoretical diversity performance for given dimensionality, they still provide performance improvements over the single-antenna case. In particular, their application to closed-loop transmit diversity systems is proposed, as the bandwidth necessary for feedback using these types of codes is fixed regardless of the number of antennas used. Simulation data is provided demonstrating these types of codes&#8242; performance under this implementation as compared not only to the single-antenna case but also to the two-antenna code derived from the Radon-Hurwitz construction.</p>
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spelling doaj.art-1c967bb3cb77411497d8dcdfea31bb712022-12-22T03:57:17ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61721687-61802002-01-0120028214845Spatial Block Codes Based on Unitary Transformations Derived from Orthonormal Polynomial SetsMandyam Giridhar D<p/> <p>Recent work in the development of diversity transformations for wireless systems has produced a theoretical framework for space-time block codes. Such codes are beneficial in that they may be easily concatenated with interleaved <inline-formula><graphic file="1687-6180-2002-214845-i1.gif"/></inline-formula> trellis codes and yet still may be decoded separately. In this paper, a theoretical framework is provided for the generation of spatial block codes of arbitrary dimensionality through the use of orthonormal polynomial sets. While these codes cannot maximize theoretical diversity performance for given dimensionality, they still provide performance improvements over the single-antenna case. In particular, their application to closed-loop transmit diversity systems is proposed, as the bandwidth necessary for feedback using these types of codes is fixed regardless of the number of antennas used. Simulation data is provided demonstrating these types of codes&#8242; performance under this implementation as compared not only to the single-antenna case but also to the two-antenna code derived from the Radon-Hurwitz construction.</p>http://dx.doi.org/10.1155/S1110865702000860spatial block codesclosed-loop transmit diversityspace-time codes
spellingShingle Mandyam Giridhar D
Spatial Block Codes Based on Unitary Transformations Derived from Orthonormal Polynomial Sets
EURASIP Journal on Advances in Signal Processing
spatial block codes
closed-loop transmit diversity
space-time codes
title Spatial Block Codes Based on Unitary Transformations Derived from Orthonormal Polynomial Sets
title_full Spatial Block Codes Based on Unitary Transformations Derived from Orthonormal Polynomial Sets
title_fullStr Spatial Block Codes Based on Unitary Transformations Derived from Orthonormal Polynomial Sets
title_full_unstemmed Spatial Block Codes Based on Unitary Transformations Derived from Orthonormal Polynomial Sets
title_short Spatial Block Codes Based on Unitary Transformations Derived from Orthonormal Polynomial Sets
title_sort spatial block codes based on unitary transformations derived from orthonormal polynomial sets
topic spatial block codes
closed-loop transmit diversity
space-time codes
url http://dx.doi.org/10.1155/S1110865702000860
work_keys_str_mv AT mandyamgiridhard spatialblockcodesbasedonunitarytransformationsderivedfromorthonormalpolynomialsets