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Structured Dispersion Matrices From Division Algebra Codes for Space-Time Shift Keying

Structured Dispersion Matrices From Division Algebra Codes for Space-Time Shift Keying
Structured Dispersion Matrices From Division Algebra Codes for Space-Time Shift Keying
We propose a novel method of constructing Dispersion Matrices (DM) for Coherent Space-Time Shift Keying (CSTSK) relying on arbitrary PSK signal sets by exploiting codes from division algebras. We show that classic codes from Cyclic Division Algebras (CDA) may be interpreted as DMs conceived for PSK signal sets. Hence various benefits of CDA codes such as their ability to achieve full diversity are inherited by CSTSK. We demonstrate that the proposed CDA based DMs are capable of achieving a lower symbol error ratio than the existing DMs generated using the capacity as their optimization objective function for both perfect and imperfect channel estimation.
Rajashekar, Rakshith
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Hari, K. V. S.
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Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
Rajashekar, Rakshith
b6bfc273-4ed6-4cd7-8e3c-31d15549dfc0
Hari, K. V. S.
93c59427-eaf1-49f6-8943-d465d6366d43
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1

Rajashekar, Rakshith, Hari, K. V. S. and Hanzo, Lajos (2013) Structured Dispersion Matrices From Division Algebra Codes for Space-Time Shift Keying. IEEE Signal Processing Letters.

Record type: Article

Abstract

We propose a novel method of constructing Dispersion Matrices (DM) for Coherent Space-Time Shift Keying (CSTSK) relying on arbitrary PSK signal sets by exploiting codes from division algebras. We show that classic codes from Cyclic Division Algebras (CDA) may be interpreted as DMs conceived for PSK signal sets. Hence various benefits of CDA codes such as their ability to achieve full diversity are inherited by CSTSK. We demonstrate that the proposed CDA based DMs are capable of achieving a lower symbol error ratio than the existing DMs generated using the capacity as their optimization objective function for both perfect and imperfect channel estimation.

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Published date: 2013
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 349364
URI: http://eprints.soton.ac.uk/id/eprint/349364
PURE UUID: 0a14b202-4cd1-43e7-9128-3ea937c94cd7
ORCID for Lajos Hanzo: ORCID iD orcid.org/0000-0002-2636-5214

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Date deposited: 28 Feb 2013 17:14
Last modified: 18 Mar 2024 02:35

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Contributors

Author: Rakshith Rajashekar
Author: K. V. S. Hari
Author: Lajos Hanzo ORCID iD

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