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High-Rate Full-Rank Space-Time Block Codes from Cayley Algebra

Kiran, T and Rajan, Sundar B (2004) High-Rate Full-Rank Space-Time Block Codes from Cayley Algebra. In: International Conference on Signal Processing and Communications: SPCOM '04, 11-14 December, Bangalore, India, pp. 481-485.

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Abstract

For a quasi-static, multiple-input multiple-output (MIMO)Rayleigh fading channel, high-rate space-time block codes(STBCs) with full-diversity have been constructed in [I] for arbitrary number of transmit antennas, by using the regular matrix representation of an associative division algebra. While the 2 x 2 as well as 4 x 4 real-orthogonal design (ROD) [2] and Alamouti code [3] were obtained as a special case of this construction, the 8 x 8 ROD could not be obtained. In this paper, starting with a non-associative division algebra (Cayley algebra or morc popularly known as octonion algebra) over an arbitrary characteristic zer field F, a method of embedding this algebra into the ring of matrices ovcr F is descrihcd, and high-rate full-rank STBCs for 8m (m, an arbitrary integer)antennas are obtained. We also give a closed form expression for the coding gain of these STBCs. This embedding when specialized to F = R and m = I, gives the 8 x 8 ROD.

Item Type: Conference Paper
Additional Information: Copyright 2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 22 Aug 2008
Last Modified: 19 Sep 2010 04:35
URI: http://eprints.iisc.ernet.in/id/eprint/9986

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