High-rate full-rank space-time block codes from cayley algebra

Kiran, T. ; Sundar Rajan, B. (2004) High-rate full-rank space-time block codes from cayley algebra In: 2004 International Conference on Signal Processing and Communications, 2004. SPCOM '04, 11-14 Dec. 2004, Bangalore, India.

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Official URL: http://ieeexplore.ieee.org/document/1458506/

Related URL: http://dx.doi.org/10.1109/SPCOM.2004.1458506


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 B. A. Sethuraman et al., (2003) for arbitrary number of transmit antennas, by using the regular matrix representation of an associative division algebra. While the 2/spl times/2 as well as 4/spl times/4 Real-orthogonal Design (ROD) V. Tarokh et al., (1999) and Alamouti code S. M. Alamouti (1998) were obtained as a special case of this construction, the 8/spl times/8 ROD could not be obtained. In this paper, starting with a non-associative division algebra (Cayley algebra or more popularly known as octonion algebra) over an arbitrary characteristic zero field F, a method of embedding this algebra into the ring of matrices over F is described, 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 = /spl Ropf/ and m = 1, gives the 8/spl times/8 ROD.

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Deposited On:08 Dec 2017 10:31
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