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Full-Diversity STBCs for Block-Fading Channels from Cyclic Codes

Sripati, U. and Rajan, Sundar B and Shashidhar, V (2004) Full-Diversity STBCs for Block-Fading Channels from Cyclic Codes. In: GLOBECOM '04. IEEE Global Telecommunications Conference, 29 November-3 December, Dallas,Texas, Vol.1, 566 -570.


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Viewing an n-length vector over $F_{q^m}$ (the finite field of $q^m$ elements) as an ${m}\times{n}$ matrix over $F_q$, by expanding each entry of the vector with respect to a basis of $F_{q^m}$ over $F_q$, the rank weight of the n-length vector over $F_{q^m}$ is the rank of the corresponding ${m}\times{n}$ matrix over $F_q$. Using the appropriate discrete Fourier transform (DFT), it is known that, under some conditions, n-length cyclic codes over $F_{q^m}$, $(n|q^m{-1}\hspace{5 mm}and\hspace{5 mm}{m}\leq{n})$, have full-rank $(=m)$. Using this result, we obtain designs for full-diversity space time block codes (STBCs) suitable for block-fading channels from $n$ length cyclic codes over $F_{q^m}$. These STBCs are suitable for $m$ transmit antennas over signal sets matched to $F_q$, where $q=2$ or $q$ is a prime of the form $4k+1$, $(k=1, 2, ...)$. We also present simulation results which illustrate the performance of a few of these STBCs and show that our codes perform better than the well known codes for block-fading channels.

Item Type: Conference Paper
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Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 08 Dec 2005
Last Modified: 19 Sep 2010 04:21
URI: http://eprints.iisc.ernet.in/id/eprint/4340

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