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arXiv · 0811.2201

Fast Maximum-Likelihood Decoding of the Golden Code

Mohanned O. Sinnokrot·John R. Barry
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Abstract

The golden code is a full-rate full-diversity space-time code for two transmit antennas that has a maximal coding gain. Because each codeword conveys four information symbols from an M-ary quadrature-amplitude modulation alphabet, the complexity of an exhaustive search decoder is proportional to M^2. In this paper we present a new fast algorithm for maximum-likelihood decoding of the golden code that has a worst-case complexity of only O(2M^2.5). We also present an efficient implementation of the fast decoder that exhibits a low average complexity. Finally, in contrast to the overlaid Alamouti codes, which lose their fast decodability property on time-varying channels, we show that the golden code is fast decodable on both quasistatic and rapid time-varying channels.

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Mohanned O. Sinnokrot, John R. Barry. 2008-11-13. Fast Maximum-Likelihood Decoding of the Golden Code. https://arxiv.org/abs/0811.2201

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