On binary code design for the non-coherent block fading channel
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abstract
We study the binary code design problem for the fading channel with non-coherent maximum-likelihood detection. The -spectrum (i.e. all possible pairwise absolute cross-correlations) provides a way to define the optimal codes, based on the union bound on the error probability, as the codes achieving the optimal -spectrum for some code rate. We introduce some limited search methods based on the -spectrum, including a nested search, which for some code rates yields optimal codes. With our nested search, good codes were obtained easily up to code rate 12/n, n 4096. The codes developed offer good performance in the fading channel and can be used in place of the Hadamard-Walsh codes in synchronous CDMA systems to increase system capacity.
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GLOBECOM '03. IEEE Global Telecommunications Conference (IEEE Cat. No.03CH37489)