Block code design based on metric-spectrum
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abstract
In the transmission of information through communication channels, it is common to encode the information, in other words to add redundancy to the information, so as to receive reliably the transmitted information at the receiver. It is common to measure the performance by the upper-bound on the codeword error probability (union bound), which is the sum of pairwise error-probabilities. The pairwise codeword error probability is a function of some metric, which can be used for the code design, and usually it's similar to the maximum likelihood function. We call the possible values of the pairwise metric, along with the corresponding frequencies of appearance, metric-spectrum. In this paper we generalize our previous work and present a generic block code design based on a metric-spectrum. That is, based on the communication system and the metric dominating its pairwise error probability, we employ various code search methods to come up with good codes for the corresponding communication problem. Besides generalizing the design methodology we present also new good complex codes for the AWGN channel as well the coherent Rayleigh fading channel, based on existing and new Unitary matrices. 2004 IEEE.
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IEEE Global Telecommunications Conference, 2004. GLOBECOM '04.