Distribution of max-log metrics for QAM-based BICM in fading channels

Authors:
Leszek Szczecinski;Alex Alvarado;Rodolfo Feick
Affiliations:
Institut National de la Recherche Scientifique, EMT, Montreal, Canada;Department of Signals and Systems, Communication Systems Group, Chalmers University of Technology, Gothenburg, Sweden;Department of Electronics Engineering, Universidad Técnica Federico Santa María, Valparaíso, Chile
Venue:
IEEE Transactions on Communications
Year:
2009

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Abstract

In this letter we derive closed-form expressions for the probability density functions (PDFs) of the bits' reliability metrics (L-values) in bit-interleaved coded modulation (BICM) transmission over fully-interleaved fading channels. The expressions are valid for the relevant case of quadrature amplitude modulation (QAM) with Gray mapping when the metrics are calculated via the so-called max-log approximation. Using the developed expressions, the performance of coded BICM transmissions is efficiently evaluated, i.e., without resorting to otherwise required two-dimensional numerical integration. The BICM capacity for different fading channels and constellation sizes is also evaluated.