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Lower Bounds on the Minimum Pseudodistance for Linear Codes with q-ary PSK Modulation over AWGN

2008/03/26 by Vitaly Skachek, Skachek, Vitaly, Mark F. Flanagan +1
Computer Science · Engineering · Mathematics · #Advanced Wireless Communication Techniques #Cooperative Communication and Network Coding #Error Correcting Code Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.0803.3777

6 pages, Proceedings 5-th International Symposium on Turbo Codes & related topics

openalex publication_date 2008/03/26 · arxiv created 2008/06/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present lower bounds on the minimum pseudocodeword effective Euclidean distance (or minimum "pseudodistance") for coded modulation systems using linear codes with q-ary phase-shift keying (PSK) modulation over the additive white Gaussian noise (AWGN) channel. These bounds apply to both binary and nonbinary coded modulation systems which use direct modulation mapping of coded symbols. The minimum pseudodistance may serve as a first-order measure of error-correcting performance for both linear-programming and message-passing based receivers. In the case of a linear-programming based receiver, the minimum pseudodistance may be used to form an exact bound on the codeword error rate of the system.

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