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Divergence-Optimal Fixed-to-Fixed Length Distribution Matching With Shell Mapping

2018/03/09 by Patrick Schulte, Schulte, Patrick, Fabian Steiner +1 · 3 citations
Computer Science · Engineering · Mathematics · #Advanced Wireless Communication Techniques #Error Correcting Code Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #Optical Network Technologies #Wireless Signal Modulation Classification #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1803.03614

accepted for IEEE Wireless Communication Letters

openalex publication_date 2018/03/09 · arxiv created 2018/12/13 · arxiv updated 2018/12/14 · openalex created_date 2022/08/08 · openalex updated_date 2026/07/28

Abstract

Distribution matching (DM) transforms independent and Bernoulli(1/2) distributed bits into a sequence of output symbols with a desired distribution. A fixed-to-fixed length, invertible DM architecture based on shell mapping is presented. It is shown that shell mapping for distribution matching (SMDM) is the optimum DM for the informational divergence metric and that finding energy optimal sequences is a special case of divergence minimization. Additionally, it is shown how to find the required shell mapping weight function to approximate arbitrary output distributions. SMDM is combined with probabilistic amplitude shaping (PAS) to operate close to the Shannon limit. SMDM exhibits excellent performance for short blocklengths as required by ultra-reliable low-latency (URLLC) applications. SMDM outperforms constant composition DM (CCDM) by 0.6 dB when used with 64-QAM at a spectral efficiency of 3 bits/channel use and a 5G low-density parity-check code with a short blocklength of 192 bits

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