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High Throughput Probabilistic Shaping with Product Distribution Matching

2017/02/24 by Georg Böcherer, Böcherer, Georg, Patrick Schulte +3 · 27 citations
Computer Science · Engineering · Mathematics · #Advanced Optical Network Technologies #Channel (broadcasting) #Computer science #Digital subscriber line #Electronic engineering #Engineering #Error Correcting Code Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #Key (lock) #Matching (statistics) #Mathematics #Multiplexing #Optical Network Technologies #Orthogonal frequency-division multiplexing #Physics #Power (physics) #Probabilistic logic #Product (mathematics) #Spectral efficiency #Telecommunications #Throughput #Wireless #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1702.07510

published in arXiv (Cornell University) (Cornell University) · Including 7 diagrams and 5 figures with simulation results

arxiv created 2017/02/24 · openalex publication_date 2017/02/24 · arxiv updated 2017/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Product distribution matching (PDM) is proposed to generate target distributions over large alphabets by combining the output of several parallel distribution matchers (DMs) with smaller output alphabets. The parallel architecture of PDM enables low-complexity and high-throughput implementation. PDM is used as a shaping device for probabilistic amplitude shaping (PAS). For 64-ASK and a spectral efficiency of 4.5 bits per channel use (bpcu), PDM is as power efficient as a single full-fledged DM. It is shown how PDM enables PAS for parallel channels present in multi-carrier systems like digital subscriber line (DSL) and orthogonal frequency-division multiplexing (OFDM). The key feature is that PDM shares the DMs for lower bit-levels among different sub-carriers, which improves the power efficiency significantly. A representative parallel channel example shows that PAS with PDM is 0.93 dB more power efficient than conventional uniform signaling and PDM is 0.35 dB more power efficient than individual per channel DMs.

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