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arXiv · 1902.10648

Probabilistic Parity Shaping for Linear Codes

Georg Böcherer·Diego Lentner·Alessandro Cirino·Fabian Steiner
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Abstract

Linear layered probabilistic shaping (LLPS) is proposed, an architecture for linear codes to efficiently encode to shaped code words. In the previously proposed probabilistic amplitude shaping (PAS) architecture, a distribution matcher (DM) maps information bits to shaped bits, which are then systematically encoded by appending uniformly distributed parity bits. LLPS extends PAS by probabilistic parity shaping (PPS), which uses a syndrome DM to calculate shaped parity bits. LLPS enables the transmission with any desired distribution using linear codes, furthermore, by LLPS, a given linear code with rate $R_\text{fec}$ can be operated at any rate $R\leq R_\text{fec}$ by changing the distribution. LLPS is used with an LDPC code for dirty paper coding against an interfering BPSK signal, improving the energy efficiency by 0.8 dB.

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Georg Böcherer, Diego Lentner, Alessandro Cirino, Fabian Steiner. 2019-02-27. Probabilistic Parity Shaping for Linear Codes. https://arxiv.org/abs/1902.10648

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