Hierarchical Distribution Matching for Probabilistically Shaped Coded Modulation
Journal article, 2019

The implementation difficulties of combining distribution matching (DM) and dematching (invDM) for probabilistic shaping (PS) with soft-decision forward error correction (FEC) coding can be relaxed by reverse concatenation, for which the FEC coding and decoding lies inside the shaping algorithms. PS can seemingly achieve performance close to the Shannon limit, although there are practical implementation challenges that need to be carefully addressed. We propose a hierarchical DM (HiDM) scheme, having fully parallelized input-output interfaces and a pipelined architecture that can efficiently perform the DM/invDM without the complex operations of previously proposed methods such as constant composition DM. Furthermore, HiDM can operate at a significantly larger post-FEC bit error rate (BER) for the same post-invDM BER performance, which facilitates simulations. These benefits come at the cost of a slightly larger rate loss and required signal-to-noise ratio at a given post-FEC BER.

Bit error rate

block error rate

probabilistic shaping

implementation

distribution matching

reverse concatenation

modulation

optical fiber communication

forward error correction

Author

Tsuyoshi Yoshida

Mitsubishi Electric Corporation

Osaka University

Magnus Karlsson

Chalmers, Microtechnology and Nanoscience (MC2), Photonics

Erik Agrell

Chalmers, Electrical Engineering, Communication, Antennas and Optical Networks

Journal of Lightwave Technology

0733-8724 (ISSN) 1558-2213 (eISSN)

Vol. 37 6 1579-1589 8625520

Signal shaping in optical communications—Beyond the Gaussian channel

Swedish Research Council (VR) (2017-03702), 2018-01-01 -- 2021-12-31.

Subject Categories

Telecommunications

Other Physics Topics

Communication Systems

Signal Processing

DOI

10.1109/JLT.2019.2895065

More information

Latest update

4/6/2022 8