Title
Multiset-Partition Distribution Matching
Abstract
Distribution matching is a fixed-length invertible mapping from a uniformly distributed bit sequence to shaped amplitudes and plays an important role in the probabilistic amplitude shaping framework. With conventional constant-composition distribution matching (CCDM), all output sequences have identical composition. In this paper, we propose multiset-partition distribution matching (MPDM), where the composition is constant over all output sequences. When considering the desired distribution as a multiset, MPDM corresponds to partitioning this multiset into equal-sized subsets. We show that MPDM allows addressing more output sequences and, thus, has a lower rate loss than CCDM in all nontrivial cases. By imposing some constraints on the partitioning, a constructive MPDM algorithm is proposed which comprises two parts. A variable-length prefix of the binary data word determines the composition to be used, and the remainder of the input word is mapped with a conventional CCDM algorithm, such as arithmetic coding, according to the chosen composition. Simulations of 64-ary quadrature amplitude modulation over the additive white Gaussian noise channel demonstrate that the block-length saving of MPDM over CCDM for a fixed gap to capacity is approximately a factor of 2.5–5 at medium to high signal-to-noise ratios.
Year
DOI
Venue
2019
10.1109/TCOMM.2018.2881091
IEEE Transactions on Communications
Keywords
DocType
Volume
Forward error correction,Encoding,Probabilistic logic,Modulation,Partitioning algorithms,Signal to noise ratio,Distributed databases
Journal
67
Issue
ISSN
Citations 
3
0090-6778
3
PageRank 
References 
Authors
0.43
0
5
Name
Order
Citations
PageRank
Tobias Fehenberger1528.59
David S. Millar297.73
Toshiaki Koike-Akino361067.09
Keisuke Kojima41613.05
Kieran Parsons53813.60