Analysis of Symbol Message Passing LDPC Decoder for the Poisson PPM Channel

A simple decoding algorithm, dubbed symbol message passing decoder, is studied for q-ary low-density parity-check codes over the q-ary Poisson pulse-position modulation channel. The messages in the decoder are symbols from the finite field {\mathbb{F}_q}. To improve performance, a second decoder wit...

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Bibliographic Details
Main Authors: Yacoub, Emna Ben, Matuz, Balazs
Format: Conference Proceeding
Language:English
Subjects:
Complexity theory
Decoding
Message passing
Modulation
Parity check codes
Switched mode power supplies
Symbols
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Summary:A simple decoding algorithm, dubbed symbol message passing decoder, is studied for q-ary low-density parity-check codes over the q-ary Poisson pulse-position modulation channel. The messages in the decoder are symbols from the finite field {\mathbb{F}_q}. To improve performance, a second decoder with an extended message set \left\{ {{\text{E}} \cup {\mathbb{F}_q}} \right\} is also investigated, where E denotes an erasure. Thresholds within 1.3 dB from the Shannon limit are obtained for low field orders.
ISSN:2157-8117
DOI:10.1109/ISIT50566.2022.9834496