UZH-Logo

LDPC codes over rings for PSK modulation


Sridhara, D; Fuja, T (2005). LDPC codes over rings for PSK modulation. IEEE Transactions on Information Theory, 51(9):3209-3220.

Abstract

This paper describes the design and analysis of low-density parity-check (LDPC) codes over rings and shows how these codes, when mapped onto appropriate signal constellations, can be used to effect bandwidth-efficient modulation. Specifically, LDPC codes are constructed over the integer rings Zm and G2m and mapped onto phase-shift keying (PSK)-type signal sets to yield geometrically uniform signal space codes. This paper identifies and addresses the design issues that affect code performance. Examples of codes over Z8 and G64 mapped onto 8-ary and 64-ary signal sets at a spectral efficiency of 1.5 and 2.0 bits per second per hertz (b/s/Hz) illustrate the approach; simulation of these codes over the additive white Gaussian noise (AWGN) channel demonstrates that this approach is a good alternative to bandwidth-efficient techniques based on binary LDPC codes—e.g., bit-interleaved coded modulation.

This paper describes the design and analysis of low-density parity-check (LDPC) codes over rings and shows how these codes, when mapped onto appropriate signal constellations, can be used to effect bandwidth-efficient modulation. Specifically, LDPC codes are constructed over the integer rings Zm and G2m and mapped onto phase-shift keying (PSK)-type signal sets to yield geometrically uniform signal space codes. This paper identifies and addresses the design issues that affect code performance. Examples of codes over Z8 and G64 mapped onto 8-ary and 64-ary signal sets at a spectral efficiency of 1.5 and 2.0 bits per second per hertz (b/s/Hz) illustrate the approach; simulation of these codes over the additive white Gaussian noise (AWGN) channel demonstrates that this approach is a good alternative to bandwidth-efficient techniques based on binary LDPC codes—e.g., bit-interleaved coded modulation.

Citations

28 citations in Web of Science®
28 citations in Scopus®
Google Scholar™

Altmetrics

Downloads

112 downloads since deposited on 29 Nov 2010
8 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Belief-propagation decoding , coded modulation , low-density parity-check (LDPC) codes
Language:English
Date:2005
Deposited On:29 Nov 2010 16:26
Last Modified:05 Apr 2016 13:24
Publisher:IEEE
ISSN:0018-9448
Publisher DOI:10.1109/TIT.2005.853330
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2239147
Permanent URL: http://doi.org/10.5167/uzh-21748

Download

[img]
Preview
Content: Accepted Version
Filetype: PDF
Size: 234kB
View at publisher

TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.

Author Collaborations