NDLI: The stability of LDPC codes with higher order modulation schemes

Content Provider	IEEE Xplore Digital Library
Author	Ganepola, V.S. Carrasco, R.A. Wassell, I.J. Le-Goff, S.
Copyright Year	2010
Description	Author affiliation: Computer Laboratory, William Gates Building, University of Cambridge, 15 JJ Thompson Avenue, CB3 0FD, UK (Wassell, I.J.) \|\| School of Electrical Electronics and Computer Engineering, Newcastle University, Newcastle Upon Tyne, United Kingdom NE1 7RU (Ganepola, V.S.; Carrasco, R.A.; Le-Goff, S.)
Abstract	In this paper, we derive stability conditions for low-density-parity-check (LDPC) codes with Gray mapped M-ary phase-shift keying (M-PSK) and M-ary quadrate-amplitude-modulation (M-QAM) constellations. The stability of the LDPC decoder with higher order modulation schemes is examined on both additive-white-Gaussian-noise (AWGN) and block Rayleigh fading channels and threshold stability conditions under iterative decoding are obtained using density evolution techniques. It is shown that both on block Rayleigh fading channel when the ideal channel state information (CSI) of the fading process is known, and on AWGN channel, the stability condition of the underlying code is bounded by the Bhattacharya noise parameter. We show that the derived stability condition is both sufficient and necessary condition for iterative belief propagation decoding assuming cycle free massage passing between variable and check nodes. The evolution of stability condition is assessed as the modulation order is increased for both M-PSK and M-QAM constellations. This study provides an analytical framework to evaluate the performance bounds of LDPC coded systems that extend over higher order modulation schemes.
Starting Page	195
Ending Page	200
File Size	798354
Page Count	6
File Format	PDF
ISBN	9781424488582
e-ISBN	9781861353696
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-07-21
Publisher Place	United Kingdom
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fading AWGN density evolution Low-density-parity-check codes block fading Stability analysis quadrature amplitude modulation quasi-static fading Rayleigh fading quadrature phase shift keying Demodulation
Content Type	Text
Resource Type	Article

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