Title
On the Total Power Capacity of Regular-LDPC Codes With Iterative Message-Passing Decoders
Abstract
Motivated by recently derived fundamental limits on total (transmit + decoding) power for coded communication with VLSI decoders, this paper investigates the scaling behavior of the minimum total power needed to communicate over AWGN channels as the target bit-error-probability tends to zero. We focus on regular-LDPC codes and iterative message-passing decoders. We analyze scaling behavior under two VLSI complexity models of decoding. One model abstracts power consumed in processing elements (node model), and another abstracts power consumed in wires which connect the processing elements (wire model). We prove that a coding strategy using regular-LDPC codes with Gallager-B decoding achieves order-optimal scaling of total power under the node model. However, we also prove that regular-LDPC codes and iterative message-passing decoders cannot meet existing fundamental limits on total power under the wire model. Furthermore, if the transmit energy-per-bit is bounded, total power grows at a rate that is worse than uncoded transmission. Complementing our theoretical results, we develop detailed physical models of decoding implementations using post-layout circuit simulations. Our theoretical and numerical results show that approaching fundamental limits on total power requires increasing the complexity of both the code design and the corresponding decoding algorithm as communication distance is increased or error-probability is lowered.
Year
DOI
Venue
2016
10.1109/JSAC.2015.2504276
IEEE Journal on Selected Areas in Communications
Keywords
Field
DocType
Decoding,Iterative decoding,Integrated circuit modeling,Very large scale integration,Wires,Complexity theory
Concatenated error correction code,Sequential decoding,Berlekamp–Welch algorithm,Computer science,Low-density parity-check code,Parallel computing,Real-time computing,Decoding methods,List decoding,Very-large-scale integration,Computer engineering,Message passing
Journal
Volume
Issue
ISSN
34
2
0733-8716
Citations 
PageRank 
References 
3
0.41
38
Authors
4
Name
Order
Citations
PageRank
Karthik Ganesan11289.41
Pulkit Grover255765.99
Jan M. Rabaey347961049.96
Andrea J. Goldsmith4149921685.67