Large girth cycle codes for partial response channels

Author

Song, Hongwei ; Liu, Jingfeng ; Kumar, B. V K Vijaya

Author_Institution

Agere Syst. Inc., Longmont, CO, USA

Volume

40

Issue

4

fYear

2004

fDate

7/1/2004 12:00:00 AM

Firstpage

3084

Lastpage

3086

Abstract

In this paper, we present a general approach for constructing high-rate cycle codes having girth 12 which achieve the lower bound on the block length. An efficient encoding algorithm is also proposed for this class of codes. We estimate the word error rate of the cycle codes for additive white Gaussian noise (AWGN) channels under maximum likelihood decoding, using the minimum distance and its multiplicity. These estimates are compared to simulation results with iterative soft decoding. The performance of these codes for partial response channels is studied under iterative soft decoding using computer simulations.

Keywords

AWGN channels; cyclic codes; error statistics; iterative decoding; maximum likelihood decoding; parity check codes; partial response channels; block length; computer simulation; encoding algorithm; high-rate cycle codes; iterative soft decoding; large girth cycle codes; low-density parity check code; maximum likelihood decoding; partial response channels; white Gaussian noise channels; word error rate; AWGN; Additive white noise; Computer simulation; Error analysis; Iterative algorithms; Iterative decoding; Magnetic recording; Maximum likelihood decoding; Parity check codes; Partial response channels; Cycle code; LDPC; code; iterative soft decoding; low-density parity check; partial response channel;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2004.829197

Filename

1325740