Jin, Hui and McEliece, Robert J. (2002) Coding theorems for turbo code ensembles. IEEE Transactions on Information Theory, 48 (6). pp. 1451-1461. ISSN 0018-9448. doi:10.1109/TIT.2002.1003833. https://resolver.caltech.edu/CaltechAUTHORS:JINieeetit02
![]()
|
PDF
- Published Version
See Usage Policy. 461kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:JINieeetit02
Abstract
This paper is devoted to a Shannon-theoretic study of turbo codes. We prove that ensembles of parallel and serial turbo codes are "good" in the following sense. For a turbo code ensemble defined by a fixed set of component codes (subject only to mild necessary restrictions), there exists a positive number γ0 such that for any binary-input memoryless channel whose Bhattacharyya noise parameter is less than γ0, the average maximum-likelihood (ML) decoder block error probability approaches zero, at least as fast as n -β, where β is the "interleaver gain" exponent defined by Benedetto et al. in 1996.
Item Type: | Article | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Related URLs: |
| ||||||||||
Additional Information: | © 2006 IEEE. Reprinted with permission. Manuscript received April 17, 2001; revised September 17, 2001. [Posted online: 2002-08-07] This work was supported by the NSF under Grant CCR-9804793, and under grants from Sony, Qualcomm, and Caltech’s Lee Center for Advanced Networking. The authors would like to thank Dariush Divsalar, who did the density evolution analysis for the R = 1/3 CCDSD code, and Rüdiger Urbanke for assuring us that the bounds in Appendix A indeed follow from the results in [21]. | ||||||||||
Funders: |
| ||||||||||
Subject Keywords: | Bhattacharyya parameter, coding theorems, maximum-likelihood decoding (MLD), turbo codes, union bound | ||||||||||
Issue or Number: | 6 | ||||||||||
DOI: | 10.1109/TIT.2002.1003833 | ||||||||||
Record Number: | CaltechAUTHORS:JINieeetit02 | ||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:JINieeetit02 | ||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||
ID Code: | 1816 | ||||||||||
Collection: | CaltechAUTHORS | ||||||||||
Deposited By: | Archive Administrator | ||||||||||
Deposited On: | 19 Feb 2006 | ||||||||||
Last Modified: | 08 Nov 2021 19:42 |
Repository Staff Only: item control page