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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Wei Yu Ardakani, M. Smith, B. Kschischang, F. |
| Copyright Year | 2005 |
| Description | Author affiliation: Dept. of Electr. & Comput. Eng., Toronto Univ., Ont. (Wei Yu; Ardakani, M.; Smith, B.; Kschischang, F.) |
| Abstract | The complexity-rate tradeoff for error-correcting codes below the Shannon limit is a central question in coding theory. This paper makes progress in this area by presenting a joint numerical optimization of rate and decoding complexity for low-density parity-check codes. The focus of this paper is on the binary symmetric channel and on a class of decoding algorithms for which an exact extrinsic information transfer (EXIT) chart analysis is possible. This class of decoding algorithms includes the Gallager decoding algorithm B. The main feature of the optimization method is a complexity measure based on the EXIT chart that accurately estimates the number of iterations required for the decoding algorithm to reach a target error rate. Under a fixed check-degree distribution, it is shown that the proposed complexity measure is a convex function of the variable-degree distribution in a region of interest. This allows us to numerically characterize the complexity-rate tradeoff. We show that for the Gallager B decoding algorithm on binary symmetric channels, the optimization procedure can produce complexity savings of 30-40% as compared to the conventional code design method |
| Starting Page | 1488 |
| Ending Page | 1492 |
| File Size | 285327 |
| Page Count | 5 |
| File Format | |
| ISBN | 0780391519 |
| DOI | 10.1109/ISIT.2005.1523591 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2005-09-04 |
| Publisher Place | Australia |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Parity check codes Iterative decoding Information analysis Design optimization Algorithm design and analysis Design methodology Shape measurement Error correction codes Optimization methods Error analysis |
| Content Type | Text |
| Resource Type | Article |
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