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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Xiaojie Zhang Siegel, P.H. |
| Copyright Year | 2011 |
| Description | Author affiliation: University of California, San Diego, La Jolla, 92093, USA (Xiaojie Zhang; Siegel, P.H.) |
| Abstract | Linear programming (LP) decoding approximates optimal maximum-likelihood (ML) decoding of a linear block code by relaxing the equivalent ML integer programming (IP) problem into a more easily solved LP problem. The LP problem is defined by a set of linear inequalities derived from the constraints represented by the rows of a parity-check matrix of the code. Adaptive linear programming (ALP) decoding significantly reduces the complexity of LP decoding by iteratively and adaptively adding necessary constraints in a sequence of smaller LP problems. Adaptive introduction of constraints derived from certain additional redundant parity check (RPC) constraints can further improve ALP performance. In this paper, we propose a new and effective algorithm to identify RPCs that produce linear constraints, referred to as “cuts,” that can eliminate non-ML solutions generated by the ALP decoder, often significantly improving the decoder error-rate performance. The cut-finding algorithm is based upon a specific transformation of an initial parity-check matrix of the linear block code. Simulation results for several low-density parity-check codes demonstrate that the modified ALP decoding algorithm significantly narrows the performance gap between LP decoding and ML decoding. |
| Starting Page | 1638 |
| Ending Page | 1642 |
| File Size | 376690 |
| Page Count | 5 |
| File Format | |
| ISBN | 9781457705960 |
| ISSN | 21578117 |
| e-ISBN | 9781457705953 |
| e-ISBN | 9781457705946 |
| DOI | 10.1109/ISIT.2011.6033822 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2011-07-31 |
| Publisher Place | Russia |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Iterative decoding Maximum likelihood decoding Linear programming Linear matrix inequalities Linear code |
| Content Type | Text |
| Resource Type | Article |
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