Evaluating and optimizing error-correcting codes using...

Error detection/correction and fault detection/recovery – Pulse or data error handling – Testing of error-check system

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C714S790000, C714S794000, C714S804000

Reexamination Certificate

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06842872

ABSTRACT:
A method evaluates and optimizes an error-correcting code to be transmitted through a noisy channel and to be decoded by an iterative message-passing decoder. The error-correcting code is represented by a parity check matrix which is modeled as a bipartite graph having variable nodes and check nodes. A set of message passing rules is provided for the decoder. The decoder is analyzed to obtain a set of density evolution rules including operators and operands which are then transformed to projective operators and projected operands to generate a set of projective message passing rules. The projective message passing rules are applied iteratively to the error-correcting code modeled by the bipartite graph until a termination condition is reached. Error rates of selected bits of the error-correcting code are then determined by evaluating the corresponding operands. The error rates can be passed to an optimizer to optimize the error-correcting code.

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Chung et al., Feb. 2001, IEEE Transactions on Information Theory, vol. 47, No. 2, “Analysis of Sum-Product Decoding of Low-Density Parity-Check Codes Using a Gaussian Approximation”, pp 657-670.*
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Li Jing, Jun. 11-14, 2001, Proceedings of International Conference on Communications, vol. 7, “On the Performance of Turbo Product Codes over Partial-Response Channels”, pp2176-2183.

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