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Research paper thumbnail of Low-floor decoders for LDPC codes

IEEE Transactions on Communications, 2009

One of the most significant impediments to the use of LDPC codes in many communication and storag... more One of the most significant impediments to the use of LDPC codes in many communication and storage systems is the error-rate floor phenomenon associated with their iterative decoders. The error floor has been attributed to certain sub-graphs of an LDPC code's Tanner graph induced by so-called trapping sets. We show in this paper that once we identify the trapping sets of an LDPC code of interest, a sum-product algorithm (SPA) decoder can be custom-designed to yield floors that are orders of magnitude lower than the conventional SPA decoder. We present two classes of such decoders: a bi-mode syndrome-erasure decoder and three generalized-LDPC decoders. We demonstrate the effectiveness of these decoders for two codes, the rate-1/2 (2640,1320) Margulis code which is notorious for its floors and a rate-0.3 (640,192) quasi-cyclic code which has been devised for this study.

Research paper thumbnail of Low-floor decoders for LDPC codes

IEEE Transactions on Communications, 2009

One of the most significant impediments to the use of LDPC codes in many communication and storag... more One of the most significant impediments to the use of LDPC codes in many communication and storage systems is the error-rate floor phenomenon associated with their iterative decoders. The error floor has been attributed to certain sub-graphs of an LDPC code's Tanner graph induced by so-called trapping sets. We show in this paper that once we identify the trapping sets of an LDPC code of interest, a sum-product algorithm (SPA) decoder can be custom-designed to yield floors that are orders of magnitude lower than the conventional SPA decoder. We present two classes of such decoders: a bi-mode syndrome-erasure decoder and three generalized-LDPC decoders. We demonstrate the effectiveness of these decoders for two codes, the rate-1/2 (2640,1320) Margulis code which is notorious for its floors and a rate-0.3 (640,192) quasi-cyclic code which has been devised for this study.

Research paper thumbnail of Low-floor decoders for LDPC codes

IEEE Transactions on Communications, 2009

One of the most significant impediments to the use of LDPC codes in many communication and storag... more One of the most significant impediments to the use of LDPC codes in many communication and storage systems is the error-rate floor phenomenon associated with their iterative decoders. The error floor has been attributed to certain sub-graphs of an LDPC code's Tanner graph induced by so-called trapping sets. We show in this paper that once we identify the trapping sets of an LDPC code of interest, a sum-product algorithm (SPA) decoder can be custom-designed to yield floors that are orders of magnitude lower than the conventional SPA decoder. We present two classes of such decoders: a bi-mode syndrome-erasure decoder and three generalized-LDPC decoders. We demonstrate the effectiveness of these decoders for two codes, the rate-1/2 (2640,1320) Margulis code which is notorious for its floors and a rate-0.3 (640,192) quasi-cyclic code which has been devised for this study.

Research paper thumbnail of Low-floor decoders for LDPC codes

IEEE Transactions on Communications, 2009

One of the most significant impediments to the use of LDPC codes in many communication and storag... more One of the most significant impediments to the use of LDPC codes in many communication and storage systems is the error-rate floor phenomenon associated with their iterative decoders. The error floor has been attributed to certain sub-graphs of an LDPC code's Tanner graph induced by so-called trapping sets. We show in this paper that once we identify the trapping sets of an LDPC code of interest, a sum-product algorithm (SPA) decoder can be custom-designed to yield floors that are orders of magnitude lower than the conventional SPA decoder. We present two classes of such decoders: a bi-mode syndrome-erasure decoder and three generalized-LDPC decoders. We demonstrate the effectiveness of these decoders for two codes, the rate-1/2 (2640,1320) Margulis code which is notorious for its floors and a rate-0.3 (640,192) quasi-cyclic code which has been devised for this study.

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