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This paper presents a flexible decoder architecture which supports twelve combinations of code lengths-576, 1152, 1728, 2304 bits and code rates-1/2, 2/3, 3/4 for block-serial irregular LDPC codes based on the IEEE 802.16e standard . Approximate-Min Scheme is used to increase memory efficiency during message processing. At least 68.4% extrinsic message memory is saved and this reduction increases with the code rate. A prototype of the LDPC decoder has been implemented and tested on an Ateral FPGA.