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ANALYSIS AND IMPLEMENTATION OF SOFT-DECISION DECODING ALGORITHM OF LDPC

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Author(s): M. M. Jadhav, Ankit Pancholi, Dr. A. M. Sapkal

Journal: International Journal of Engineering Trends and Technology
ISSN 2231-5381

Volume: 4;
Issue: 6;
Start page: 2380;
Date: 2013;
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Keywords: Bit error rate | Belief propagation decoding | C6713 and BSC channel

ABSTRACT
Low-density parity-check (LDPC) codes are freeware codes designed by Gallager in the year 1993 and used in most of the CDMA technology. An approach to study and analyze a mathematical model of belief propagation algorithm for decoding the encoding data stream with block size of 4096 using a binary symmetric channel to achieve good error probability of 10-6 is simulated with 60 iterations. Due to large size of the matrix, the conventional block encoding method could require a significant number of computations. The algorithm will be implemented using an hardware platform of TMS320C6713 DSP processor based on the VLIW architecture with clock rate of 225MHz, well suited for arithmetic & logical calculations. A simulated algorithm adopts iterative approach with a code rate of one half where decoder operates alternatively on the bit nodes and the check nodes to find the most likely codeword giving a good error performance between 10-4and 10-5 that is acceptable for video streaming on the internet. The experimental results shows that the dynamic range in computations is quite large resulting in numerical stability and intensive multiplication in the algorithm poses a challenge for implementation.
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