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Applications of Adaptive Belief Propagation Decoding for Long Reed-Solomon Codes

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Advances in Computer Science and Information Technology (AST 2010, ACN 2010)

Abstract

Reed-Solomon (204,188) code has been widely used in many digital multimedia broadcasting systems. This paper focuses on the low complexity derivation of adaptive belief propagation bit-level soft decision decoding for this code. Simulation results demonstrate that proposed normalized min-sum algorithm as belief propagation (BP) process provides the same decoding performance in terms of packet-error-rate as sum-product algorithm. An outer adaptation scheme by moving adaptation process of parity check matrix out of the BP iteration loop is also introduced to reduce decoding complexity. Simulation results show that the proposed two schemes perform a good trade-off between the decoding performance and decoding complexity.

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References

  1. Reed, I.S., Solomon, G.: Polynomial Codes over Certain Finite Fields. Journal of Society for Industrial and Applied Mathematics 8(2), 300–304 (1960)

    Article  MATH  MathSciNet  Google Scholar 

  2. ETSI TS 102 427 V1.1.1: Digital Audio Broadcasting (DAB); Data Broadcasting – MPEG-2 TS Streaming (2005)

    Google Scholar 

  3. ETSI EN 300 429 V1.2.1: Digital Video Broadcasting (DVB); Framing structure, Channel Coding and Modulation for Cable Systems (1998)

    Google Scholar 

  4. ETSI EN 300 744 V1.5.1: Digital Video Broadcasting (DVB); Framing Structure, Channel Coding, and Modulation for Digital Terrestrial Television (2004)

    Google Scholar 

  5. ISDB-T: Terrestrial Television Digital Broadcasting Transmission. ARIB STD-B31 (1998)

    Google Scholar 

  6. Berlekamp, E.R.: Algebraic Coding Theory. McGraw-Hill, New York (1960)

    Google Scholar 

  7. Jiang, J., Narayanan, K.R.: Iterative Soft-Input-Soft-Output Decoding of Reed-Solomon Codes by Adapting the Parity Check Matrix. IEEE Transaction on Information Theory 52(8), 3746–3756 (2006)

    Article  MathSciNet  Google Scholar 

  8. Lin, S., Costello, D.J.: Error Control Coding: Fundamentals and Applications. Prentice Hall, New Jersey (1983)

    Google Scholar 

  9. Kschischang, F.R., Frey, B.J., Loeliger, H.-A.: Factor Graphs and the Sum-product Algorithm. IEEE Transactions on Information Theory 47(2), 498–519 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  10. Chen, J.H., Dholakia, A., Eleftheriou, E., Fossorier, M.P.C., Hu, X.Y.: Reduced-Complexity Decoding of LDPC Codes. IEEE Transactions on Communications 53(8), 1288–1299 (2005)

    Article  Google Scholar 

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Zheng, Z., Pham, D.H., Wada, T. (2010). Applications of Adaptive Belief Propagation Decoding for Long Reed-Solomon Codes. In: Kim, Th., Adeli, H. (eds) Advances in Computer Science and Information Technology. AST ACN 2010 2010. Lecture Notes in Computer Science, vol 6059. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13577-4_13

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  • DOI: https://doi.org/10.1007/978-3-642-13577-4_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13576-7

  • Online ISBN: 978-3-642-13577-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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