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Scalable and Channel-Adaptive Unequal Error Protection of Images with LDPC Codes

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Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4179))

Abstract

This paper considers the design of an optimal joint source-channel coding system employing scalable wavelet-based source coders and unequal error protection for error-resilient transmission over binary erasure channels. We theoretically show that the expected average rate-distortion function in the separately encoded subbands is convex with monotonically decreasing slopes and use this fact to propose a new algorithm which minimizes the end-to-end distortion. This algorithm is based on a simplified Viterbi-search followed by Lagrangian-optimization. We show that our proposed solution results in significant complexity reductions while providing very near-to-optimal performance.

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References

  1. Shapiro, J.M.: Embedded Image Coding Using Zerotrees of Wavelet Coefficients. Transactions on Signal Processing 41(12), 3445–3462 (1993)

    Article  MATH  Google Scholar 

  2. Said, A., Pearlman, A.W.: A New Fast and Efficient Image Codec Based on Set Partitioning in Hierarchical Trees. IEEE Transactions on Circuits and Systems for Video Technology 6, 243–250 (1996)

    Article  Google Scholar 

  3. Munteanu, A., Cornelis, J., Van der Auwera, G., Cristea, P.: Wavelet Image Compression - the Quadtree Coding Approach  3(3), 176–185 (1999)

    Google Scholar 

  4. Berrou, C., Glavieux, A., Thitimajshima, P.: Near shannon limit error-correcting coding and decoding: Turbo codes. In: Proceedings of IEEE International Conference on Communications, Geneva, Switzerland, vol. 2, pp. 1064–1070 (1993)

    Google Scholar 

  5. Gallager, R.: Low-Density Parity-Check Codes. Massachusetts Institute of Technology, PhD thesis (1963)

    Google Scholar 

  6. MacKay, D., Neal, R.: Good Codes based on Very Sparse Matrices. LNCS, pp. 100–111. Springer, Heidelberg (1995)

    Google Scholar 

  7. Jin, H., Khandekar, A., McEliece, R.: Irregular Repeat Accumulate Codes. In: Proceedings of 2nd International Symposium on Turbo codes and Related Topics, Brest, France, pp. 1–8 (2000)

    Google Scholar 

  8. Luby, M.: LT- codes. In: Proceedings of 43rd Annual IEEE Symposium on the Foundations of Computer Science (STOC), pp. 271–280 (2002)

    Google Scholar 

  9. Shokrollahi, A.: Raptor codes. In: Proceedings of IEEE International Symposium on Information Theory (2003)

    Google Scholar 

  10. Shannon, C.E.: A mathematical theory of communication. Bell System Technical Journal 27, 379–423 (1948)

    MATH  MathSciNet  Google Scholar 

  11. Massey, J.L.: Joint Source and Channel Coding in Communication Systems and Random Process Theory. In: Sijthoff, Noordhoff (eds.) Alphen aan den Rijn, The Netherlands, pp. 279–293 (1978)

    Google Scholar 

  12. Albanese, A., Blömer, J., Edmonds, J., Luby, M., Sudhan, M.: Priority Encoding Transmission. IEEE Transactions on Information Theory 42(6), 1737–1744 (1996)

    Article  MATH  Google Scholar 

  13. Wu, Z., Jandhyala, R., Ali, B., Marcellin, M.W.: Joint Source/Channel Coding for Multiple Video Sequences With JPEG 2000. IEEE Transactions on Image Processing 14(8), 1020–1032 (2005)

    Article  MathSciNet  Google Scholar 

  14. Banister, B.A., Belzer, B., Fischer, T.R.: Robust image transmission using JPEG 2000 and turbo-codes. IEEE Signal Processing Letters 9, 117–119 (2002)

    Article  Google Scholar 

  15. Hamzaoui, R., Stankovic, V., Xiong, Z.: Fast algorithm for distortion-based error protection of embedded image codes. IEEE Transactions on Image Processing 14, 1417–1421 (2005)

    Article  Google Scholar 

  16. Stankovic, V., Hamzaoui, R., Saupe, D.: Fast algorithm for rate-based optimal error protection of embedded codes. IEEE Transactions on Communications 51, 1788–1795 (2003)

    Article  Google Scholar 

  17. Thie, J., Taubman, D.S.: Optimal Protection Assignment for Scalable Compressed Images. In: Proceedings of ICIP, pp. 713–716 (2002)

    Google Scholar 

  18. Hamzaoui, R., Stankovic, V., Xiong, Z.: Optimized Error Protection of Scalable Image Bit Streams. IEEE Signal Processing Magazine 22, 91–107 (2005)

    Article  Google Scholar 

  19. Zwillinger, D.: Standard Mathematical Tables and Formulae, 30th edn. CRC, Boca Raton (1996)

    MATH  Google Scholar 

  20. Munteanu, A.: Wavelet Image Coding and Multiscale Edge Detection. Department of Electronics and Information Processing, Vrije Universiteit Brussel, Brussel, PhD Thesis (2003)

    Google Scholar 

  21. Lin, S., Costello, D.: Error Control Coding: Fundamentals and Applications, 2nd edn. Prentice-Hall, New Jersey (2004)

    Google Scholar 

  22. Hu, X.-Y., Eleftheriou, E., Arnold, D.-M.: Regular and irregular progressive edge-growth tanner graphs. IEEE Transactions on Information Theory 51(1), 386–398 (2005)

    Article  MathSciNet  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Munteanu, A., Stoufs, M.R., Cornelis, J., Schelkens, P. (2006). Scalable and Channel-Adaptive Unequal Error Protection of Images with LDPC Codes. In: Blanc-Talon, J., Philips, W., Popescu, D., Scheunders, P. (eds) Advanced Concepts for Intelligent Vision Systems. ACIVS 2006. Lecture Notes in Computer Science, vol 4179. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11864349_66

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  • DOI: https://doi.org/10.1007/11864349_66

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44630-9

  • Online ISBN: 978-3-540-44632-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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