|
C. E. Shannon, "A mathematical theory of communication," Bell System Technical Journal, vol. 27, pp. 379-423, 1948.
R. G. Gallager. Low-Density Parity-Check Codes. IRE Trans. Inform. Theory, pp. 21-28, Jan. 1962.
R. G. Gallager. Low-Density Parity-Check Codes. MIT Press, Cambridge, MA, 1963.
M. R. Tanner, "A recursive approach to low complexity codes," IEEE Trans. Inform. Theory, vol. 27, pp. 533-547, 1981.
J. Pearl, Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. Morgan Kaufmann Publishers, Inc., 1988.
T. M. Cover and J. A. Thomas, Elements of Information Theory. New York: Wiley, 1991.
D. MacKay and R. Neal, "Good codes based on very sparse matrices," in Cryptography and Coding, 5thIMA Conf., C. Boyd, Ed., Lecture Notes in Computer Science, pp. 100-111, Berlin, Germany: Springer, 1995.
M. Luby, M. Mitzenmacher, and A. Shokrollahi, " Analysis of random processes via and-or tree evaluation," in Proceedings of the 9th Annual ACM-SIAM Symposium on discrete Algorithms, pp. 364-373, 1998.
Michael G. Luby, Michael Mitzenmacher, M. Amin Shokrollahi, Daniel A. Spielman. "Analysis of low-density parity-check codes and improved designs using irregular graphs." 30th ACM STOC, May 23-26 1998.
V. Sorokine, F. R. Kschischang, and S. Pasupathy, " Gallager codes for CDMA applications: Part I}," IEEE Trans. Comm, pp. 1660-1668, Oct. 2000.
V. Sorokine, F. R. Kschischang, and S. Pasupathy," Gallager codes for CDMA applications: Part II}," IEEE Trans. Comm, pp. 1818-1828, Nov. 2000.
Michael G. Luby, Michael Mitzenmacher, M. Amin Shokrollahi, and Daniel A. Spielman. "Improved low-density parity-check codes using irregular graphs," IEEE Trans. Inform. Theory, vol. 47, pp. 585-598, Feb. 2001.
N. Wiberg, Codes and decoding on general graphs ," Ph.D. dissertation, Dept. Elec. Eng., Univ. Linkoping, Sweden, Apr. 1996.
T. Richardson and R. Urbanke, "The capacity of low-density parity-check codes under message-passing decoding}," IEEE Trans. Inform. Theory}, vol. 47, pp. 599-618, Feb. 2001.
T. Richardson, A. Shokrollahi, and R. Urbanke, "Design of capacity approaching low-density parity-check codes}," IEEE Trans. Inform. Theory, vol. 47, pp. 619-637, Feb. 2001.
T. Richardson, R. Urbanke, "Efficient encoding of low-density parity-check codes," IEEE Trans. Inform. Theory, vol. 47, pp. 638-656, Feb. 2001.
S.-Y. Chung, D. Forney, T. Richardson, and R. Urbanke, "On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit," IEEE Commun. Letter., vol. 5, pp.58-60, Feb. 2001.
|