By Tom Richardson, Rüdiger Urbanke (auth.), Brian Marcus, Joachim Rosenthal (eds.)
Coding idea, procedure thought, and symbolic dynamics have a lot in universal. one of the crucial topics in every one of those topics are the development of country area representations, realizing of primary structural homes of series areas, development of input/output structures, and realizing the precise position performed via algebraic constitution. an enormous new subject during this quarter of study is that of codes and structures according to graphical models.
This quantity comprises survey and study articles from top researchers on the interface of those subjects.
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Additional info for Codes, Systems, and Graphical Models
No. 1025 in Lecture Notes in Computer Science, Springer, Berlin, 1995, pp. 100-111.  LD. MARSLAND AND P. MATHIOUPOULOS, Multiple differential detection of parallel concatenated convolutional (turbo) codes in correlated fast rayleigh fading, IEEE Journal of Selected Areas in Communications, 16 (1998), pp. 265-275.  R. McELIECE, E. -F. CHENG, The turbo decision algorithm, in Proceedings of the 33rd Allerton Conference on Communication, Control, and Computing, Monticello, IL, 1995.  R.
The condition X(O)p'(l) < 1/8, first discussed in , can be seen as a stability condition of the fixed point x =0. Such a stability condition can be given in a much more general setting and it plays an important role in the theory of iterative coding systems. As we have seen it leads to an upper bound on the threshold of an interative coding system. , the stability condition determines the threshold of cycle codes for the BSC exactly . The stability condition can also be interpreted in an alternative way.
A first draft of this paper was circulated in October 1999 to about a dozen people interested in these research issues. This generated an interesting 'Internet discussion' on these issues, in which the different opinions were exchanged bye-mail. Some of these ideas have been incorporated into the final version of the paper and the author would like to thank Dave Forney, Paul Fuhrmann, Heide Gluesing-Luerssen, Jan Willems and Sandro Zampieri for having provided valuable thoughts. The author wishes also to thank the IMA and its superb staff, who made the above mentioned workshop possible.