Abstract
A method of the estimation of the parameters of a variable length Markov chain based on the use of Fisher’s exact test is proposed. The method has been applied to the problem of classification of convolutionally coded binary signals. Computer simulation has shown that the constructed models have a considerably smaller number of parameters as compared to the models based on the Kullbak-Leibler criterion, which is very popular in constructing variable-order Markov models.
Similar content being viewed by others
References
V. I. Romanovskii, Discrete Markov Chains (Gostekhteorizdat, Moscow, 1949) [in Russian].
L. Rabiner, Proc. IEEE 77, 257 (1989).
P. Bühlmann and A. J. Wyner, Ann. Stat. 27, 480 (1999).
P. Bühlmann, Ann. Inst. Stat. Math. 52, 287 (2000).
M. Mächler and P. Bühlmann, J. Comput. Graph. Stat. 13, 435 (2004).
K. A. Brownlee, Statistical Theory and Methodology in Science and Engineering (Wiley, New York, 1965; Nauka, Moscow, 1977).
M. G. Kendall and A. Stuart, The Advanced Theory of Statistics (Griffin, London, 1969; Nauka, Moscow, 1973).
V. V. Yanshin, Dokl. Akad. Nauk SSSR 318, 1108 (1991).
V. V. Yanshin, Radiotekh. Elektron. (Moscow) 38, 1081 (1993).
GSM 05.03: Digital Cellular Telecommunications System (Phase 2+) Channel Coding ETSI EN 300 909 (European Telecommunications Standards Inst. (ETSI), Sophia-Antipolice, 2000).
V. S. Pugachev, Probability Theory and Mathematical Statistics (Fizmatlit, Moscow, 2002) [in Russian].
Additional information
Original Russian Text © E A. Kon’kov, E.A. Soldatov, 2011, published in Radiotekhnika i Elektronika, 2011, Vol. 56, No. 9, pp. 1107–1113.
Rights and permissions
About this article
Cite this article
Kon’kov, E.A., Soldatov, E.A. Method of the estimation of the parameters of a variable length Markov chain based on Fisher’s exact test. J. Commun. Technol. Electron. 56, 1105–1110 (2011). https://doi.org/10.1134/S1064226911090051
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064226911090051