High order statistics used in identification of non-Gaussian processes by means of linear prediction models
DOI:
https://doi.org/10.3103/S073527270607003XAbstract
The paper proposes methods of using high order statistics for obtaining attributes in the problem of identification of non-Gaussian processes. Application of a set of generalized lattice filters, whose parameters are calculated from moment functions of the third and fourth orders, is shown to raise the probability of correct identification.References
KISELYOV, N.V. Methods of Building the Recognition Systems and Classification of Non-Gaussian Signals [in Russian]. Leningrad: Izd-vo Leningradskogo Un-ta, 1986.
FOMIN, Y.A.; TARLOVSKII, G.R. Statistical Theory of Image Recognition [in Russian]. Moscow: Radio i Svyaz’, 1986.
RABINER, L.R.; SCHAFER, R.W. Digital Processing of Speech Signals. Prentice-Hall, 1978.
RABINER, L.R.; LEVINSON, S.E. "Isolated and connected word recognition — theory and selected applications," IEEE Trans. Commun., v.29, n.5, p.621-659, 1981. DOI: http://dx.doi.org/10.1109/TCOM.1981.1095031.
LEE, W. Methods of Automatic Voice Recognition. Moscow: Mir, 1983 [Russian translation].
TIKHONOV, V.A. "Obobshchennaia model avtoregressii negaussovykh protcessov," Radiotekhnika, n.132, p.78-82, 2003.
BEZRUK, V.M.; GOLIKOV, V.S.; TIKHONOV, V.A. "Recognition of random signals described by autoregression model," Radioelectron. Commun. Syst., v.47, n.4, p.45-49, 2004. DOI: http://radioelektronika.org/article/view/S0735272704040090.
MARPLE Jr., S.L. Digital Spectral Analysis with Applications. Prentice-Hall, 1987.
BOX, G.E.P.; JENKINS, G.M. Time Series Analysis: Forecasting and Control. Holden-Day, 1976.
TIKHONOV, V.I. Statistical Radio Engineering [in Russian]. Moscow, Sov. Radio, 1966.
COWAN, C.F.N. GRANT, P.M. (eds.). Adaptive Filters. Englewood Cliffs, N.J.: Prentice-Hall, 1985.
MALAKHOV, A.N. Cumulant Analysis of Random Non-Gaussian Processes and Their Transforms [in Russian]. Moscow: Sov. Radio, 1978.
TIKHONOV V.A.; NETREBENKO, K.V. "Parametric estimation of the third-order spectra of the mixture of a non-Gaussian signal and Gaussian correlated interference," Radioelectron. Commun. Syst., v.48, n.2, p.24-29, 2005. URI: http://radioelektronika.org/article/view/S0735272705020044.