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ON THE STATISTICAL EXPONENTIATION METHOD IN CUMULANT ANALYSIS OF QUASIDETERMINISTIC SIGNALS

A. T. GAVRILIN

Radiophysics Department, N. Lobachevsky State University, Gagarin ave., 23, 603600 Nizhniy Novgorod, Russia

https://doi.org/10.1142/S0218127408021981Cited by:0 (Source: Crossref)

Abstract

In this article we derive rough formulas for the probability distribution functions of sampled higher-order spectra of poly-harmonic signals corrupted by Gaussian noise. These formulas provide a basis for analyzing the performance detection algorithms for finite-sample length.

Keywords:

References

J. Aitchison and J. A. Brown , The Log-Normal Distribution ( Univ. Press , Cambridge , 1957 ) . Google Scholar
Bochkov, G. N., Gorohov, K. V. & Markov, G. A. Bulletin "Inventions in Russia", 27.11.1997. No. 33 . Google Scholar
A. N. Malakhov , Cumulant Analysis of Random Non-Gaussian Processes and Their Transformations ( Sovetskoe Radio , Moscow , 1978 ) . Google Scholar
C. L. Nikias and M. R. Raghuveer, Proc. IEEE 75, 869 (1987), DOI: 10.1109/PROC.1987.13824. Crossref, Web of Science, Google Scholar
C. L. Nikias and J. M. Mendel, IEEE Sign. Process. Mag. 10, 10 (1993), DOI: 10.1109/79.221324. Crossref, Web of Science, Google Scholar
C. L. Nikias and A. P. Petropulu , Higher-Order Spectral Analysis: A Nonlinear Signal Processing Framework ( Prentice-Hall Inc. , 1993 ) . Crossref, Google Scholar
A. A. Pervozvanski , Course in Automatic Control Theory ( Nauka , Moscow , 1986 ) . Google Scholar
J. B. Roberts and P. D. Spanos , Random Vibration and Statistical Linearization ( Dover Publ. , NY , 1990 ) . Google Scholar
A. A. Sveshnikov , Applied Theoretical Methods of Random Processes ( Nauka , Moscow , 1968 ) . Google Scholar
A. Swami, G. B. Giannakis and G. Zhou, Sign. Process. 60, 65 (1997), DOI: 10.1016/S0165-1684(97)00065-0. Crossref, Web of Science, Google Scholar