DOI
10.34229/KCA2522-9664.26.4.16
UDC 621.391
P. Kostenko
Ivan Kozhedub Kharkiv National Air Force University, Kharkiv, Ukraine,
kpyu@ukr.net
M. Alonkyn
Ivan Kozhedub Kharkiv National Air Force University, Kharkiv, Ukraine,
winneeeeerr@gmail.com
DELAY RESOLUTION OF A NON-PARAMETRIC METHOD
FOR PROCESSING WIDEBAND SIGNALS
UNDER MULTIPLICATIVE NOISE
Abstract. The paper presents an investigation of non-parametric SG statistics as an objective function for estimating the probability of delay-based resolution of wideband pulsed signals distorted by multiplicative noise. It is assumed that no a priori information about the probability density function of the multiplicative noise is available. The noise is modeled as a random process with independent and identically distributed (IID) random variables. The problem of delay measurement and resolution of signals distorted by multiplicative noise is addressed. A nonparametric approach to solving this problem is based on the use of an objective function constructed from SG statistics. A comparative analysis of the proposed signal measurement and resolution method with the maximum likelihood method is performed. Dependencies of the estimated signal resolution probability obtained using nonparametric SG-statistics are presented for different values of delay separation and signal-to-noise ratio. The results of statistical simulation of the signal measurement and resolution problem show that, in contrast to the maximum likelihood method, the SG statistics-based approach provides effective signal resolution in the absence of a priori information about the noise distribution density. Recommendations for selecting simulation parameters of the nonparametric signal measurement and resolution algorithm based on SG statistics are provided. The Kullback–Leibler information measure is used as a diagnostic indicator of the correctness of the proposed method, since it shares a common conceptual foundation with SG statistics. The correctness of the proposed method is demonstrated by cross-validation.
Keywords: SG statistics, multiplicative noise, objective function, resolution, PSK signal, IID.
full text
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