"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 4, 2019

contents of issue      DOI  10.30898/1684-1719.2019.4.4     full text in Russian (pdf)  

UDC 621.391.372.019

Quasi-optimal demodulation of the mixture narrow-band signal and additive non-Gaussian noise with band-limited spectrum


V. M. Artyushenko 1, V. I. Volovach 2

1 Technological University, 42, Gagarin Street, Korolev 141070, Russia

2 Volga Region State University of Service, 4, Gagarin Street, Togliatti 445017, Russia


The paper is received on March 28, 2019


Abstract. The problems of quasi-optimal processing of a mixture of signals and correlated additive non-Gaussian noise with a band-limited spectrum are considered. It is shown that for practically significant cases the effect of non-Gaussian noise on the signal with probability density function envelopes (amplitudes) different from the rice distribution is of interest. In this case, the width of the spectrum of such noise may be wider than the band of the useful signal, comparable to it or more narrow-band. It is noted that elliptically symmetric two-dimensional probability density distributions are used to describe non-Gaussian noise in this case. The method of synthesis of demodulation algorithms of continuous Markov information sequence on the background of non-Gaussian noise, which is a Markov process, is used in the work. The demodulation algorithm determining the formation of the optimal evaluation of the information process and the evolution of a posteriori dispersion is obtained for this case. Expressions describing the characteristics of the transformation of the acting non-Gaussian noise in a nonlinear transducer with given amplitude characteristic, acting as nonlinear amplitude filter and the corresponding demodulation algorithm are obtained. Received is the enlarged structural diagram of algorithm implementation assessing the demodulated (filtered) of the data sequence. The functioning of the scheme for different time sampling intervals and correlation coefficients of the information process and additive noise is described, on the basis of which the modified single-channel block diagrams of information process processing are presented. It is shown that the use in the block diagram of the demodulator of nonlinear blocks with simultaneous processing of the instantaneous values and the envelope of non-Gaussian noise with a comparable or narrower spectrum than the spectrum of the processed useful signal, can significantly improve the quality of demodulation in comparison with the demodulator with processing only the instantaneous value or only the envelope of the additive strip non-Gaussian noise.

Key words: quasi-optimal demodulation of signal, narrowband signal, a correlated additive non-Gaussian noise, noise with band-limited spectrum, elliptically symmetric probability density function, correlation coefficient, time sampling interval.


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For citation:

V.M. Artyushenko, V.I. VolovachQuasi-optimal demodulation of the mixture narrow-band signal and additive non-Gaussian noise with band-limited spectrum. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2019. No. 4. Available at http://jre.cplire.ru/jre/apr19/4/text.pdf

DOI  10.30898/1684-1719.2019.4.4