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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