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Synthesis of signal processing algorithms under influence of band-limited non-Gaussian noise. Quadrature processing

DOI 10.18127/j00338486-201903-02

Keywords:

V.M. Artyushenko – Dr.Sc.(Eng.), Professor, Head of Department of Information Technology and Management Systems, Technological University (Korolyov, Moscow region)
E-mail: artuschenko@mail.ru
V.I. Volovach – Dr.Sc.(Eng.), Associate Professor, Head of Department of Information and Electronic Service,
Volga Region State University of Service (Togliatti)
E-mail: volovach.vi@mail.ru


The problems of synthesis of quasi-optimal algorithms for quadrature processing of useful signals under the influence of additive non-Gaussian noise with a band-limited spectrum are considered and analyzed. The necessity of obtaining these algorithms and implementing their structural schemes, including the practically important case of signal processing under the influence of noise from underlying surfaces, interfering with neighboring sources, etc. for the analysis of the impact of additive non-Gaussian noise the methods of nonlinear Markov filtering are used, when the adjacent counts of these noise are both correlated and independent.
In the General case of quadrature processing, the neighboring counts of additive noise are correlated. It is assumed that the band-limited signal is affected by a band-limited noise with a spectrum wider than the signal spectrum. In turn, the signal is modulated in amplitude and phase and has a random initial phase. Since the input mixture of signal and noise is a narrow-band process, it can be represented as quadrature decomposition. In this case, the sequences of quadrature components of the envelope of the useful signal and additive noise, as well as the two-dimensional sequence form a Markov process with known statistical characteristics. Assuming the signal-to-noise ratio at the input of the demodulating device to be small, we can write a number of recurrent equations describing the quadrature components of the desired quasi-optimal algorithm. The block diagram realizing the named algorithm and representing the nonlinear non-stationary four-channel device is offered. The nonlinearity of the channels is due to both the nonlinear dependence of the information sequence of the signal and the non-Gaussian nature of the PDF noise. It is shown that the characteristic of the block of nonlinear transformation of noise quadratures is determined by the two-dimensional transition PDF of additive noise quadratures; the corresponding expression is obtained.
In the special case of quadrature processing, the neighboring counts of additive noise are independent. In this case, the previously obtained recurrent equations can be simplified. The demodulator block diagram will also be greatly simplified. It is shown that the extrapolated estimate leads to a further simplification of the recurrence equations. The case in which a stationary mode is set in the synthesized demodulator is described.

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