V.M. Artyushenko − Dr.Sc. (Eng.), Professor, 

Head of Information Technology and Management Systems Department, 

Technological University (Korolev, Moscow region)

E-mail: artuschenko@mail.ru

V.I. Volovach − Dr.Sc. (Eng.), Associate Professor, 

Head of the Department of Information and Electronic Service, 

Volga Region State University of Service (Toglyatti) E-mail: volovach.vi@mail.ru

The issues of efficiency of inertial nonlinear converter (INC) of signals under impact of additive correlated noise with non-Gaussian nature of distribution are considered and analyzed. It is shown that the use of amplitude suppression method (ASM) allows implementing effective non-neutral nonlinear converters only using band-pass filters. However, the modification of this method, as shown in the article, eliminates the use of these filters.

Proposed is structural diagram of INC, mathematical apparatus describing converter is shown. INP includes the inertial part which is turning on the block of a delay of a signal and the block of formation of statistics, and the inertia less part presenting itself the block of nonlinear transformation (BNT) of a signal. The effect on the INP of additive noise in the form of ergodic stationary process with two-dimensional probability density function (PDF) is considered. Obtained for the present case are expressions for signal-to-noise ratio (SNR) division at the output of the INP, including an expression in which signal parameters are specified in the polar coordinate system. Type of BNP characteristic is defined, at which SNR is maximized. It is shown that maximum efficiency of ASM is achieved at maximum SNR at the output of BNP. The latter, in turn, reaches the level when the amplitude characteristic (AC) of the BNP is matched with the PDF of statistics, including fair for noise with arbitrary shape and spectrum width.

The operation of the INP under Gaussian correlated noise conditions was analyzed. The obtained PDF is shown to be a particular Hoyt case. If the noise is uncorrelated, the BNP ACs in the INP is quadratic. Obtained a reduction to calculate the SNR. It has also been shown that when subjected to correlated Gaussian noise, the resulting quadratic AC is not optimal, as well as in cases where the PDF noise is different from normal. The expression determining the gain from the BNP AP optimization in the INP scheme, as well as in case of noise with the non-Gaussian PDF, was obtained. It has been shown that the use of optimized BNP is achieved with large values of correlation coefficient. At that correlation coefficient equal to one reverses PDF of signal to normal one-way.

The operation of the INP with polynomial processing in the BNP, the efficiency of which depends on the coefficients of the polynomial used, has been analyzed. Optimal values of coefficients providing maximum suppression of additive noise and associated SNR were found.

The operation of the INP under the conditions of harmonic noise and white Gaussian noise is also analyzed. A joint PDF has been defined for the case. With an arbitrary function of the envelope of the correlation coefficient of the harmonic process, the obtained PDF differs from the Rice PDF. As a result, it has been shown that the efficiency of the INP will differ from that of a non-neural noncoherent amplitude noise suppressor. Expressions characterizing said effectiveness in two extreme cases were used, and it was also shown under what conditions the found PDF went to the Rice PDF. The moment functions of the used PDF are determined, allowing determining the effectiveness of INP using BNP with polynomial transformation. Calculated values are obtained, which reflect efficiency of INP operation under conditions of exposure to both non-critical and correlated non-Gaussian noises. Based on the results of the work, conclusions are given on the results of the impact of various noise on the INP, in particular, it is noted that the use of the INP is effective when exposed to Gaussian and non-Gaussian noise with production-free width and spectrum shape.

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