Using of Volterr's Transfer Functions in Solving the Problem of Stochastic Filtration with Input Signal in the Form of White Gaussian Noise
Journal Title: Вісник НТУУ КПІ. Серія Радіотехніка, Радіоапаратобудування - Year 2018, Vol 0, Issue 74
Abstract
This paper is continuation of the researches of non-linear systems in case of different input signals. Earlier, the case of a harmonic input signal was considered. Expressions for the output harmonics were received. In present paper Gaussian random process passing through the non-linear filter having the effect of a stochastic resonance is researched. Volterra series is used in calculations. A substantial number of the systems encountered in communication problems can be represented as Volterra series. It is shown that the n-fold Fourier transform plays an important role in this analysis. When the Volterra transfer functions are known, items of interest regarding the output can be obtained by substituting them in general formulas derived from the Volterra series representation. These items include expressions for the output power spectrum and various moments. Volterra transfer function by means of which expressions for the second order initial moment and power spectral density of output process are calculated. The frequency dependences of power spectral density of the output signal of the non-linear stochastic filter and also amplitude characteristics are calculated and analyzed in case of different parameter values of the filter. The obtained results showed that power spectral density of the output signal of the considered non-linear stochastic filter decreases when frequency increases and increases when power spectral density of an input signal increases. Besides, the analysis of probability density function of an output signal showed that values of the non-linear stochastic filter output signal are described by Student's t-distribution. Numerical calculations of an output signal by Runge-Kutta method were carried out for assessment of accuracy and reliability of the obtained results. The comparative analysis of dependences of an output signal power spectrum densities are obtained by the numerical calculation and on the basis of Volterra series shows their similar character. Further it is planned to consider non-linear stochastic filter driven by the mixture of harmonic and Gaussian input.
Authors and Affiliations
O. Kharchenko
Keywords
Related Articles
- EP ID EP392091
- DOI 10.20535/RADAP.2018.74.11-16
- Views 70
- Downloads 0
Planar metal-dielectric waveguides with the expanded singlemode band regime
Purpose. Present work is devoted to the optimization of metal-dielectric waveguides for practical application in integrated optics. Actuality and practical importance. Such waveguides are a perspective element for creati...
Physical-topological modelling techniques of metal induction evaporator
The article describes the methodology and results of hierarchical modelling of the induction evaporator, which takes into account the related heterogeneous processes and allows to numerically calculate the electromagneti...
Deformation-sensitive SAW generator
The article deals with the issues of deformational and heat sensitivity of the generators on the surface acoustic waves. Description and results of research are shown
Numerical investigation of characteristics of phased antenna arrays, based on printed quasi-Yagi radiating elements
Abstract. Paper presents numerical investigation of radiation and matching characteristics of a printed quasi-Yagi antenna and 11x11 2D phased array, based on quasi-Yagi radiating elements. Results were obtained by fin...
Microstrip filter based on 2D inhomogeneities
Realization of microstrip narrow-band filters based on 1D- and 2D-inhomogeneities areconsidered. Features impedance dependencies of filter structures are analyzed. There areillustrated, that 2D-inhomogeneities, as electr...