Analysis on the Basis of Volterra Series Signal–To–Noise Ratio of Nonlinear Device in the Conditions of the Stochastic Resonance Effect

Kharchenko, O. I.

doi:10.11648/j.jeee.20150303.11

Cited by 2 publications

(5 citation statements)

References 7 publications

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“…The frequency is considered in the range from 0.05 to 10 Hz. The input SNR is equal, respectively to: 0.005; 0.02; 0.5 (by power) [24]. The curves of Hz at any values of the input SNR.…”

Section: The Effect Of the Input Sinusoidal Frequency On The Output Snrmentioning

confidence: 99%

The Calculation of the Stochastic Resonator Output Driven by Signal plus Noise

Kharchenko¹,

Kovacheva²,

Chumakov

2023

TEM Journal

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This paper investigates the stochastic resonance in nonlinear system driven by an additive signal-noise mixture. No exact analytical solution of the stochastic resonance equation has been found. It is usually solved approximately. In this paper, this equation is solved numerically. The noise dispersion under the stochastic resonance effect is determined. This study has convincingly shown that a weak signal could be amplified due to noise power and the output signal-to-noise ratio has a nonlinear dependence on the noise level. The results are applicable to radars in telecommunications and radio engineering.

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“…The frequency is considered in the range from 0.05 to 10 Hz. The input SNR is equal, respectively to: 0.005; 0.02; 0.5 (by power) [24]. The curves of Hz at any values of the input SNR.…”

Section: The Effect Of the Input Sinusoidal Frequency On The Output Snrmentioning

confidence: 99%

The Calculation of the Stochastic Resonator Output Driven by Signal plus Noise

Kharchenko¹,

Kovacheva²,

Chumakov

2023

TEM Journal

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“…Input signal (black), a harmonious signal of frequency = 0.05 Hz (green), dispersion of input noise = 0.01 It is explained by nonlinearity of system which is characterized by effect of SR [6,7].…”

Section: Concept Of Stochastic Resonancementioning

confidence: 99%

“…Unlike linear systems, in which the energy spectrum at the output follows input energy spectrum, output spectrum of the non-linear system has a more complicated structure [6,7].…”

Section: Concept Of Stochastic Resonancementioning

confidence: 99%

“…Output power spectrum of the non-linear device if the input is additive mix of the sine signal and noise can be writen as [6,7]: ( ) -is the beats between the components of the signal and its harmonics (a discrete part of the spectrum);…”

Section: Concept Of Stochastic Resonancementioning

confidence: 99%

“…The discrete part of the spectrum may contain the spectra line at zero frequency (DC component at the output), which is also determined by the beats of the signal components and noise. Consequently, the energy spectrum of the output of the nonlinear device is determined as [6][7][8][9]:…”

Section: Concept Of Stochastic Resonancementioning

confidence: 99%

See 2 more Smart Citations

Digital Signal Extraction by Means of Nonlinear Stochastic Filtration

Kharchenko

Карташов

2018

Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia

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The results of noise immunity analysis for digital communication systems using methods of nonlinear filtering are given. Nonlinear filtration is based on stochastic resonance effect. The stochastic resonance is given to a phenomenon that is manifest in nonlinear systems where by generally feeble input information (such as a weak signal) can be amplified and optimized by the assistance of noise. The stochastic resonance has been observed in a large variety of systems, including bistable ring lasers, semiconductor devices, chemical reactions, and mechanoreceptor cells in the tail fan of a crayfish. Numeral simulation of response at affecting input of the system on additive mixture of harmonic signal and white Gaussian noise are given. Amplitude spectrum of this output signal has been investigated. Results of the output signal-to-noise ratio calculation of the stochastic filter for the additive sum of a harmonic signal and white Gaussian noise for different values of the input noise dispersion are given. It is shown that the output signal-to-noise ratio of the system will peak at a certain value of noise intensity under a action of the input signal and noise. It is shown that the stochastic resonance effect provides separation of a digital signal from the white Gaussian noise. The comparative analysis of noise immunity of the matched filter and nonlinear stochastic filter for input square pulses are given. The effects of signal distortions in nonlinear processing with a stochastic filter are considered. Calculations of the coefficient of nonlinear distortions of a rectangular pulse are performed. It is shown that nonlinear distortions lead to a decrease in the signal-to-noise ratio at the output of the filter.

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Analysis on the Basis of Volterra Series Signal–To–Noise Ratio of Nonlinear Device in the Conditions of the Stochastic Resonance Effect

Cited by 2 publications

References 7 publications

The Calculation of the Stochastic Resonator Output Driven by Signal plus Noise

The Calculation of the Stochastic Resonator Output Driven by Signal plus Noise

Digital Signal Extraction by Means of Nonlinear Stochastic Filtration

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