APPLICATION OF THE SPECTRAL METHOD TO STOCHASTIC FILTER ANALYSIS

Author:

Kharchenko O.I.

Abstract

The problem of standing out a signal from an additive mixture of a harmonic signal and white Gaussian noise is considered. The analysis is based on the phenomenon of stochastic resonance (SR), which consists in amplifying a periodic signal under the influence of noise of a certain power. SR is a universal physical phenomenon that is typical of some nonlinear systems, and is came out not only in technical, but also in biological and social systems. When calculating the spectral characteristics of the output signal, Volterra series were used. The problem is solved using the transfer functions of Volterra without the initial definition of kernels. Volterra transfer functions are obtained by the harmonic input signal method. The influence of the input signal parameters, in particular the amplitude and frequency of the harmonic signal and the noise power, on the spectral power density of the output signal is studied. Optimal parameters values are determined. Criteria are formulated for using a stochastic filter to standing out a harmonic signal on the background white Gaussian noise.

Publisher

Problems of Atomic Science and Technology

Reference13 articles.

1. N.V. Zernov, V.G. Karpov. Teoriya radiotekhni-cheskikh tsepey. M.-L.: “Energiya”, 1965, 816 p. (in Russian).

2. Yu.I. Voloshchuk. Pidruchnik dla studentiv vich. navch. zakladiv. Kharkiv: TOV “Kompania CMIT”, 2005, v. 3, 228 p. (in Russian).

3. N. Wiener. Nonlinear Problems in Random Theory. Cambridge, Mass. Technology Press; and New York Wiley, 1958.

4. E. Bedrosian, S. Rice. The Output Properties of Volterra Systems (Nonlinear Systems with Memory) Driven by Harmonic and Gaussian Inputs // IEEE. 1971, v. 59, № 12, p. 58-82.

5. K.A. Pupkov, V.I. Kapalin, A.S. Yushchenko. Funktsional'nyye ryady v teorii nelineynykh sistem. M.: “Nauka” 1978, 448 p. (in Russian).

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3