Correlation Functions of the Noise Modulation Function under the Influence of Stationary and Slow Multiplicative Noise

2022 International Siberian Conference on Control and Communications (SIBCON) Pub Date : 2022-11-17 DOI:10.1109/SIBCON56144.2022.10003012

V. M. Artyushenko, V. I. Volovach

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引用次数: 1

Abstract

An approach for determining the correlation functions of the noise modulation function under the influence of modulating (or more often multiplicative) noise is described. Both stationary and slow noise is considered as influencing multiplicative noise. Correlation functions of noise modulation and fluctuations of the latter can be found by the four-dimensional characteristic function of phase and amplitude distortions. We have derived expressions for the abovementioned correlation functions affected by static multiplicative noise for the normal law of variation of amplitude and phase distortions in the case of their uncorrelation and cross-correlation. The correlation functions of noise modulation and noise modulation function fluctuations under the influence of slow modulating noise were determined for the case when the phase and distortion amplitude variations are independent. The expressions of the correlation functions of noise modulation and its fluctuations for correlated and normal distribution of phase and amplitude distortions under the influence of slow modulating noise are obtained.

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平稳和慢乘噪声影响下噪声调制函数的相关函数

描述了一种在调制(或更经常是倍增)噪声影响下确定噪声调制函数的相关函数的方法。同时考虑了平稳噪声和慢噪声对乘性噪声的影响。通过相位和振幅畸变的四维特征函数可以找到噪声调制与波动的相关函数。我们推导了上述受静态乘性噪声影响的相关函数在不相关和互相关情况下振幅和相位畸变的正常变化规律的表达式。在相位和畸变幅值变化独立的情况下，确定了慢调制噪声影响下的噪声调制函数和噪声调制函数波动的相关函数。得到了慢调制噪声影响下相位和幅值畸变相关分布和正态分布的相关函数及其波动表达式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

2022 International Siberian Conference on Control and Communications (SIBCON)

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