信号的调幅频谱在非线性单元上的变换

B. Saidov, V. Telezhkin
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引用次数: 2

摘要

在许多情况下,调制信号的频谱被转移到低频区域,例如,当无线电声音出现在有源介质中,或者在两个超声波源的信息交换信号期间,声学信号出现在节拍频率(总信号幅度变化的频率)上。在一般情况下,分析信号的频谱转换过程是一项与求解非线性微分方程组有关的困难任务。在这种情况下,叠加原理不适用。因此,如果非线性元件在动态模式下的电流-电压特性的形式与在恒定电压下(或在静态模式下)的形式相同,就可以用简单的方法对信号进行研究和分析。考虑将调幅信号传输到具有非线性电流电压特性的有源非线性元件时的频谱转换。在信号频谱转换的例子中,考虑了调幅信号和拍。为了将信号频谱转移到低频区域,必须使用调幅方法。本文分析了当调幅电压作用于非线性元件时,信号频谱到电流的转换。载波信号以调和三角余弦函数的形式表示。
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Transformation of the Amplitude-Modulated Spectrum of a Signal on a Nonlinear Element
In many cases, the spectrum of the modulated signal is transferred to the low-frequency region, for example, when radio sound appears in active dielectrics or an acoustic signal appears on the beat frequency (the frequency of the change in the amplitude of the total signal) during information exchange signals from two ultrasonic sources. In the general case, the analysis of the process of converting the spectrum of a signal turns out to be a difficult task related to solving a system of nonlinear differential equations. In this case, the principle of superposition does not apply. Thus, the study and analysis of the signal with respect to simple methods, if the form of the current-voltage characteristic for the nonlinear element in the dynamic mode is the same as with a constant voltage in time (or in static mode). Consider the conversion of the spectrum when transmitting the amplitude-modulated signal to an active nonlinear element with nonlinear current-voltage characteristics. In the examples for the conversion of the signal spectrum, the amplitude-modulated signal and beats are considered. The use of amplitude modulation methods is necessary to transfer the signal spectrum to the low-frequency region. In this paper, we analyze the conversion of the signal spectrum to current when the amplitude-modulated voltage is applied to a nonlinear element. The carrier signal is presented in the form of harmonic trigonometric cosine functions.
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