On the adequacy of the frequency-symbolic method for linear parametric circuits analysis

Yuriy Shapovalov
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Abstract

A frequency-symbolic method (FS-method) of the analysis of steady-state mode of linear parametric circuits is intended for forming their transfer functions in the frequency domain. Transfer functions are approximated by Fourier polynomials and contain a complex variable, time variable and parameters of circuit elements in the form of symbols. The coefficients of such Fourier polynomials by the FS-method are unknown in the symbolic systems of linear algebraic equations (SSLAE), and are defined as their solutions in symbolic form. In the paper we present a method of forming an approximation expression which ensures the adequacy of calculations. Examples and results of computer experiments are given. The system of functions MAOPCs based on a frequency-symbolic method is used for the optimal design of electronic devices of noise-immune hidden radio engineering systems using code signals.
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论频率符号法在线性参数电路分析中的适当性
分析线性参数电路稳态模式的频率符号法(FS 法)是为了在频域中形成其传递函数。传递函数由傅里叶多项式近似表示,包含复变量、时间变量和符号形式的电路元件参数。在线性代数方程的符号系统(SSLAE)中,FS 方法的傅里叶多项式系数是未知的,它们被定义为符号形式的解。在本文中,我们提出了一种形成近似表达式的方法,以确保计算的充分性。文中还给出了计算机实验的示例和结果。基于频率符号法的函数 MAOPC 系统被用于使用编码信号的抗噪声隐蔽无线电工程系统电子设备的优化设计。
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