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本文根据随机信号处理理论,提出了利用随机信号处理模型(或系统)来分析频稳问题。文中给出了如下结果; 1.利用(7)、(11)二式,导出了系统(见图1)及子系统的单位冲击响应、传输函数、单位冲击响应的自相关函数、功率或能量传输函数以及有关的Z传输函数; 2.导出了系统各点随机信号的自协方差函数、功率谱密度函数, 3.根据1.2.结果,导出了几种主要随机信号谱型的N抽样方差<σ_y~2(N,T_0,T)>的计算公式(见表Ⅱ); 4.导出了 Allan方差的理论公式、工程用公式以及相对误差公式(见表Ⅲ)。 本文指出了文献[2、3、5～7]中计算闪烁相位噪声的Allan方差公式是欠妥的。
Based on the theory of stochastic signal processing, this paper presents a stochastic signal processing model (or system) to analyze the problem of frequency stability. The following results are given in this paper: 1. Using the formulas (7) and (11), the system impulse response, transfer function, auto-correlation function of unit impulse response, power or energy The transfer function and the related Z transfer function; 2. The autocovariance function and the power spectral density function of the random signals at various points in the system are derived; 3. According to 1.2. Results, the N sampling variance of several major random signal patterns is derived σ_y ~ 2 (N, T_0, T)> (see Table II); 4. Derive the theoretical formula, engineering formula and relative error formula of Allan variance (see Table III). This paper points out that the Allan variance formula for calculating the scintillation phase noise in [2,3,5 ~ 7] is not proper.