Analog circuit fault diagnosis method based on random sinusoidal signal test and HMM (Hidden Markov Model)
A technology for simulating circuit faults and sinusoidal signals, which is applied in the direction of analog circuit testing, electronic circuit testing, etc., and can solve problems affecting circuit output response, affecting diagnostic results, and limited frequency components, etc.
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Embodiment 1
[0032] Embodiment 1, combining figure 1 , an analog circuit fault diagnosis method based on random sinusoidal signal testing and HMM, including the following steps:
[0033] A. Use random sinusoidal signal X(t)={x 1 (t), x 2 (t),...,x n (t)} excites the analog circuit under test, x n (t) amplitude, phase and frequency satisfy Gaussian distribution;
[0034] B. Gather the output data sample Y(t)={y of the analog circuit to be tested 1 (t),y 2 (t),...,y n (t)}, extract the time-domain features and spectral features of the output data samples to form feature components, and each type of feature component is a time series; where the time-domain feature component is the mathematical expectation m Y (t), variance Correlation coefficient R Y (τ), the spectral characteristic component is the power spectrum S Y (ω);
[0035] C1. Combined figure 2 , the four types of feature components are input into four HMMs as four types of time series, and four hidden Markov diagnostic...
Embodiment 2
[0041] Embodiment 2, as the analog circuit fault diagnosis method based on random sinusoidal signal test and HMM of embodiment 1, in step A, random sinusoidal signal X (t) obtains as follows:
[0042] A1. Random sinusoidal signal X(t) satisfies X(t)=A(t)cos[Ω(t)t+Φ(t)], where A(t), Ω(t) and Φ(t) are respectively For amplitude random variables, phase random variables and frequency random variables that satisfy the Gaussian distribution;
[0043] A2. Use simulation software to generate samples of n groups of random sinusoidal signals, denoted as X(t)={x 1 (t), x 2 (t),...,x n (t)}, each sample signal x n (t) Excite the analog circuit under test.
Embodiment 3
[0044] Embodiment 3, as the analog circuit fault diagnosis method based on random sinusoidal signal test and HMM of embodiment 1 or 2, the mathematical expectation m described in step B Y (t), variance Correlation coefficient R Y (τ), power spectrum S Y (ω) is based on the stochastic signal analysis theory and obtained by mathematical statistics method:
[0045] m Y ( t ) = E [ Y ( t ) ] = ∫ - ∞ ∞ yf Y ( y , t ) dy
[0046] σ Y 2 ( t ) = D [ Y ...
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