Fault diagnosis method of analog circuit based on random sinusoidal signal test and hmm
A technology for simulating circuit faults and sinusoidal signals, applied in the direction of analog circuit testing, electronic circuit testing, etc., can solve the problems of affecting the output response of the circuit, affecting the diagnosis results, limited frequency components, etc., to increase the degree of information, improve the diagnosability, The effect of improving accuracy
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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:
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[0049] where Y(t) is a random process, f Y (y,t) is the one-dimensional probability density function of Y(t), f Y (y 1 ,y 2 ,t 1 ,t 2 ) is the binary probability density function of Y(t), Y(t 1 ) and Y(t 2 ) respectively at t 1 and t 2 The random variable obtained by observing Y(t) at all times, τ is t 1 and t 2 interval between moments.
[0050] In Embodiments 1-3, the hidden Markov model based on random time series is implemented in the following way:
[0051] First, 4 HMM diagnostic models are trained with 4 kinds of feature sequences. HMM can be described by...
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