Robustness compressed sensing method based on Bayes
A compressed sensing and robust technology, applied in electrical components, code conversion, etc., can solve problems such as missing and abnormal measurement values, and achieve low time complexity and obvious advantages
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[0045] The present invention will be further described in detail below in conjunction with specific embodiments.
[0046] A strong robust 1-bit compressed sensing method, the specific steps are as follows:
[0047] S1. Construct a perception matrix A with random sampling properties, sample the signal to obtain y, and set the error preset value ε;
[0048] S2. Construct the prior and posterior distributions of each parameter:
[0049] S3, target update function, corresponding variables at the same time,
[0050]
[0051]
[0052]
[0053]
[0054]
[0055] S4, each parameter a priori:
[0056]
[0057] S5. Utilize the Variational-EM algorithm to update each parameter, and the specific steps are as follows:
[0058] S51, update q x (x): because
[0059]
[0060]
[0061] Among them, D s = diag(s) and D α =diag(α),
[0062] Since x follows a Gaussian distribution, then
[0063] S52, update q α (α): because
[0064]
[0065]
[00...
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