Forward linear prediction (FLP) denoising method based on lifting wavelet reconstruction layer
A linear prediction and wavelet reconstruction technology, applied in the field of signal processing, can solve the problem of ineffective noise removal, difficult to achieve denoising effect, etc., to achieve the effect of improving the convergence speed, easily handling boundary problems, and reducing dispersion.
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[0030] The realization process of the denoising method of the fiber optic gyroscope signal of the present invention is as follows figure 1 As shown, it mainly includes the following four steps:
[0031] (1): Multi-scale decomposition of fiber optic gyroscope signal using lifting wavelet
[0032] Such as figure 2 As shown, x(n) is the static output signal of the fiber optic gyroscope obtained by the data acquisition system. From the figure we can see that the decomposition process of x(n) can be divided into the following three steps:
[0033] 1. Splitting: Split the original signal x(n) into two disjoint subsets. The usual method is to divide a sequence of numbers into even-numbered sequences x e And odd sequence x 0 ,which is:
[0034] x e (n)=x(2n), x o (n)=x(2n+1)
[0035] 2. Prediction: Use the prediction operator P to generate the wavelet coefficient d(n), that is, use x e (n) to predict x o (n) The resulting error, its expression is:
[0036] d(n)=x o (n)-P(x e (n))
[0037] 3. Up...
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