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 implementation process of the fiber optic gyroscope signal denoising method 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 by using lifting wavelet
[0032] Such as figure 2 As shown, x(n) is the static output signal of the fiber optic gyroscope obtained through the data acquisition system. We can see from the figure that the decomposition process of x(n) can be divided into the following three steps:
[0033] 1. Splitting: Splitting the original signal x(n) into two disjoint subsets, the usual practice is to divide a sequence into an even sequence x e and the odd sequence x 0 ,which is:
[0034] x e (n)=x(2n),x o (n)=x(2n+1)
[0035] 2. Prediction: Use the predictor P to generate the wavelet coefficient d(n), that is, use x e (n) to predict x o (n) The error generated, its expression is:
[0036] d(n)=x o (n)-P(x e (n))
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