Parameter wavelet threshold signal denoising method based on improved artificial bee colony algorithm
An artificial bee colony algorithm and wavelet threshold technology, applied in computing, artificial life, computing models, etc., can solve problems such as low convergence accuracy, easy to fall into local optimum, and slow convergence speed
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Embodiment 1
[0073] see figure 1 , 2 As shown, a kind of parametric wavelet threshold signal denoising method based on the improved artificial bee colony algorithm described in this embodiment includes the following steps:
[0074] S1: Design a new threshold function based on the traditional threshold function, prove its properties through mathematical derivation, and determine the threshold parameters to be optimized; the specific steps are as follows:
[0075] S1-1. A new threshold function construction:
[0076] The threshold function embodies different processing strategies and different estimation methods for wavelet coefficients, which directly affects the final denoising effect. A reasonable threshold function needs to meet the continuous input-output curve, relatively smooth processing, and keep the wavelet coefficient of the signal basically unchanged. Therefore, the present invention proposes a new improved threshold function for soft and hard threshold functions and semi-soft...
Embodiment 2
[0124] In order to verify the effectiveness of the improved artificial bee colony algorithm, the performance of the improved artificial bee colony algorithm and the original ABC, ECABC, original PSO, MPSO algorithms was analyzed. The computer configuration used is: Intel i5-4570 processor, Windows 7 operating system, 4G memory, MATLAB R2015b. Select the six benchmark functions shown in Table 1 to test the performance of the algorithm. where Sphere(f 1 ) function is a continuous unimodal function, Step(f 2 ) function is a discontinuous step unimodal function, Rastrigin(f 3 ), Ackley (f 4 ), Schwefel 2.26(f 5 ) function is a continuous multimodal function, RosenBrock(f 6 ) function is a unimodal function when D≤3, and a multimodal function when D>3. The optimal value of the five functions is 0, and the acceptable value is 1×10 -8 , acceptable values represent satisfactory solutions of the function.
[0125] Table 1 Benchmark function
[0126]
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