改进型阈值函数寻优法的小波去噪分析

Wavelet Denoising Based on Modified Threshold Function Optimization Method

  • 摘要: 小波阈值函数去噪目的是保留带噪语音信号中有用语音小波系数,除去噪声小波系数,因此阈值函数获取以及对阈值的估计直接决定该方法去噪效果。针对现存的小波阈值函数不连续、不同分解层数阈值恒定以及会产生恒定误差等缺点。提出一种改进的带调整参数小波阈值函数,并采用粒子群优化算法寻找改进阈值函数在某一背景噪声环境中的最优参数值,将改进的小波阈值函数与贝叶斯阈值方法相结合,重构处理后得到最优小波系数的语音信号。改进阈值函数与传统阈值函数去噪相比,其仿真结果表明在语音输出信噪比、降低有用信号失真和有效抑制背景噪声等方面都有一定的提高。

     

    Abstract: Wavelet threshold function de-noising algorithms were effective for remove noise wavelet coefficients and preserve the useful speech coefficients from noise speech signals, thus the acquisitions of threshold function and threshold estimates can determine the efficiency of this de-noising method directly. For existing wavelet threshold functions have various deficiencies in discontinuity and different decomposition level about the fixed threshold aspect, which also produce constant errors during the de-noising process. An improved wavelet threshold function with adjusted parameters is proposed, the particle swarm optimization (PSO) algorithm is imple- nted to find the optimal parameter values of this threshold function in a noise background environ- ment, and the improved wavelet threshold function method combine with Bayes shrink threshold, furthermore, the processed optimal wavelet coefficients were reconstruct the enhancement speech signal. Compared with the traditional threshold de-noising method, the simulation results show that the modified threshold function can improve the output signal to noise ration (SNR), reduce the useful signal distortion and eliminate background noise effectively.

     

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