CAJ | 학술논문

为提高小波包降噪精度,提出一种小波包和奇异值结合的改进算法.首先选取合适的小波基函数进行小波包分解,对小波包系数进行奇异值分解,然后重构信号,最后仿真验证该算法的有效性.结果表明该算法可以有效地滤去噪声信号,同时可以保留信号中的高频成分,降噪效果优于小波包降噪.
위제고소파포강조정도,제출일충소파포화기이치결합적개진산법.수선선취합괄적소파기함수진행소파포분해,대소파포계수진행기이치분해,연후중구신호,최후방진험증해산법적유효성.결과표명해산법가이유효지려거조성신호,동시가이보류신호중적고빈성분,강조효과우우소파포강조.
In order to raise the accuracy of wavelet packet de-noising, an improved algorithm combining the wavelet packet with singular values was put forward. Firstly, the method based on appropriate wavelet base functions was used for decomposition of the N-layer wavelet. Secondly, the singular value processing was carried out for the N-layer wavelet packet. Then the signal was reconstructed and restored. Finally the Matlab simulation was conducted to prove the effectiveness of the algorithm. The results show that the algorithm can effectively filter out the noise signal and can keep the high-frequency components in the signal, and the effect of signal noise reduction of the algorithm is better than that of the conventional wavelet packet.