基于三次样条插值的小波模极大值去噪算法  

Denoising algorithm of wavelet modulus maximum based on cubic spline interpolation

作　　者：赵鸿图[1] 刘云[1] 

机构地区：[1]河南理工大学计算机科学与技术学院,河南焦作454000

出　　处：《计算机工程与设计》2014年第8期2965-2968,2975,共5页Computer Engineering and Design

基　　金：国家创新方法工作专项基金项目(2010IM020500)

摘　　要：为解决交替投影法计算量大、收敛速度慢的问题,提出一种基于三次样条插值的改进去噪算法。利用Adhoc算法来搜索模极大值线,求出信号的模极大值点,通过三次样条函数对信号模极大值点进行插值,得到信号的估计小波系数进而重构信号。Matlab仿真结果表明,该算法能在很大程度上去除噪声,提高信噪比,将仿真结果和其它算法进行比较,比较结果表明了该算法的收敛速度和信号优化质量明显优于其它算法。To solve the problems of the large computation and the slow convergence speed of the alternating projection （AP） method, an improved denoising algorithm based on cubic spline interpolation was put forward. The modulus maximum line was searched and the modulus maximum points of the signal were found by using the Adhoc algorithm, the signal estimated wavelet coefficients were obtained from using the cubic spline interpolation function between the points of modulus maximum and the sig- nal was reconstructed. The Matlab simulation results prove that the improved denoising algorithm can improve the SNR and re- move the noise to a great degree. The convergence speed and the optimal signal quality are superior to other algorithms by com- paring with the simulation results.

关 键 词：交替投影法 模极大值 三次样条函数 小波系数 重构信号 

分 类 号：TN911.72[电子电信—通信与信息系统]