一种基于加权平均的改进型小波阈值降噪算法

通过分析传统硬、软阈值小波降噪算法的原理和特点,提出一种改进型小波阈值降噪算法。该算法基于加权平均原理,结合了硬、软阈值降噪的优点,克服了硬阈值函数在阈值处不连续的缺点,使重构信号具有更加良好的光滑度;同时克服了软阈值函数存在固定偏差的不足,提高了重构精度,优势明显。通过实验对传统硬、软阈值小波降噪算法与改进型小波阈值降噪算法进行了对比分析,结果表明:改进型小波阈值降噪算法的降噪效果更好,信噪比更高,均方根误差更小。

An Improved Wavelet Threshold De-noising Algorithm Based on Weighted Average Method

Basing on analyzing the principle and characteristics of conventional hard and soft threshold de-no-sing algorithms,an improved wavelet threshold de-noising algorithm was proposed,which has weighted average method based and advantages of the classic soft and hard threshold algorithms adopted and the hard threshold' s shortcoming such as the discontinuousness at threshold point overcome to make the reconstruction signal be-come into smoothness;meanwhile,this algorithm solves the fixed differential existed in the soft threshold method and improves the reconstruction precision.Comparing the classic soft and hard threshold algorithms with the improved algorithm shows that this improved algorithm has better de-noising effect,higher SNR and lower RMSE.