YU Ben-fu, WANG Wei-bo, ZHENG Yong-kang, et al. Wavelet de-noising algorithm based on adaptive decomposition number of layers and threshold[J]. 2017, 36(12): 126-129+133.
YU Ben-fu, WANG Wei-bo, ZHENG Yong-kang, et al. Wavelet de-noising algorithm based on adaptive decomposition number of layers and threshold[J]. 2017, 36(12): 126-129+133. DOI: 10.13873/J.1000-9787(2017)12-0126-04.
In order to reduce noise in electric energy quality disturbance signals
a wavelet de-noising algorithm based on adaptive decomposition level and threshold is proposed. The algorithm adaptively determine number of optimal wavelet decomposition levels by calculating peak-to-sum ratio of the wavelet detail coefficients and according to distribution characteristic of useful signals and the noise signals in detail coefficients of each levels and the ratio of peak value of the negative and positive of the detail coefficients
dynamically adjust upper and lower thresholds of the detail coefficients of each levels. The transient oscillation and pulse signals are de-noised by using Matlab
and compared with conventional hard
soft threshold algorithm and an improved wavelet threshold algorithm. The results show that number of adaptive decomposition level and the proposed threshold wavelet denoising algorithm is superior to the other three methods in terms of signal-to-noise ratio( SNR) and root mean square error( RMSE) and the reconstructed signal is closer to the original signal
and better preserves the characteristic information of the signal during the disturbance period.
Wavelet Threshold Estimators for Data with Correlated Noise [J] . Iain M.Johnstone,Bernard W.Silverman. Journal of the Royal Statistical Society: Series B (Statistical Methodology) . 2002 (2)