Research on wavelet denoising for pulse signal based on improved wavelet thresholding

Abstract

Pulse signal is the non-stationary random signal, the signal denoising is an important task before analyzing it. Based on wavelet thresholding denoising method presented by Donoho, a new compromising threshold function is proposed. Compared with classical thresholding denoising methods, it overcomes the discontinuity of the hard-thresholding method and reduces the fixed deviation between the estimated wavelet coefficients and the decomposed wavelet coefficients of the soft-thresholding method. The experiment results show that the improved method gives better Signal to Noise Ratio (SNR) and Mean Square Error (MSE) than the soft-thresholding method, hard-thresholding method and the standard compromising method between them. © 2010 IEEE.