Abstract
Wavelet transform, which is a well-known and a remarkable way for the unsteady signal processing, is considered to surpass the Fourier analysis and it is applied in various fields. In this study, we propose a complex multi resolution analysis (CMRA) with RI-Spline wavelet and dual-tree algorithm corresponding to CMRA in order to carry out discrete wavelet transform, and apply it to remove noise. The main results obtained can be summarized as follows: 1) Poor shift invariance which occurred by the discrete wavelet transform in the case of using real mother wavelet has been improved by using CMRA was conformed. 2) The discrete wavelet transform corresponding to CMRA has been applied to removal of the white noise in ECG and the pulse noise in record music, and the usefulness of our approach was demonstrated.
