Application of the Lifting Scheme to variable filter band discrete wavelet transform

A variable filter band discrete wavelet transform (VFB-DWT) is a kind of discrete wavelet transform (DWT), which has variable band filter, and it can extract desired signal. However, its calculation speed becomes slower than that of the base DWT. In this study, in order to improve the calculation speed of the VFB-DWT, a complex wavelet, RI-Spline wavelet is used to base DWT by Lifting Scheme, and the VFB-DWT is achieved by added the band-pass and band-reject filters on the CDWT. As a result of numerical experimentation, it was shown that signal extraction can be performed correctly.