A general biorthogonal wavelet based on Karhunen–Loéve transform approximation. Issue 4 (April 2016)

• Record Type: Journal Article
• Authors: Kale, Mehmet
• Is Part Of: Signal, image and video processing. Volume 10:Issue 4(2016)
• Page Start: 791
• Page End: 794
• Publication Date: 2016-04
• Subjects: Biorthogonal wavelets -- Lifting scheme -- Block wavelet transform -- Filter design; Signal processing -- Digital techniques -- Periodicals; Image processing -- Digital techniques -- Periodicals; Digital video -- Periodicals; 621.3822
• DOI: 10.1007/s11760-016-0860-2
• Languages: English
• ISSNs: 1863-1703

Abstract

Abstract The lifting style biorthogonal wavelet implementation has a nice property of enabling flexible design; it is immediately reversible and has a simple relation to subband filters. In this work, we present a general wavelet prediction (P ) and update (U ) filters of two-channel lifting structures. A previous research of the author introduced signal-specific wavelets, which minimizes the difference between block wavelet transform matrix of the wavelet and the Karhunen–Loéve transform of a stochastic process with certain autocorrelation sequence. This research introduces a general wavelet, which can work on any stochastic process. Numerical results are provided in terms of the filter coefficients and experimental performances on 16 test images.