A general biorthogonal wavelet based on Karhunen-Loeve transform approximation

作者：Kale Mehmet Cemil^*

来源：Signal, Image and Video Processing, 2016, 10(4): 791-794.

DOI：10.1007/s11760-016-0860-2

• Biorthogonal wavelets
• Lifting scheme
• Block wavelet transform
• Filter design

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-Loeve 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.

• 出版日期2016-4