Three-channel adaptive biorthogonal filterbanks via lifting scheme aro investi-gated. Using the subband coding gain as the criterion in design, starting from an arbitrary filterbank (orthonormal or biorthogonal), three-channel biorthogonal filterbanks arc designed by the sequential adaptive lifting scheme. Finally, experimental results show that the sub-band coding gains can be improved when an appropriate initial filterbank is chosen.
Tsatsanis M K, Giannakis G B. Principal component fiterbanks for optimal multiresolution analysis. IEEE Trans. on Signal Processing, 1995, SP-43(8): 1766-1777.[2]Daubechies I. Ten Lectures on Wavelets. Montpelier Vermont, Capital City Press, 1992: 174-191.[3]Kirac A, Vaidyanathan P P. Theory and design of optimum FIR compaction filters. IEEE Trans.on Signal Processing, 1998, SP-46(4): 903-919.[4]Moulin P, Mihcak M K. Theory and design of signal-adapted FIR paraunitary filter banks. IEEE Trans. on Signal Processing, 1998, SP-46(4): 920-929.[5]Vaidyanathan P P, Kirac A. Result on optimal biothogonal filter banks[J].IEEE Trans. on Circuits Systems .1998, CAS-Ⅱ-45(8):932-947[6]Shui P, Bao Z, Zhang X, Tang Y. Two-channel adaptive biorthogonal filterbanks via lifting[J].Signal Processing.2002, 82:881-893[7]Kovavaevic J, Sweldens W. Wavelet families of increasing order in arbitrary dimensions. IEEE Trans. on Image Processing, 2001, IP-9(2): 480-496.[8]Topiwala(Ed.) P N. Wavelet Image and Video Compression. Dordrecht, MA, Kluwer Acdemic Publishers, 1998: 187-203.