Biorthogonal wavelets of maximum coding gain through pseudoframes for subspaces
Matthew A. Herman, Shidong Li · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2006
A method for designing a signal-adapted, two-channel biorthogonal wavelet filter bank that maximizes coding gain is presented using the technique of Pseudoframes for Subspaces (PFFS). At the same time the PFFS model is able to incorporate the requirements of regularity and perfect reconstruction into this design. The coding gain achieved for AR(2) signals can result in a reduction in bit rate of more than 0.66 bits per sample as compared to traditional biorthogonal wavelet filter banks of the same length. The ability for PFFS to combine all of these design elements using an unconstrained optimization parameter makes pursuing this technique worthwhile.