Biorthogonal wavelets of maximum coding gain through pseudoframes for subspaces

Matthew A. Herman; Shidong Li

doi:10.1117/12.681496

25 August 2006 Biorthogonal wavelets of maximum coding gain through pseudoframes for subspaces

Matthew A. Herman, Shidong Li

Proceedings Volume 6315, Mathematics of Data/Image Pattern Recognition, Compression, and Encryption with Applications IX; 631501 (2006) https://doi.org/10.1117/12.681496
Event: SPIE Optics + Photonics, 2006, San Diego, California, United States

Abstract

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.

Citation Download Citation

Matthew A. Herman and Shidong Li "Biorthogonal wavelets of maximum coding gain through pseudoframes for subspaces", Proc. SPIE 6315, Mathematics of Data/Image Pattern Recognition, Compression, and Encryption with Applications IX, 631501 (25 August 2006); https://doi.org/10.1117/12.681496

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