Optimum biorthogonal subband coders
This paper considers biorthogonal maximally decimated uniform filter banks as subband coders. Subject to assumptions of optimum bit allocation and white decorrelated quantizer distortion, it derives the filter bank that maximizes the coding gain. Ingredients to the solution include design techniques developed by Vaidyanathan for optimal orthonormal subband coders and a generalization of the half whitening process that is known to maximize the coding gain of 1-channel biorthogonal filter banks.
KeywordsFilter Bank Permutation Matrix Synthesis Filter Subband Coder Subband Signal
Unable to display preview. Download preview PDF.
- P.P. Vaidyanathan, Multirate Systems and Filter Banks, Prentice Hall, 1992.Google Scholar
- P.P. Vaidyanathan, “Optimal orthonormal filter banks”, Proceedings of ICASSP, 1996.Google Scholar
- H. S. Malavar and D. H. Staelin, “The LOT: Transform coding without blocking effects”, IEEE Transactions on Accoustics Speech and Signal Processing, ASSP-38, pp 553–559, 1990.Google Scholar
- R. L. de Queiroz and H. S. Malavar, “On the asymptotic performance of hierarchical transforms”, IEEE Transactions on Signal Processing, pp 2620–2622, 1992.Google Scholar
- K. Ramachandran and M. Vetterli, “Best wavelet packet bases in a rate distortion sense”, IEEE Transactions on Signal Processing, pp 160–174, 1993.Google Scholar
- A. Tewfik, D. Sinha and P.E. Jorgensen, “On the optimal choice of wavelet for signal representations”, IEEE Transactions on Information Theory, pp 747–765, 1992.Google Scholar
- R. A. Gopinath, J. Odegard and C. S. Burrus, “Optimal wavelet representation of signals and the wavelet sampling theorem”, IEEE Transactions on Circuits and Systems, pp 262–277, 1994.Google Scholar
- N.S. Jayant and P. Noll, Digital Coding of Waveforms, Prentice Hall, 1984.Google Scholar