Two-channel adaptive biorthogonal filterbanks via lifting
Signal Processing
Two-dimensional FIR signal adapted filter banks: Optimality and design
Signal Processing
Paraunitary oversampled filter bank design for channel coding
EURASIP Journal on Applied Signal Processing
Design of two-dimensional signal adapted filter bank from one dimensional filters
SMO'06 Proceedings of the 6th WSEAS International Conference on Simulation, Modelling and Optimization
Generalized triangular decomposition in transform coding
IEEE Transactions on Signal Processing
Generalized triangular transform coding
Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers
Data dependent wavelet filtering for lossless image compression
CIARP'05 Proceedings of the 10th Iberoamerican Congress conference on Progress in Pattern Recognition, Image Analysis and Applications
Signal compression by subband coding
Automatica (Journal of IFAC)
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The theory of the orthogonal transform coder and methods for its optimal design have been known for a long time. We derive a set of necessary and sufficient conditions for the coding-gain optimality of an orthonormal subband coder for given input statistics. We also show how these conditions can be satisfied by the construction of a sequence of optimal compaction filters one at a time. Several theoretical properties of optimal compaction filters and optimal subband coders are then derived, especially pertaining to behavior as the number of subbands increases. Significant theoretical differences between optimum subband coders, transform coders, and predictive coders are summarized. Finally, conditions are presented under which optimal orthonormal subband coders yield as much coding gain as biorthogonal ones for a fixed number of subbands