Multirate systems and filter banks
Multirate systems and filter banks
Multiresolution Signal Decomposition: Transforms, Subbands, and Wavelets
Multiresolution Signal Decomposition: Transforms, Subbands, and Wavelets
Modeling, analysis, and optimum design of quantized M-band filterbanks
IEEE Transactions on Signal Processing
Coding gain in paraunitary analysis/synthesis systems
IEEE Transactions on Signal Processing
Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for Rn
IEEE Transactions on Information Theory - Part 2
Synthesis filter bank optimization in two-dimensional separable subband coding systems
IEEE Transactions on Image Processing
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This paper provides a rigorous theory for analysis of quantization effects and optimum filter bank design in quantized multidimensional subband filter banks. Each pdf-optimized quantizer is modeled by a nonlinear gain-plus-additive uncorrelated noise and embedded into the subband structure. Using polyphase decomposition of the analysis/synthesis filter banks, we derive the exact expression for the output mean square quantization error. Based on the minimization of the output mean square error, the technique for optimal filter design methodology is developed. Numerical design examples for optimum nonseparable paraunitary and biorthogonal filter banks are presented with a quincunx subsampling lattice.