Abstract: A method, apparatus, and computer program product for combining a subband decomposition and a linear signal processing filter (LSPF). Operations performed include merging the LSPF, via superposition, with each synthesis filter of the first level of the subband decomposition into a set of composite filters; generating an equivalent structure for the low-pass composite filter and its adjacent upsampler to allow combining the equivalent structure with the synthesis filter on the next level of the subband decomposition; repeatedly operating the merging on the next level of the subband decomposition; creating an equivalent structure for the intermediate structure generated by the merging step and its adjacent upsampler in order to allow for combination of the equivalent structure with the at least one synthesis filter on the next level; repeating the operations for each remaining level to generate a composite subband synthesis linear operator, which operates directly on data of the subband decomposition.

Abstract: A method, apparatus, and a computer program product for generating a set of jointly optimized linear signal processing filters and subband filters for processing digital data on a computer system are presented. In general, the invention performs the operations of determining a design scheme for at least one linear signal processing filter; determining a design scheme for at least one subband filter; and relating the design schemes for the at least one linear signal processing filter and the at least one subband filter in order to determine a relationship therebetween. The relationship provides criteria for optimization (e.g. maximizing data compression while minimizing processing requirements). Next, the design schemes are jointly adjusted using the relationship to optimize the criteria for optimization and generates an optimized linear signal processing filter/subband filter set to provide improved data processing performance.

Abstract: A method and an apparatus for estimating the upper frequency band coefficients solely from low frequency information in a subband multiresolution decomposition. In operation, a Bayesian classifier predicts the significance or insignificance of a high frequency signal, then a neural network estimates the sign and magnitude of the visually significant information and effectively eliminates insignificant information. Finally an algorithm estimates upper frequencies based on lower frequencies within the same band. This estimation is performed recursively for each level of a multiresolution decomposition pyramid until a reconstructed version of the data product is returned.

Abstract: A method, apparatus, and computer program product for combining a subband decomposition and a linear signal processing filter (LSPF). Operations performed include merging the LSPF, via superposition, with each synthesis filter of the first level of the subband decomposition into a set of composite filters; generating an equivalent structure for the low-pass composite filter and its adjacent upsampler to allow combining the equivalent structure with the synthesis filter on the next level of the subband decomposition; repeatedly operating the merging on the next level of the subband decomposition; creating an equivalent structure for the intermediate structure generated by the merging step and its adjacent upsampler in order to allow for combination of the equivalent structure with the at least one synthesis filter on the next level; repeating the operations for each remaining level to generate a composite subband synthesis linear operator, which operates directly on data of the subband decomposition.

Abstract: A method, apparatus, and a computer program product for generating a set of jointly optimized linear signal processing filters and subband filters for processing digital data on a computer system are presented. In general, the invention performs the operations of determining a design scheme for at least one linear signal processing filter; determining a design scheme for at least one subband filter; and relating the design schemes for the at least one linear signal processing filter and the at least one subband filter in order to determine a relationship therebetween. The relationship provides criteria for optimization (e.g. maximizing data compression while minimizing processing requirements). Next, the design schemes are jointly adjusted using the relationship to optimize the criteria for optimization and generates an optimized linear signal processing filter/subband filter set to provide improved data processing performance.