FIR Approximation of GTD Filter Banks and their Multiresolution Optimality

FIR approximations of inverse filters and perfect reconstruction filter banks

This paper first describes an algorithm that finds the approximate finite impulse response (FIR) inverse of an FIR filter by minimizing the inversion (or reconstruction) error constrained to zero-bias. The generalization of the inverse filtering problem in the two channel case is the design of perfect reconstruction filter banks that use critical sampling. These considerations lead to the deriv...

Multiresolution Signal and Geometry Processing: Filter Banks, Wavelets, and Subdivision

Adaptive Multiresolution Filter Banks for Image and Audio Processing

In this paper, we consider models of filter banks with variable time-frequency resolution, adapting to signal properties and human perception. The application of the proposed methods to image and audio denoising is demonstrated.

Algorithm for Jointly Optimized Analysis and Synthesis Fir Filter Banks

An algorithm for jointly optimizing uniform analysis and synthesis FIR filter banks for a given input power spectral density is proposed. The FIR subband coder is optimized with respect to the minimum block mean square error between the output and the input signals under a bit constraint. The subband quantizers are modeled as additive, signal-independent, white noise sources. Illustrative examp...

On existence of FIR principal component filter banks

In this paper we have two interesting results. One is of theoretical interest and the other practical. The theoretical result is that the optimum FIR orthonormal lter bank of a xed nite degree that maximizes the coding gain does not always contain an optimum compaction lter. In other words, in general, there does not exist a principal component lter bank (PCFB) of a given nonzero degree. This i...