Gröbner Bases and Multidimensional FIR Multirate Systems
Multidimensional Systems and Signal Processing
Design of mixed IIR/FIR Two-channel QMF bank
Signal Processing
A new method of estimating wavelet with desired features from a given signal
Signal Processing - Content-based image and video retrieval
On characterization of linear phase nonuniform filter banks
Signal Processing
Perfect reconstruction IIR digital filter banks supporting nonexpansive linear signal extensions
IEEE Transactions on Signal Processing
Novel system inversion algorithm with application to oversampled perfect reconstruction filter banks
IEEE Transactions on Signal Processing
A study on new right/left inverses of nonsquare polynomial matrices
International Journal of Applied Mathematics and Computer Science - SPECIAL SECTION: Efficient Resource Management for Grid-Enabled Applications
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In a maximally decimated filter bank with identical decimation ratios for all channels, the perfect reconstructibility property and the nature of reconstruction filters (causality, stability, FIR property, and so on) depend on the properties of the polyphase matrix. Various properties and capabilities of the filter bank depend on the properties of the polyphase matrix as well as the nature of its inverse. In this paper we undertake a study of the types of inverses and characterize them according to their system theoretic properties (i.e., properties of state-space descriptions, McMillan degree, degree of determinant, and so forth). We find in particular that causal polyphase matrices with anticausal inverses have an important role in filter bank theory. We study their properties both for the FIR and IIR cases. Techniques for implementing anticausal IIR inverses based on state space descriptions are outlined. It is found that causal FIR matrices with anticausal FIR inverses (cafacafi) have a key role in the characterization of FIR filter banks