Multirate systems and filter banks
Multirate systems and filter banks
Representations of linear periodically time-varying and multirate systems
IEEE Transactions on Signal Processing
Theory and design of multirate sensor arrays
IEEE Transactions on Signal Processing
Optimal approximate inverse of linear periodic filters
IEEE Transactions on Signal Processing
Algebraic theory of optimal filterbanks
IEEE Transactions on Signal Processing
A unified approach to scrambling filter design
IEEE Transactions on Signal Processing
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Complete alias cancellation, in an arbitrary nonuniform and/or nonmaximally decimated filter bank structure, is not guaranteed. Also it is well known that the inversion of a linear periodically time varying (LPTV) system is not always guaranteed. In this paper we exploit the ability of uniform filter bank (UFB) framework to provide alternative models for these structures. We propose a simplification by generalising the well known pseudocirculant conditions [1] (Vaidyanathan and Mitra, 1988). UFB can be characterised by the two switching representations of the LPTV systems. The set of linear time invariant (LTI) systems in each representation is uniquely related to the rows and columns of the matrix associated with the UFB. Under the pseudocirculant conditions the UFB reduces to an LTI system. Here we obtain a set of generalised pseudocirculant conditions which reduce the UFB to an LPTV of lower order.