Support constraints for M-band alias-free filter banks

1 January 1992

conference paper
Published by Institute of Electrical and Electronics Engineers (IEEE)

Vol. 5, 85-88 vol.5
https://doi.org/10.1109/icassp.1992.226652

Abstract

A new formulation of the system equations that describe the behavior of the one-dimensional M-band maximally decimated analysis/synthesis filter bank system is presented. The development incorporates the effects of the shift-varying nature of the upsampling and downsampling operations. By explicitly including the filter regions of support, one is able to derive a more general expression for the relationships that must exist between the analysis and synthesis filters in order to cancel all interband aliasing. From this expression one can find (1) the M/sup M-1/ distinct sets of analysis and synthesis filters from which an M-band alias-free filter bank can be constructed, and (2) the constraints on how these filters, once designed, can be shifted without destroying their aliasing cancellation properties.

Keywords

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