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Support constraints for M-band alias-free filter banks

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2 Author(s)
Martucci, S.A. ; Sch. of Electr. Eng., Georgia Inst. of Technol., Atlanta, GA, USA ; Mersereau, R.M.

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 MM-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

Published in:

Acoustics, Speech, and Signal Processing, 1992. ICASSP-92., 1992 IEEE International Conference on  (Volume:5 )

Date of Conference:

23-26 Mar 1992