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On Parallelepiped-Shaped Passbands for Multidimensional Nonseparable Mth-Band Low-Pass Filters

DSpace at IIT Bombay

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Title On Parallelepiped-Shaped Passbands for Multidimensional Nonseparable Mth-Band Low-Pass Filters
 
Creator SAIFEE, Q
PATWARDHAN, PG
GADRE, VM
 
Subject fir filters
signal filtering and prediction
wave filters
multidimensional digital filters
 
Description The “shape” of the desired frequency passband is an important consideration in the design of nonseparable multidimensional ($M$ -D) filters in $M$-D multirate systems. For $M$-D ${bf M}$th-band filters, the passband shape should be chosen such that the ${bf M}$th-band constraint is satisfied. The most commonly used shape of the passband for $M$-D ${bf M}$ th-band low-pass filters is the so-called symmetric parallelepiped (SPD) ${rm SPD}(pi {bf M}^{- {rm T}})$ . In this paper, we consider the more general parallelepiped passband ${rm SPD}(pi {bf L} ^{rm T})$, and derive conditions on $ {bf L} $ such that the ${bf M}$ th-band constraint is satisfied. This result gives some flexibility in designing $M$-D ${bf M}$th-band filters with parallelepiped shapes other than the commonly used case of $ {bf L} = {bf M}^{- 1}$. We present design examples of 2-D ${bf M}$th-band filters to illustrate this flexibility in the choice of $ {bf L} $.
 
Publisher IEEE
 
Date 2009-01-29T12:08:36Z
2011-11-25T16:32:50Z
2011-12-26T13:05:43Z
2011-12-27T05:52:55Z
2009-01-29T12:08:36Z
2011-11-25T16:32:50Z
2011-12-26T13:05:43Z
2011-12-27T05:52:55Z
2008
 
Type Article
 
Identifier IEEE Transactions on Circuits and Systems II: Express Briefs 55 (8), 786-790
1549-7747
http://dx.doi.org/10.1109/TCSII.2008.921785
http://hdl.handle.net/10054/588
http://dspace.library.iitb.ac.in/xmlui/handle/10054/588
 
Language en