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Design of 3D Nonseparable Mth Band Eigenfilters with the 48-Hedral Symmetry

DSpace at IIT Bombay

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Title Design of 3D Nonseparable Mth Band Eigenfilters with the 48-Hedral Symmetry
 
Creator SAIFEE, Q
PATWARDHAN, PG
ADIGA, A
GADRE, VM
 
Subject fir filter design
digital-filters
wavelet bases
reconstruction
body centered cubic
cartesian cubic
constraint eigenfilter design
face centered cubic
sampling structure conversion
3d interpolation
 
Description We present a design method for designing 3D Mth band eigenfilters with 48-hedral symmetry, along with their application to sampling structure conversion of 3D signals defined on the face centered cubic (FCC) or body centered cubic (BCC) lattice to cartesian cubic (CC) lattice. While we present experimental results for FCC and BCC lattices, since these are commonly used 3D lattices, the design formulations we present are valid for other 3D lattices with 48-hedral symmetry as well. The sampling structure conversion of a signal sampled on FCC (or BCC) lattice to the CC lattice is a 3D interpolation problem, with the upsampling operation defined using the FCC (or BCC) lattice. In the design formulation for 3D eigenfilters, we impose the Mth band constraint, the so-called zero direct component (DC) leakage constraint, and the 48-hedral symmetry of the 3D filter impulse response. The Mth band constraint ensures that the original input samples are preserved at the output and the zero DC leakage results in the suppression of the zero (DC) frequency in the aliases due to the upsampling operation, thus improving the quality of the interpolated output. The symmetry results in the reduction of independent parameters in the filter design.
 
Publisher MEDKNOW PUBLICATIONS
 
Date 2011-08-18T17:08:46Z
2011-12-26T12:55:50Z
2011-12-27T05:42:52Z
2011-08-18T17:08:46Z
2011-12-26T12:55:50Z
2011-12-27T05:42:52Z
2010
 
Type Article
 
Identifier IETE JOURNAL OF RESEARCH, 56(3), 156-162
0377-2063
http://dx.doi.org/10.4103/0377-2063.67100
http://dspace.library.iitb.ac.in/xmlui/handle/10054/10078
http://hdl.handle.net/10054/10078
 
Language en