Design of Circularly Symmetric Two-Dimensional R Lowpass Digital Filters With Constant Group Delay Using McClellan Transformations

Kiyoshi NISHIKAWA  Russell M. MERSEREAU  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E75-A   No.7   pp.830-836
Publication Date: 1992/07/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Multidimensional Signal Processing)
Category: Design and Implementation of Multidimensional Digital Filters
Keyword: 
circularly symmetric,  constant group delay,  McClellan transformation,  separable denominator,  

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Summary: 
We present a successful method for designing 2-D circularly symmetric R lowpass filters with constant group delay. The procedure is based on a transformation of a 1-D prototype R filter with constant group delay, whose magnitude response is the 2-D cross-sectional response. The 2-D filter transfer function has a separable denominator and a numerator which is obtained from the prototype numerator by means of a series of McClellan transformations whose free parameters can be optimized by successive procedure. The method is illustrated by an example.