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Computer-aided approximation of circularly symmetric two-dimensional filters obtained by starting from separable 1-D transfer functions

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3 Author(s)
Ramachandran, V. ; Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Que., Canada ; Sitharam, S. ; Gargour, C.S.

It is well known that perfectly circularly-symmetric 2-D digital filters cannot be implemented in practice. This paper makes an attempt to develop computer-aided approximation of circularly-symmetric 2-D digital filters. The starting point is the configuration with separable 1-D transfer functions in the forward path along with a multiplier k in the feedback path. Computer programs are developed so that when the transfer functions are prescribed, one can obtain the range of possible values of k for which the error does not exceed a prescribed value of cc percent. Different types of low-pass filters and other types of filters like high-pass, band-pass and band-elimination filters are considered as examples.

Published in:

Circuits and Systems, 2002. MWSCAS-2002. The 2002 45th Midwest Symposium on  (Volume:3 )

Date of Conference:

4-7 Aug. 2002