Using nonessential singularities of the second kind in two-dimensional filter design
- 1 January 1989
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuits and Systems
- Vol. 36 (1) , 113-116
- https://doi.org/10.1109/31.16572
Abstract
It is shown that nonessential singularities of the second kind are not necessarily obstacles to the design of well-behaved (practical bounded-input/bounded-output (BIBO) stable) two-dimensional (2-D) discrete recursive filter transfer functions. For some widely utilized classes of filters, such as fan filters, it is shown that the existence of a nonessential singularity of the second kind on the unit bidisc is in fact required and, further, such filters, although BIBO unstable, can be designed to be practical-BIBO stable and well-behaved in practical applications.Keywords
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