Title :
Using nonessential singularities of the second kind in two-dimensional filter design
Author :
Bruton, L.T. ; Bartley, N.R.
Author_Institution :
Dept. of Electr. Eng., Calgary Univ., Alta., Canada
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 :
filtering and prediction theory; stability; transfer functions; two-dimensional digital filters; 2D digital filters; BIBO unstable; bounded-input/bounded-output; discrete recursive filter transfer functions; fan filters; nonessential singularities; practical-BIBO stable; second kind; two-dimensional filter design; Circuit stability; Circuits and systems; Difference equations; Filters; Frequency; Robust stability; Sufficient conditions; Transfer functions; Two dimensional displays;
Journal_Title :
Circuits and Systems, IEEE Transactions on
