Title :
Further simplification to 2-D filter stability test
Author_Institution :
Dept. of Electr. Eng., Sydney Univ., NSW, Australia
fDate :
4/1/1997 12:00:00 AM
Abstract :
A further simplification to the stability test of the characteristic polynomial D(x1,x2) of a two-dimensional (2-D) filter is achieved by the following two modifications in the test procedure. At first, the modified Jury table is used to construct the polynomial array and then the real form of Siljak´s theorem applied. Secondly, the positivity test on Δn , the last entry of the polynomial array, is further reduced to tests on its factors D(x1,1), D(x1,-1) and Δ Δn-1-(x1), which are of much lower orders in x1
Keywords :
circuit stability; circuit testing; determinants; polynomials; two-dimensional digital filters; 2-D filter stability test; Schur-Cohn determinant; Siljak theorem; characteristic polynomial; modified Jury table; polynomial array; positivity test; simplification; Band pass filters; Capacitors; Circuit simulation; Circuit stability; Circuit testing; Circuit theory; Notice of Violation; Operational amplifiers; Transfer functions; Voltage;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
