Further simplification to 2-D filter stability test
Xiheng Hu · IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing · 1997
A further simplification to the stability test of the characteristic polynomial D(x/sub 1/,x/sub 2/) 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 /spl Delta//sub n/, the last entry of the polynomial array, is further reduced to tests on its factors D(x/sub 1/,1), D(x/sub 1/,-1) and /spl Delta//sub /spl Delta/n-1//sup -/(x/sub 1/), which are of much lower orders in x/sub 1/.