A novel efficient algorithm for stability test by continued fraction expansion with application to 2-D digital filters

摘要

Based on a theorem on a continued fraction expansion of complex discrete reactance functions, an algorithm for the stability test of digital filters directly in the z-domain is derived. The algorithm is formulated in a table form which is similar to the Marden-Jury table but shows some more interesting numerical aspects. Finally, the application of the algorithm to the 2-D stability test is briefly discussed.