Stability analysis of multidimensional digital filters.

Title: Stability analysis of multidimensional digital filters.
Identifier: AAI3083701
identifier: 3083701
Creator: Potievsky, Vadim.
Contributor: Adviser: L. Roytman
Date: 2003
Language: English
Publisher: City University of New York.
Subject: Engineering, Electronics and Electrical
Abstract: This thesis presents two new results concerning the stability of multidimensional digital filters.;We considered an open problem concerning a class of N-D filters with nonessential singularities of the second kind, described by the real rational transfer function G(z1, z2,...,zN) = P(z1,z2,..., zN)/Q(z1, z2,...,zN), in the region UN--UN.;We applied transformations to reduce the transfer function to the 2-D case, and then utilized the 2-D stability conditions to obtain necessary conditions for stability.;We considered the problem of BIBO stability of three-dimensional linear shift-invariant filters, in the presence of nonessential singularities of the second kind. We derived necessary and sufficient conditions for boundedness, l1 and l2 stabilities of a function G = P/Qn, where P/Q has simple NSSK of the second kind in the region U3-- U3.
Type: dissertation
Source: PQT Legacy CUNY.xlsx
degree: Ph.D.