Journal ArticleDOI
Stability of general two-dimensional recursive digital filters
B. O'connor,T. Huang +1 more
Reads0
Chats0
TLDR
In this paper, a general stability preserving mapping theorem is presented which allows most recursive filters of a particular type to be mapped into any other type of recursive filter, and a number of practical stability tests are developed including one which requires the testing of several one-dimensional polynomial root distributions with respect to the unit circle.Abstract:
Two-dimensional recursive filters are defined from a different point of view. A general stability preserving mapping theorem is presented which allows most recursive filters of a particular type to be mapped into any other type of recursive filter. In particular, any type of filter can be mapped into a first-quadrant filter. This mapping is used to prove a number of general stability theorems. Among these is a theorem which relates the stability of any digital filter to its two-dimensional phase function. Furthermore, other stability theorems which are valid for any type of recursive filter are presented. Finally, a number of practical stability tests are developed including one which requires the testing of only several one-dimensional polynomial root distributions with respect to the unit circle.read more
Citations
More filters
Journal ArticleDOI
The processing of hexagonally sampled two-dimensional signals
TL;DR: Methods for the processing of two- dimensional signals which have been sampled as two-dimensional hexagonal arrays are presented and some comparisons between the two methods for representing planar data will also be presented.
Journal ArticleDOI
Statistical spatial series modelling ii: some further results on unilateral lattice processes
TL;DR: In this paper, an asymptotic theory of estimation for classes of spatial series F (x 1, · · ·, x n ), where ( x 1, · ·, x n ) varies over a regular cartesian lattice is developed.
Journal ArticleDOI
Design of sampled-data fuzzy-model-based control systems by using intelligent digital redesign
TL;DR: The power of the continuity property in its correct form is acknowledged, and would hope to see further ramifications in unravelling yet unresolved issues in multidimensional systems rather than unintended duplications.
Journal ArticleDOI
Two-dimensional autoregressive (2-D AR) model order estimation
B. Aksasse,L. Radouane +1 more
TL;DR: This correspondence extends the previous criteria to the 2-D AR model order determination and assumes the model is assumed causal, stable, and spatially invariant with p/sub 1//spl times/p/sub 2/ quarter-plane (QP) support.
Book ChapterDOI
Causal and Weakly Causal 2-D Filters with Applications in Stabilization
J. P. Guiver,Nirmal K. Bose +1 more
TL;DR: In this article, a discrete 2D scalar input/output system is described by means of an equation where F is an operator which maps doubly indexed input sequences into doubly indexed output sequences where we assume that x [m, n] and y [m and n] take values in the field of real numbers.
References
More filters
Journal ArticleDOI
A new phase unwrapping algorithm
TL;DR: A new phase unwrapping algorithm is proposed that combines the information contained in both the phase derivative and the principal value of the phase into an adaptive numerical integration scheme.
Journal ArticleDOI
Digital reconstruction of multidimensional signals from their projections
TL;DR: A tutorial review of the reconstruction problem and some of the algorithms which have been proposed for its solution, and a number of new algorithms that appear to have some advantages over previous algorithms are presented.
Journal ArticleDOI
Stability of two-dimensional recursive filters
TL;DR: In this article, a simplified version of a stability theorem due to Shanks is presented and shown to be equivalent to some results of Ansell, and several examples of stability tests are discussed.
Journal ArticleDOI
Stability and synthesis of two-dimensional recursive filters
J. Shanks,S. Treitel,J. Justice +2 more
TL;DR: Two-dimensional recursive bandpass filters as mentioned in this paper can be synthesized to approximate large varieties of desired two-dimensional pulse responses by a conformal transformation of the one-dimensional filters.
Journal ArticleDOI
Two-dimensional spectral factorization with applications in recursive digital filtering
M. Ekstrom,John W. Woods +1 more
TL;DR: In this article, the concept of spectral factorization is extended to two dimensions in such a way as to preserve the analytic characteristics of the factors, and the resulting factors are shown to be recursively computable and stable in agreement with one-dimensional (1-D) spectral factorisation.