Title :
Solution of the two-dimensional spectral factorization problem
Author :
Lawton, Wayne M.
Author_Institution :
California Institute of Technology, Pasadena, CA, USA
Abstract :
An approximation theorem is proven which solves a classic problem in two-dimensional (2-D) filter theory. The theorem shows that any continuous two-dimensional spectrum can be uniformly approximated by the squared modulus of a recursively stable finite trigonometric polynomial supported on a nonsymmetric half-plane.
Keywords :
Digital filters; Equations; Filtering theory; Graph theory; Polynomials; Propulsion; Space technology; Two dimensional displays;
Journal_Title :
Proceedings of the IEEE
DOI :
10.1109/PROC.1985.13148
