Title :
Extension of the Toeplitz theorem to the 2-D case and its application to information theory
Author :
Cheng, F. ; Venetsanopoulos, A.N.
Author_Institution :
Dept. of Electr. Eng., Toronto Univ., Ont., Canada
Abstract :
The Toeplitz theorem is extended to the two-dimensional case. The relation between a 2-D spectral function Φ(ω1,ω2) is clarified using the extended theorem. As an application example of the extended Toeplitz theorem, the authors prove a theorem providing the relation between the entropy change of a 2-D signal passed through a 2-D system and the distribution of the eigenvalues of the block Toeplitz matrix corresponding to the system
Keywords :
information theory; 2-D case; 2-D signal; 2-D spectral function; Toeplitz theorem extension; application example; block Toeplitz matrix; eigenvalues distribution; entropy change; extended Toeplitz theorem; information theory; two-dimensional case; Computer aided software engineering; Eigenvalues and eigenfunctions; Entropy; Equations; H infinity control; Information theory; Linear systems; Signal processing; Vectors;
Conference_Titel :
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location :
New Orleans, LA
DOI :
10.1109/ISCAS.1990.112515
