DocumentCode :
839789
Title :
On a novel matrix approach for linear space-invariant 2-D deconvolutions
Author :
Incertis, F.
Author_Institution :
IBM Madrid Scientific Center, Madrid, Spain
Volume :
27
Issue :
4
fYear :
1982
fDate :
8/1/1982 12:00:00 AM
Firstpage :
981
Lastpage :
984
Abstract :
The linear and space-invariant convolution 
of a matrix 
with the kernel (impulse response, point spread function) matrix 
is modeled as a linear matrix equation of the form 
. Under periodicity assumptions on matrix analytical and numerical solution methods of the 2-D inverse filtering problem are presented jointly with an analysis of the computational complexity and convergence conditions. As a consequence of this new matrix approach, the discrete Fourier transform (DFT) method is derived as a particular case of more powerful algebraic operators to solve general matrix equations.
of a matrix with the kernel (impulse response, point spread function) matrix is modeled as a linear matrix equation of the form . Under periodicity assumptions on matrix analytical and numerical solution methods of the 2-D inverse filtering problem are presented jointly with an analysis of the computational complexity and convergence conditions. As a consequence of this new matrix approach, the discrete Fourier transform (DFT) method is derived as a particular case of more powerful algebraic operators to solve general matrix equations.Keywords :
Deconvolution; Matrices; Multidimensional signal processing; Bismuth; Computational complexity; Convergence of numerical methods; Convolution; Deconvolution; Discrete Fourier transforms; Filtering theory; Information analysis; Integral equations; Kernel;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1982.1103043
Filename :
1103043
Link To Document :
