DocumentCode :
1365180
Title :
A singular value decomposition derivation in the discrete frequency domain of optimal noncentro-symmetric 2-D FIR filters
Author :
Hanna, Magdy T.
Author_Institution :
Dept. of Eng. Math. & Phys., Cairo Univ., Fayoum, Egypt
Volume :
46
Issue :
5
fYear :
1998
fDate :
5/1/1998 12:00:00 AM
Firstpage :
1397
Lastpage :
1402
Abstract :
A new derivation is presented for the least squares solution of the design problem of two-dimensional (2-D) finite impulse response (FIR) filters by minimizing the Frobenius norm of the difference between the matrices of the ideal and actual frequency responses sampled at the points of a frequency grid. The mathematical approach is based on the singular value decomposition (SVD) of two complex transformation matrices. Interestingly, the designed filter is proved to be zero-phase if the ideal filter is so without assuming any kind of symmetry
Keywords :
FIR filters; frequency-domain synthesis; least squares approximations; matrix algebra; minimisation; singular value decomposition; two-dimensional digital filters; Frobenius norm; complex transformation matrices; design; discrete frequency domain; finite impulse response filters; frequency grid; frequency responses; least squares solution; optimal noncentro-symmetric 2-D FIR filters; singular value decomposition derivation; zero-phase filter; Equations; Finite impulse response filter; Frequency domain analysis; Frequency response; Least squares methods; Matrix decomposition; Signal sampling; Singular value decomposition; Symmetric matrices; Two dimensional displays;
fLanguage :
English
Journal_Title :
Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1053-587X
Type :
jour
DOI :
10.1109/78.668801
Filename :
668801
Link To Document :
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