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A singular value decomposition derivation in the discrete frequency domain of optimal noncentro-symmetric 2-D FIR filters

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1 Author(s)
Hanna, M.T. ; Dept. of Eng. Math. & Phys., Cairo Univ., Fayoum, Egypt

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

Published in:

Signal Processing, IEEE Transactions on  (Volume:46 ,  Issue: 5 )

Date of Publication:

May 1998

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