A closed-form least squares solution to the discrete frequency domain design problem of two-dimensional FIR filters

Author

Hanna, Magdy T.

Author_Institution

Dept. of Electr. Eng., Bahrain Univ., Isa Town, Bahrain

Volume

2

fYear

1995

fDate

9-12 May 1995

Firstpage

1252

Abstract

Based on a discrete frequency domain formulation of the design problem of two-dimensional FIR filters, a closed form expression is derived for the matrix of filter coefficients without imposing any assumptions of having a symmetric, antisymmetric or zero-phase frequency response. The matrix in question is derived by minimizing the Frobenius norm of the difference between the matrices of the actual and ideal frequency responses at the points of a frequency grid. The method has the advantages of conceptual and computational simplicity

Keywords

FIR filters; filtering theory; frequency response; frequency-domain synthesis; least squares approximations; matrix algebra; two-dimensional digital filters; Frobenius norm minimisation; closed-form least squares solution; computational simplicity; discrete frequency domain design; filter coefficients matrix; frequency grid; frequency response; two-dimensional FIR filters; Cities and towns; Closed-form solution; Equations; Finite impulse response filter; Frequency domain analysis; Frequency response; Instruction sets; Least squares methods; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on

Conference_Location

Detroit, MI

ISSN

1520-6149

Print_ISBN

0-7803-2431-5

Type

conf

DOI

10.1109/ICASSP.1995.480466

Filename

480466