Two-dimensional FlR filter design using matrix dilation approach

Author

Aravena, Jorge L. ; Banker, Brad

Author_Institution

Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA

Volume

48

Issue

7

fYear

2000

fDate

7/1/2000 12:00:00 AM

Firstpage

2074

Lastpage

2082

Abstract

This paper develops an approach for the optimal design of two-dimensional (2-D) finite impulse response (FIR) filters based on the minimization of a new performance index. The approach gives analytical expressions for the optimal solution and offers a two-parameter family of suboptimal filters. It is shown that the conventional least square solutions is a member of this family. The approach is based on a result in linear algebra, and used in robust control theory, known as the dilation equation. An efficient numerical algorithm for solving the filter design problem using the dilation equation is proposed, and some techniques for choosing the design parameters are discussed. Finally, some examples are shown illustrating the flexibility of the design using the new approach

Keywords

FIR filters; circuit optimisation; least squares approximations; linear algebra; matrix algebra; two-dimensional digital filters; 2D FlR filter design; analytical expressions; contraction matrix; design parameters selection; dilation equation; efficient numerical algorithm; error matrix; finite impulse response filters; least square solutions; linear algebra; matrix dilation; maximum singular value; minimization; optimal design; optimal solution; performance index; robust control theory; suboptimal filters; two-parameter family; Algorithm design and analysis; Equations; Finite impulse response filter; Frequency response; Least squares methods; Linear algebra; Performance analysis; Robust control; Signal processing algorithms; Two dimensional displays;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.847791

Filename

847791