An iterative algorithm for the design of 2-D nonseparable diamond-shaped filter banks

Author

Xu, H. ; Lu, W.-S. ; Antoniou, A.

Author_Institution

Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada

Volume

2

fYear

1994

fDate

3-5 Aug 1994

Firstpage

785

Abstract

An iterative method for the design of two-dimensional (2-D) nonseparable diamond-shaped filter banks is proposed. Matrix techniques are used to re-formulate a least-squares objective function as a standard fourth-order function of the filter coefficients. A linearization procedure is then applied to obtain a modified quadratic objective function. As a result, the major step in the iterative algorithm proposed is to minimize a standard unconstrained quadratic function, which can be done with high computation efficiency. Compared with other existing design methods, our method is a direct approach that entails more flexibility in achieving design specifications and improved computational efficiency, as is demonstrated by design examples

Keywords

filtering theory; iterative methods; linearisation techniques; matrix algebra; two-dimensional digital filters; 2D nonseparable filter banks; computational efficiency improvement; design method; diamond-shaped filter banks; filter coefficients; iterative algorithm; least-squares objective function; linearization procedure; matrix techniques; modified quadratic objective function; standard fourth-order function; two-dimensional filters; Algorithm design and analysis; Channel bank filters; Computational efficiency; Design methodology; Filter bank; Frequency; Iterative algorithms; Iterative methods; Passband; Prototypes; Two dimensional displays;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1994., Proceedings of the 37th Midwest Symposium on

Conference_Location

Lafayette, LA

Print_ISBN

0-7803-2428-5

Type

conf

DOI

10.1109/MWSCAS.1994.518932

Filename

518932