An iterative quadratic programming method for multirate filter design

Author

Mo, Y.S. ; Lu, W.-S. ; Antoniou, A.

Author_Institution

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

Volume

5

fYear

1998

fDate

31 May-3 Jun 1998

Firstpage

41

Abstract

An iterative quadratic programming method for multirate filter design is described. The design problem is formulated as a 4th-order nonlinear optimization problem in which the objective function is a weighted sum of a reconstruction term and an aliasing-error term. Constraints on the filter´s frequency response in the passband and stopband are imposed as a set of linear inequalities. The optimization problem is solved by iteratively minimizing a quadratic function subject to a set of linear constraints. Explicit formulas for evaluating the minimums of these quadratic functions are described, which lead to an efficient and fast algorithm. An example is included to illustrate the design method

Keywords

filtering theory; frequency response; iterative methods; quadratic programming; 4th-order nonlinear optimization problem; aliasing-error term; frequency response; iterative quadratic programming method; linear constraints; multirate filter design; objective function; quadratic functions; Constraint optimization; Design optimization; Digital filters; Finite impulse response filter; Frequency response; Image reconstruction; Iterative methods; Nonlinear filters; Passband; Quadratic programming;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1998. ISCAS '98. Proceedings of the 1998 IEEE International Symposium on

Conference_Location

Monterey, CA

Print_ISBN

0-7803-4455-3

Type

conf

DOI

10.1109/ISCAS.1998.694403

Filename

694403