Design of perfect reconstruction cosine-modulated QMF banks

Author

Ying, Tan ; Xiqi, Gao ; Zhenya, He

Author_Institution

Dept. of Radio Eng., Southeast Univ., Nanjing, China

Volume

4

fYear

1997

fDate

9-12 Jun 1997

Firstpage

2441

Abstract

The design problem of cosine-modulated QMF banks that satisfy the perfect-reconstruction (PR) property has been formulated as a quadratic constrained least-squares (QCLS) minimization problem in which all constrained matrices of the QCLS optimization problem are symmetrical and positive definite. In order to efficiently solve this QCLS optimization problem, we construct a cost function which is a convex function of our desired prototype filter coefficients. So, all its minimizers are global minimizers. Results of computer simulations are presented to support our derivatives and analyses

Keywords

filtering theory; least squares approximations; matrix algebra; minimisation; quadrature mirror filters; constrained matrices; convex function; cosine-modulated QMF banks; cost function; design problem; global minimizers; least-squares minimization problem; optimization problem; perfect reconstruction QMF banks; prototype filter coefficients; quadratic constrained LS minimization; Attenuation; Constraint optimization; Cost function; Design methodology; Filter bank; Image reconstruction; Lattices; Prototypes; Quantum cascade lasers; Signal processing;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on

Print_ISBN

0-7803-3583-X

Type

conf

DOI

10.1109/ISCAS.1997.612817

Filename

612817