Title :
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
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;
Conference_Titel :
Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on
Print_ISBN :
0-7803-3583-X
DOI :
10.1109/ISCAS.1997.612817
