Design of perfect reconstruction cosine-modulated QMF banks
Ying Tan, Gao Xiqi, Zhenya He · 2002
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.