A Convex Optimization Based Method to Design Two Dimensional Orthogonal Wavelet Filter Banks
Zhang Hai-cheng · Jisuanji fangzhen · 2010
The traditional dividable two-dimensional filters do not have the unique signal frequency response characteristics. This paper presents a new theory based on convex optimization inseparable two-dimensional two-channel orthogonal wavelet filter design methods. The method uses multi-phase matrix to approximate the norm of two-dimensional reconstruction filter conditions to obtain a convex optimization problem,and then calculate the convex optimization problem using interior point method with the global optimal solution as the initial value in the second step of the non-linear optimization process. Using a standard non-linear iterative algorithm to obtain the original optimal solution. Simulation results show that the optimum obtained by the filter has good frequency response characteristics and optimal solution of the.original problem