基于二阶锥规划法的混合滤波器组最优化设计  

A Second-Order Cone Programming Methodology for Hybrid Filter Banks Optimization Design

作　　者：蔡振浩[1] 于宏毅[1] 

机构地区：[1]信息工程大学信息工程学院,郑州450002

出　　处：《北京邮电大学学报》2011年第5期124-127,共4页Journal of Beijing University of Posts and Telecommunications

基　　金：国家自然科学基金项目(60872043)

摘　　要：针对准确重构混合滤波器组(PR-HFB)的设计问题,给出了以综合滤波器组系数为未知变量的线性方程求解模型,并分别就一致方程和非一致方程的情况,讨论了方程组通解和相应的重构误差下界.针对一致方程唯一解的求解问题,通过以综合滤波器组阻带能量最小化为目标函数、HFB准确重构作为约束条件,提出一种基于二阶锥规划法的PR-HFB设计算法,该算法能有效解得方程组全局最优解,并可以推广到方程最小范数解的求解应用中.仿真结果表明,算法能有效计算得到满足准确重构的HFB唯一解.A linear equation system for designing hybrid filter banks （HFB） is presented on the basis of solving the coefficients of the synthesis filter banks derived from the perfect reconstruction （PR） conditions. The relationtions between the PR conditions and each different solution situations are discussed regarding the consistent and inconsistent equation case. The general solution and the lower bound of the reconstruction error are given. A second order cone programming based methodology for designing PR-HFB is proposed to get the unique solution with the constrains of minimizing the stopband energy of the synthesis filter banks, which can also be used to calculate the minimum norm solution of the equation. Simulations show that this approach can get the unique solution and satisfy the system PR conditions effectively.

关 键 词：混合滤波器组 准确重构 二阶锥规划 

分 类 号：TN911.72[电子电信—通信与信息系统]