序列锥规划方法对于群延时及L_1范数约束的数字滤波器优化设计

Optimal design of digital filter with group delay and L_1 norm constraints using sequential cone programming

该文提出了一种混合群延时及L1范数约束的有限冲激响应数字滤波器设计新方法,该方法主要采用三角不等式近似将带有非线性群延时约束条件的原L1范数滤波器优化设计问题在好的初始迭代点附近转化为序列二阶锥规划子问题进行求解。仿真结果表明:该方法可以有效的减小滤波器群延时误差,提高滤波器的优化设计性能。

This correspondence presents a new method for FIR digital filter design with mixed group delay and L1norm constraints. The main idea adopts triangle inequality approximation to transform the original Llnorm filter optimal design problem with nonlinear group delay constraint into sequential second-order cone programming framework at good initial point. Simulations are presented to illustrate the significant reduction of group delay error and the good performance of the ootimal filter design.