Optimal design of complex coefficient finite impulse response digtal filter with reduced group delay using second-order cone programming
Qingsong Zhou, Zhang Jian-yun, Xiaobo Li, Chunsheng Liu · Journal of Circuits and Systems · 2011
This correspondence presents a new method for optimal design of complex coefficient equiripple finite impulse response digital filter with reduced group delay using independent magnitude and phase constraints.The complex circle and linear inequality constraints for upper and lower bound of magnitude are considered respectively under some phase error.The method improves the precision of magnitude constraint,and transforms the nonconvex filter design problem into second-order cone programming.The first derivative constraint of phase error is introduced for restricting the large oscillation of group delay near passband edges.Simulations are presented to illustrate the significant reduction of group delay error,the minimal magnitude error and the good performance of the optimal filter design.