Design of Complex Coefficient WLS FIR Filter with Reduced Group Delay Using Second-Order Cone Programming
Qingsong Zhou, Zhong-Rui Huang, Qing-Lin Ge, QU Jin-you · International Conference on Information Security · 2011
This correspondence presents a new method for the optimal design of complex coefficient weighted least square (WLS) FIR filter with reduced group delay using independent magnitude and phase constraints. Given fixed phase errors, we apply complex-error constraint and linear inequality constraint to the upper and lower bounds of the magnitude, respectively. By transforming the non-convex filter design problem into a second-order cone programming model, the method improves the precision of magnitude constraint. In addition, the first derivative constraint of phase error was introduced for damping the large oscillation of group delay at the edges of passband. Simulations are presented to illustrate the significant reduction of the group delay error, the magnitude error, and the mean square error.