A Novel Method Satisfying Continuous Constraints in Design of Weighted Least Square Complex Laguerre Filters Subject to Magnitude and Phase Constraints

Design of peak constraint weighted least square Laguerre filters with complex coefficients is of interest. The complex filter design problem has been converted to the equivalent real coefficient filter design problem. Then, the problem is formulated as a continuous semi-infinite quadratic programming problem. The solution is obtained via the Lagrangian dual problem in such a way that it satisfies all the infinite number of constraints of the problem. Eventually, a numerical example is presented to show the accuracy of the proposed algorithm