Linear programming design of IIR digital phase networks
Kazunori Sugahara · Electronics and Communications in Japan (Part I Communications) · 1986
Abstract This paper demonstrates that the IIR digital phase network can be designed by linear programming. The phase network is used not only to compensate the phase distortion of the signal by the filter, but it is used also in various other problems in communication area. In particular, the network with chirp characteristics is well known. There are IIR and FIR digital phase networks, but it is difficult to design completely flat amplitude characteristics for the latter. The design problem for the IIR digital phase filter has been considered as a nonlinear programming problem. By reducing this problem to that of linear programming, the optimal solution can be obtained, if it exists, without any particular consideration for the convergence of iteration or the initial values. This paper also discusses the order of the digital phase network so designed, and it is shown that the order is determined from the given design specifications. Finally, several design examples are illustrated, indicating that the proposed method is effective.