Magnitude Design of FIR Evidence Filters with Prescribed Transition Rolloff Using Bisection and ICMEE

Evidence filters have found a wide range of applications in military surveillance, environment monitoring, homeland security, etc. Designing evidence filters is challenging because of the nonnegative constraint on its impulse response. A new algorithm is proposed in this paper for the magnitude design of evidence filters with prescribed transition rolloff. It uses a bisection method to convert the design problem into a series of constrained minimax magnitude error subproblems, which are then solved by using an iterative constrained minimax elliptic error (ICMEE) method. Simulation examples demonstrate the effectiveness of the proposed design method for evidence filters.