Minimum-order stable recursive filter design via the genetic algorithm approach
Wanquan Liu, Zhao Yang Dong, Cen Zhang, David John Hill · International Journal of Systems Science · 2001
In this paper, the minimum-order stable recursive filter design problem is proposed and investigated. This problem is playing an important role in pipeline implementations in signal processing. Here, the existence of a high-order stable recursive filter is proved theoretically, in which the upper bound for the highest order of stable filters is given. Then the minimum-order stable linear predictor is obtained via solving an optimization problem. In this paper, the popular genetic algorithm approach is adopted since it is a heuristic probabilistic optimization technique and has been widely used in engineering designs. Finally, an illustrative example is used to show the effectiveness of the proposed algorithm.