Discrete optimization of digital filters using Gaussian adaptation and quadratic function minimization
Gregor Kjellström, Lars Taxén, Per Lindberg · IEEE Transactions on Circuits and Systems · 1987
In this paper, a new strategy for discrete optimization of a functionF(x)is presented. LetAbe the region in then-dimensional parameter space, whereF(x)is less than some constant. First,Ais located and characterized by a Gaussian search process, called Gaussian adaptation. This makes it possible to approximate the behavior ofF(x). overAby a quadratic functionQ(x).Q(x)is then optimized for theNbest discrete solutions using a branch and bound technique. Finally, these points are evaluated for the bestF(x)points. By various digital filter examples it will be demonstrated that the new method is more capable of finding good solutions than methods presented so far.