Mimimax Restricted Range Approximation and Its Application to the Design of Nonrecursive Digital Filters.

摘要

The design of nonrecursive digital filters is effected by means of minimax approximation in which the approximation is constrained to lie between two given restraining curves. The computational method is a multiple exchange algorithm which is the analogue of the Remes exchange algorithm. Efficient formulas are derived for the implementation of the algorithm. For an important prototype problem the effect of imposing the constraints,in terms of increased error,is studied mathematically. Numerical examples are discussed. (Author)