Design of optimal linear phase FIR filters by a semi-infinite programming technique

Abstract

The topic of this paper is the design of optimal linear phase FIR filters by means of semi-infinite programming technique. The filters are specified primarily in the frequency domain and can be additionally constrained with respect to the time domain. The new method allows constrained and unconstrained minimax- and also least-squares designs. In this way, it completely substitutes several other current methods which allows the filter designer to develop a large variety of filter designs by using a single computer program. Highly accurate solutions with up to around 2000 filter coefficients demonstrate several of the abilities of the new method.