A new approach to the design of pulse shaping FIR filters

Abstract

An efficient method is presented for designing pulse shaping FIR digital filters in this paper. It is known that for avoiding intersymbol interference (ISI), certain time-domain constraints for designing optimal pulse shaping filters should be considered. In this paper, the Lagrange multiplier approach is applied, and the constraints are easy to incorporate into the design procedures, which makes the method attractive for designing pulse shaping filters. Comparing with the existing methods, the method is simple and effective. Numerical design examples such as Nyquist filters and partial response filters are presented to demonstrate the usefulness and flexibility of the method.