A Parameterization of Band-Limited Nyquist Pulses

Abstract

A novel parameterization of band-limited Nyquist pulses is presented, which allows for an elegant classification of such pulses. Besides this, the new parametric representation is used for a deterministic sensitivity analysis of a communication system with almost no inter-symbol interference in the presence of timing jitters. A treatment as a periodically linear time-variant system results in a frequency domain based formulation of Nyquist condition, being advantageously applicable to pulse shaping filters with finite impulse response.