An investigation of transmission properties of Xia pulses

A family of pulses has been reported by Xia (see IEEE Trans. on Commun., vol.45, no.10, p.1157-8, 1997) that are intersymbol interference (ISI)-free with and without matched filtering. Reportedly, such pulses are important for systems where both matched filter and unmatched receivers are used. The transmission characteristics of these pulses are compared to the more commonly used raised cosine pulse for three different receiver scenarios. Comparisons between the two families of pulses are made with eye diagrams and by determining the average probability of bit error accounting for noise, intersymbol interference (ISI), and timing error.