Quasi-Intersymbol Interference (QISI) Free Pulse Shaping

This work presents a methodology to achieve pulses with reduced intersymbol interference (ISI) and with improved data transmission performance. The designed pulses are obtained through the use of the prolate spheroidal wave functions (PSWF). An optimization problem is formulated to achieve maximum time-concentrated pulses and to ensure that they are ISI-free for a limited number of symbol durations, achieving what is called quasi-intersymbol interference (QISI) free. The resulting pulse designs are compared to relevant candidate Nyquist pulse designs from the literature and achieve comparable or enhanced performance for low to high timing errors.