Improving Energy Efficiency of Finite Time FTN Pulses Detection by Choosing Optimal Envelope Shape

Abstract

Numerous works are dedicated to Faster-than-Nyquist (FTN) signaling providing symbol rate higher than “Nyquist limit” without energy losses. It is necessary to use infinite pulses or pulses with rather long duration for FTN signaling. Using limited duration of FTN pulses allows to simplify the structure of transceiver but causes challenges with measurement of spectral efficiency. Finite time optimal pulses with controlled level of intersymbol interference (ISI) may be used for FTN signaling. In this work it is proposed to solve optimization problem taking into account limitation on Euclidean distance between different realizations of two random FTN signals. Obtained optimal FTN signals provide the gain in energy efficiency about 2 dB and 4 times higher spectral efficiency comparing to the known spectrally efficient signals based on RRC pulses.