Two-Parametric Nyquist Pulses with Better Performance Based on Inverse Hyperbolic Functions

TL;DR

This paper introduces three innovative two-parametric Nyquist pulses based on inverse hyperbolic functions, offering improved performance in terms of error probability, distortion, and eye-diagram width for communication systems.

Contribution

The authors propose a novel design method for ISI-free pulses using inverse hyperbolic functions and the concept of inner and outer functions, advancing pulse shaping techniques.

Findings

Lower error probability compared to existing pulses

Smaller maximum distortion achieved

Wider eye-diagram indicating better signal quality

Abstract

In this article, three new inter-symbol interference (ISI)-free pulses with enhanced performance compared to the state-of-the-art are proposed and studied in terms of frequency and time domain characteristics. They are based on inverse hyperbolic functions and on the concept of inner and outer functions, which was first introduced by the authors. New pulses are two-parametric, i.e., their design depends only on the roll-off factor and the timing jitter parameter, and they outperform most of the well-known pulses reported in the literature, since they present lower error probability, smaller maximum distortion and wider eye-diagram.