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Wireless Communications and Mobile Computing
Volume 2017 (2017), Article ID 7071648, 10 pages
https://doi.org/10.1155/2017/7071648
Research Article

Quick Performance Assessment of Improved Nyquist Pulses

Department of Telecommunications, “Gheorghe Asachi” Technical University of Iaşi, Bd. Carol I, No. 11A, 700506 Iaşi, Romania

Correspondence should be addressed to Felix Diaconu; or.isaiut.itte@unocaidf

Received 7 July 2016; Accepted 20 September 2016; Published 11 January 2017

Academic Editor: Javier Del Ser

Copyright © 2017 Nicolae Dumitru Alexandru and Felix Diaconu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An explanation is proposed for the improved behavior of the improved Nyquist pulses with an asymptotic decay rate of when sampled with a timing offset. Three figures of merit that indicate the energy distribution into the sidelobes of the time response and allow a quick assessment of their performance in terms of error probability when the impulse response is sampled with a timing error have been proposed and verified on several improved Nyquist pulses reported in the literature. In order to check the validity of the proposed figures of merit a novel family of Nyquist pulses denoted as power sine was introduced. Using the proposed approach the design process was expedited as the volume of necessary calculations was significantly decreased. To explain the difference in close pulse performance a figure of merit based on limited ISI distortion was introduced.