Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 543457, 15 pages
Research Article

Detection of Short-Step Pulses Using Practical Test-Functions and Resonance Aspects

Alexandru Toma and Cristian Morarescu

Corner Soft Technologies, 23 George Macarovici St., Bucharest 6, 060142, Romania

Received 16 May 2008; Accepted 3 June 2008

Academic Editor: Ming Li

Copyright © 2008 Alexandru Toma and Cristian Morarescu. 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.


An important aspect in modeling dynamic phenomena consists in measuring with higher accuracy some physical quantities corresponding to the dynamic system. Yet for measurements performed on limited time interval at high working frequency, certain intelligent methods should be added. The high working frequency requires that the measurement and data processing time interval should be greater than the time interval when the step input is received, so as to allow an accurate measurement. This paper will show that an intelligent processing method based on oscillating second-order systems working on limited time interval can differentiate between large step inputs (which are active on the whole limited time interval) and short step inputs (which are active on a time interval shorter than the limited working period). Some resonance aspects (appearing when the input frequency is close to the working frequency of the oscillating second-order system) will be also presented.