The operational calculus model for the nth-order backward difference

Journal Title: Scientific Journal of Polish Naval Academy - Year 2015, Vol 202, Issue 3

Abstract

In this paper, there has been constructed such a model of the non-classical Bittner operational calculus, in which the derivative is understood as the backward difference ∇[sub]n[/sub]{x(k)} := {x(k) – x(k – n)}. Next, the presented model has been generalized by considering the operation ∇[sub]n,b[/sub]{x(k)} := {x(k) – b x(k – n)}, where b ∈ C {0}.

Authors and Affiliations

Hubert Wysocki

Keywords

Related Articles

Experimental investigations to determine the impulse response of a radio-communication channel

This article presents a method for determining the impulse response of a radio-communication channel using a signal modulated with a pseudorandom signal. It includes examples of impulse responses determined for real prop...

Deduplication of tracked objects position data at single observation point of a Vessel Monitoring System

Vessel Monitoring System (VMS) play a major role in safety navigation. In most cases they are based on two data sources, namely Automatic Identification System (AIS) and Automatic Radar Plotting Aids (ARPA). Integration...

The prospect for the launche of a mini unmanned aerial vehicle from an unmanned surface vehicle

Due to the growing interest in the problems of cooperation among unmanned vehicles, in the article the proposition of the system for launching a mini unmanned aerial vehicle (mini-UAV) from an unmanned surface vehicle (U...

The principles of classified Information Security Management System organisation within the realisation of European Defence Agency research projects (personnel and facility security aspects)

The article presents the aspects of personnel and facility security principles for classified Information Security Management System (ISMS) implemented within the realization of European Defence Agency research and techn...

Zagrożenia bioterrorystyczne — charakterystyka oraz możliwości przeciwdziałania

W artykule przedstawiono zagrożenia związane z bioterroryzmem. Zaprezentowano rys historyczny oraz opisano możliwe drogi przeprowadzania takich ataków. Sklasyfikowano najgroźniejsze patogeny i zaprezentowano najniebezpie...

Download PDF file
  • EP ID EP78668
  • DOI 10.5604/0860889X.1178573
  • Views 136
  • Downloads 0

How To Cite

Hubert Wysocki (2015). The operational calculus model for the nth-order backward difference. Scientific Journal of Polish Naval Academy, 202(3), 75-88. https://europub.co.uk./articles/-A-78668