Volume 1 Number 3 (Sep. 2012)
Home > Archive > 2012 > Volume 1 Number 3 (Sep. 2012) >
IJCCE 2012 Vol.1(3): 200-202 ISSN: 2010-3743
DOI: 10.7763/IJCCE.2012.V1.52

On Harmonic Addition Theorem

Nay Oo and Woon-Seng Gan

Abstract—When any arbitrary number of sinusoids with same frequency but different amplitudes and phases are added together, the resultant sinusoid has the same frequency. We derive a closed form expression and provide two different approaches to prove the theorem.

Index Terms—Harmonic addition theorem, phasor addition theorem, phasor addition rule

Nay Oo is with the Department of Hearing, Speech and AudioTechnology (HSA), Fraunhofer Institute for Digital Media Technology(IDMT), Oldenburg, Germany (e-mail: nay.oo@idmt.fraunhofer.de)
Woon-Seng Gan is with School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore.

Cite: Nay Oo and Woon-Seng Gan, "On Harmonic Addition Theorem," International Journal of Computer and Communication Engineering vol. 1, no. 3, pp. 200-202 , 2012.

General Information

ISSN: 2010-3743 (Online)
Abbreviated Title: Int. J. Comput. Commun. Eng.
Frequency: Quarterly
Editor-in-Chief: Dr. Maode Ma
Abstracting/ Indexing: EI (INSPEC, IET), Google Scholar, Crossref, EBSCO, ProQuest, and Electronic Journals Library
E-mail: ijcce@iap.org
  • Jun 20, 2019 News!

    IJCCE Vol. 6, No. 3 - Vol. 7, No. 3 have been indexed by EI (Inspec) Inspec, created by the Institution of Engineering and Tech.!   [Click]

  • Dec 09, 2020 News!

    IJCCE Vol.10, No.1 is published with online version!   [Click]

  • Sep 23, 2020 News!

    IJCCE Vol.9, No.4 is published with online version!   [Click]

  • Jun 12, 2020 News!

    IJCCE Vol.9, No.3 is published with online version!   [Click]

  • Apr 22, 2020 News!

    The dois of published papers in Vol. 9, No. 1 - Vol. 9, No. 2 have been validated by Crossref.

  • Read more>>