Volume 4 Number 1 (Feb. 2012)
Home > Archive > 2012 > Volume 4 Number 1 (Feb. 2012) >
IJCEE 2012 Vol.4(1): 47-54 ISSN: 1793-8163
DOI: 10.7763/IJCEE.2012.V4.450

New Method for Fourier Coefficient Estimation from Irregular Samples

Predrag B. Petrović

Abstract—The paper deals with the estimation of amplitude and phase of an analogue multi-harmonic band-limited signal from irregularly spaced sampling values. To this end, assuming the signal fundamental frequency is known in advance (i.e., estimated at an independent stage), a complexity-reduced algorithm for signal reconstruction in time domain is proposed. The proposed algorithm for the calculation of the unknown parameters requires O((2M+1)2) flops, while the straightforward solution of the obtained equations takes O((2M+1)3) flops (M is the number of the harmonic components). The paper investigates the errors related to the signal parameter estimation, and there is a computer simulation that demonstrates the accuracy of these algorithms.

Index Terms—Band-limited signals; fourier coefficient estimation; analytical solutions; signal reconstruction; time.

P. B Petrović is with the Technical Faculty Čačak, 32000 Čačak, Serbia(phone: +381-32-302-748; fax: +381-32-342-101; (e-mail: predragp@tfc.kg.ac.rs).

Cite: Predrag B. Petrović, "New Method for Fourier Coefficient Estimation from Irregular Samples," International Journal of Computer and Electrical Engineering vol. 4, no. 1, pp. 47-54, 2012.

General Information

ISSN: 1793-8163 (Print)
Abbreviated Title: Int. J. Comput. Electr. Eng.
Frequency: Quarterly
Editor-in-Chief: Prof. Yucong Duan
Abstracting/ Indexing: EI (INSPEC, IET), Ulrich's Periodicals Directory, Google Scholar, EBSCO, ProQuest, and Electronic Journals Library
E-mail: ijcee@iap.org

What's New

  • Jun 03, 2019 News!

    IJCEE Vol. 9, No. 2 - Vol. 10, No. 2 have been indexed by EI (Inspec) Inspec, created by the Institution of Engineering and Tech.!   [Click]

  • Jun 03, 2019 News!

    IJCEE Vol. 11, No. 2 is available online now.   [Click]

  • Mar 20, 2019 News!

    IJCEE Vol. 11, No. 1 is available online now.   [Click]

  • Mar 20, 2019 News!

    The dois of published papers in Vol. 9, No. 1- Vol. 10, No. 4 have been validated by Crossref.

  • Dec 29, 2018 News!

    IJCEE Vol. 10, No. 4 is available online now.   [Click]

  • Read more>>