Skip to main content
Top

2015 | OriginalPaper | Chapter

Accurate Calculation of the Phase Shift Angle of Sinusoidal Signals Using Trapezoidal Rule

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this work, the phase shift angle of a signal is obtained following a procedure that involves carrying out trapezoid rule numerical integration. The two required numerical integrations in this procedure define the tangent function of the phase shift angle. Accurate results (up to the 14th significant figures) are obtained using four equally spaced points (at 0°, 120°, 240° and 360°) on a periodic signal. But the procedure presented here has no limit in the amount of data points that can be used in the numerical integrations. Thus, this procedure can be used to estimate the phase shift angle when data includes noise, using as many points on a period as necessary.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Joenathan C (1994) Phase-measuring interferometry: new methods and error analysis. Appl Opt 33(19):4147–4155CrossRef Joenathan C (1994) Phase-measuring interferometry: new methods and error analysis. Appl Opt 33(19):4147–4155CrossRef
2.
go back to reference Gajda J (2003) A multipoint algorithm to estimate the phase shift angle by the signal zero-crossing method. Syst Anal Model Simul 43(12):1615–1624 Gajda J (2003) A multipoint algorithm to estimate the phase shift angle by the signal zero-crossing method. Syst Anal Model Simul 43(12):1615–1624
3.
go back to reference Aksamovic A, Konjicija S (2004) Numerical algorithm for measurement of angle phase shift for sines signal. Proceedings of the 2004 11th IEEE international conference on electronics, circuits and systems, pp. 451–454 Aksamovic A, Konjicija S (2004) Numerical algorithm for measurement of angle phase shift for sines signal. Proceedings of the 2004 11th IEEE international conference on electronics, circuits and systems, pp. 451–454
4.
go back to reference Pozrikidis C (1998) Numerical computation in science and engineering. Oxford University Press, New York, pp 333–338MATH Pozrikidis C (1998) Numerical computation in science and engineering. Oxford University Press, New York, pp 333–338MATH
5.
go back to reference MATLAB version 7.10.0. Natick, Massachusetts: The MathWorks Inc., 2010 MATLAB version 7.10.0. Natick, Massachusetts: The MathWorks Inc., 2010
Metadata
Title
Accurate Calculation of the Phase Shift Angle of Sinusoidal Signals Using Trapezoidal Rule
Author
Luis E. Monterrubio
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-09918-7_95

Premium Partners