Skip to main content
Top
Published in: Measurement Techniques 7/2019

20-11-2019 | RADIO MEASUREMENTS

Digital Method for Determining the Initial Phase of a Harmonic Signal at a Sampling Frequency Less Than the Nyquist Frequency

Published in: Measurement Techniques | Issue 7/2019

Log in

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

search-config
loading …

Abstract

A digital method is proposed for determining the initial phase of a harmonic signal at a sampling frequency less than the Nyquist frequency. The method includes sampling and quantizing the original signal using two analog-to-digital converters. The converters operate at two different frequencies less than the Nyquist frequency. The digital method for determining the initial phase of the harmonic signal is implemented in software in the MATLAB environment and in hardware on the Xilinx ZYNQ-7000 SoC platform. This method allows one to determine the initial phase of the harmonic signal from samples made at a frequency less than ten times the Nyquist frequency.

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 Yu. G. Sosulin, Theoretical Foundations of Radar and Radio Navigation: Textbook, Radio i Svyaz, Moscow (1992). Yu. G. Sosulin, Theoretical Foundations of Radar and Radio Navigation: Textbook, Radio i Svyaz, Moscow (1992).
2.
go back to reference Yu. V. Kol’tsov, “Industrial super-high-speed signal converters: ADC and DAC,” Usp. Sovrem. Radioelectr., No. 1, 64–77 (2016). Yu. V. Kol’tsov, “Industrial super-high-speed signal converters: ADC and DAC,” Usp. Sovrem. Radioelectr., No. 1, 64–77 (2016).
3.
go back to reference R. I. Kolotushkin, Patent 2463701 RF, “Digital method and device for determining the instantaneous phase of the adopted implementation of a harmonic or quasi-harmonic signal,” Izobret. Polezn. Modeli, No. 28 (2012). R. I. Kolotushkin, Patent 2463701 RF, “Digital method and device for determining the instantaneous phase of the adopted implementation of a harmonic or quasi-harmonic signal,” Izobret. Polezn. Modeli, No. 28 (2012).
4.
go back to reference B. N. Vol’fovskii, Patent 2486529 RF, “Method of joint measurement of frequency, amplitude, phase and initial phase,” Izobret. Polezn. Modeli, No. 18 (2013). B. N. Vol’fovskii, Patent 2486529 RF, “Method of joint measurement of frequency, amplitude, phase and initial phase,” Izobret. Polezn. Modeli, No. 18 (2013).
5.
go back to reference A. B. Sergienko, Digital Signal Processing: Textbook, Piter, St. Petersburg (2006), 2nd ed. A. B. Sergienko, Digital Signal Processing: Textbook, Piter, St. Petersburg (2006), 2nd ed.
7.
go back to reference V. S. Tutygin, Patent 2654945 RF, "Digital method for determining the phase of a harmonic signal," Izobret. Polezn. Modeli, No. 15 (2018). V. S. Tutygin, Patent 2654945 RF, "Digital method for determining the phase of a harmonic signal," Izobret. Polezn. Modeli, No. 15 (2018).
8.
go back to reference V. S. Tutygin, “Determination of the phase of a harmonic signal at a sampling frequency below the Nyquist frequency,” GNII Natsrazvitie-2017: Conf. Proc., GNII Natsrazvitie, St. Petersburg (2017), pp. 85–88. V. S. Tutygin, “Determination of the phase of a harmonic signal at a sampling frequency below the Nyquist frequency,” GNII Natsrazvitie-2017: Conf. Proc., GNII Natsrazvitie, St. Petersburg (2017), pp. 85–88.
Metadata
Title
Digital Method for Determining the Initial Phase of a Harmonic Signal at a Sampling Frequency Less Than the Nyquist Frequency
Publication date
20-11-2019
Published in
Measurement Techniques / Issue 7/2019
Print ISSN: 0543-1972
Electronic ISSN: 1573-8906
DOI
https://doi.org/10.1007/s11018-019-01671-5

Other articles of this Issue 7/2019

Measurement Techniques 7/2019 Go to the issue