Spectra calculation of CPM signals

Authors

  • Микола Васильович Захарченко Odessa National Academy of Telecommunications named after A.S. Popov Kuznechnaya str. 1, Odessa, 65029, Ukraine, Ukraine https://orcid.org/0000-0001-8946-7798
  • Дмитро Юрійович Ільїн Odessa National Academy of Telecommunications named after A.S. Popov Kuznechnaya str. 1, Odessa, 65029, Ukraine, Ukraine
  • Жамал Аріф Торк Odessa National Academy of Telecommunications named after A.S. Popov Kuznechnaya str. 1, Odessa, 65029, Ukraine, Ukraine
  • Олександр Миколайович Рябуха Odessa National Academy of Telecommunications named after A.S. Popov Kuznechnaya str. 1, Odessa, 65029, Ukraine, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2012.5242

Keywords:

Frequency modulation with continuous phase, fast Fourier transform, the partial signal of class 4, FM signals spectra

Abstract

The article suggests a method for the spectra calculation of signals of frequency modulation (FM) with continuous phase, using a fast Fourier transform (FFT). The problem of spectra compactness of FM with continuous phase vibrations is solved by application of the partial coding with smooth phase change of modulating signals. Linking the numerical characteristics of the energy spectrum of FM with continuous phase signal with the corresponding characteristics of instantaneous frequency, the energy spectrum can be calculated. The Fourier series represent information component of the total phase, and the coefficients of the series are calculated using the discrete Fourier transform, implemented on the basis of the FFT. The obtained formulae allow us to estimate the symmetry of the amplitude and phase spectra of the synthesized FM with continuous phase signals at specific frequencies. The suggested method can be applied to assess distortions of the amplitude-frequency characteristic and phase-frequency variations at modeling of real radio sections

Author Biographies

Микола Васильович Захарченко, Odessa National Academy of Telecommunications named after A.S. Popov Kuznechnaya str. 1, Odessa, 65029, Ukraine

Doctor of Technical Sciences, Professor, Vice Rector of Academic work

Department of Information Security and Data Transmission

Дмитро Юрійович Ільїн, Odessa National Academy of Telecommunications named after A.S. Popov Kuznechnaya str. 1, Odessa, 65029, Ukraine

PhD, Associate Professor

Department of Information Security and Data Transmission

Жамал Аріф Торк, Odessa National Academy of Telecommunications named after A.S. Popov Kuznechnaya str. 1, Odessa, 65029, Ukraine

Postgraduate

Олександр Миколайович Рябуха, Odessa National Academy of Telecommunications named after A.S. Popov Kuznechnaya str. 1, Odessa, 65029, Ukraine

Teacher

 

References

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Published

2012-12-01

How to Cite

Захарченко, М. В., Ільїн, Д. Ю., Торк, Ж. А., & Рябуха, О. М. (2012). Spectra calculation of CPM signals. Eastern-European Journal of Enterprise Technologies, 6(9(60), 4–7. https://doi.org/10.15587/1729-4061.2012.5242

Issue

Vol. 6 No. 9(60) (2012): Information and controlling system

Section

Information and controlling system

License

Copyright (c) 2014 Микола Васильович Захарченко, Дмитро Юрійович Ільїн, Жамал Аріф Торк, Олександр Миколайович Рябуха

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