ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
Menu

8
Issue
vol 60 / AUGUST, 2017
Article

DOI 10.17586/0021-3454-2017-60-8-712-720

UDC 517.589; 537.86

APPLICATION OF SEVERAL WAVELETS FOR GENERATING WIDEBAND SIGNALS

A. Y. Grishentsev
ITMO University; Associate professor


A. G. Korobeynikov
Saint Petersburg Branch Organization of the Russian Academy of Sciences “Institute of Earth Magnetism, Ionosphere and Radio waves named after N.V. Pushkov RAS”; Deputy director


Abstract. Signal synthesis with the use of a family of b-spline wavelets and Morley wavelets is analyzed on the base of complex-valued matrices with a special form of the autocorrelation function. The limits of applicability of the method for broadband signal synthesis using wavelet functions are Investigated. Conditions on wavelets suitable for synthesis of wideband signals based on complex-valued matrices are formulated. Statistical selection of wavelet used as the base for synthesized signals providing the best form of the autocorrelation function is carried out. Criteria and parameters of the wavelet formation for wideband signals synthesis are presented. The possibility of application of a family of b-spline wavelets and Morley wavelets is established for the case when an effective control of the spectrum of the broadband signal is required. It is shown that application of wavelets for synthesis of sub-noise wideband signals at a fixed frequency-time resource is inappropriate due to substantial nonuniformity of the signal energy distribution.
Keywords: radio, radar, broadband signal synthesis, radio steganography, wavelet functions

References:
  1. Grishentsev A.Yu., Korobeynikov A.G. Zhurnal radioelektroniki, 2016, no. 5, http://jre.cplire.ru/jre/may16/11/text.pdf       .(in Russ.)
  2. Grishentsev A.Yu.Zhurnal radioelektroniki, 2016, no. 9, http://jre.cplire.ru/jre/sep16/2/text.pdf. (in Russ.)
  3. Grishentsev A.Yu., Korobeynikov A.G., Velichko E.N., Nepomnyashchaya E.K., Rozov S.V. Radiotekhnika, 2015, no. 9, pp. 51–58. (in Russ.)
  4. Grishentsev A.Yu., Korobeynikov A.G. Journal of Instrument Engineering,2016, no. 3(59), pp.211–218. (in Russ.) 
  5. Grishentsev A.Yu., Korobeynikov A.G. Metody i modeli tsifrovoy obrabotki izobrazheniy (Models and Methods of Digital Image Processing), St. Petersburg, 2014, 190 p. (in Russ.)
  6. Grishentsev A.Yu. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2006, no. 29, рp.87–94. (in Russ.)
  7. Grishentsev A.Yu., Korobeynikov A.G. Software Systems and Computing Methods, 2013, no. 4, pp. 370–375.(in Russ.)
  8. Grishentsev A.Yu., Korobeynikov A.G.Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2013, no. 3(85), рp.61–66. (in Russ.)
  9. Braun V.O., Dolgushin V.P., Loza V.N., Pampukha I.V. Zhurnal radioelektroniki, 2014, no. 7, http://jre.cplire.ru/win/jul14/6/abstract.html.(in Russ.)
  10. Smolenitsev N.K. Veyvlet-analiz v MatLab (Wavelet analysis in MatLab),Moscow, 2010, 448 p. (in Russ.)
  11. Bansai M., Sethi D. Denoising of speech and ecg signal by using wavelets, Lambert Academic Publishing, 2012, 64 p.
  12. Goldsmith A. Wireless Communications, Cambridge University Press, 2005, 571 p.
  13. Malhat H. Abd Ei-A., Zainud-Den S.H., Awadalla K.H. Wavelets technique for antennas, Lambert Academic Publishing, 2013, 160 p.
  14. Dyatlov A.P., Kul'bikayan B.Kh. Korrelyatsionnaya obrabotka shirokopolosnykh signalov v avtomatizirovannykh kompleksakh radiomonitoringa (Correlation Processing of Wideband Signals in Automated Radio Monitoring Complexes), Moscow, 2014, 332 p. (in Russ.)
  15. Mallat S. A Wavelet Tour of Signal Processing, Academic Press, 1999, 637 p.
  16. Nikookar H. Wavelet radio adaptive and reconfigurable wireless systems based on wavelets, Cambridge University Press, 2013, 224 p.
  17. Oppenheim A.V. and Schafer R.W. Digital Signal Processing, Englewood Cliffs, NJ, Prentice-Hall, Inc., 1975.
  18. Wolfram Mathematica, http://www.wolfram.com/.
  19. Ipatov V.P. Spread Spectrum and CDMA. Principles and Applications, Wiley, 2005, 400 р.
  20. MatLab, The MathWorks, Inc., http://www.mathworks.com/.