Signal processing

We deal with the development of mathematical methods and algorithms for signal and image processing. Original approaches have been proposed to the evaluation of the fractal dimensions of signals [1, 2] aimed on the development of efficient methods of signals detection and recognition. Wavelet methods have been advanced for filtration and detailed characterization of signals and images [3, 4]. An efficient solution to the development of secure communication systems based on using nonsynchronized chaotic oscillations has been proposed [5].

Essential contributions have been made to the development and implementation of efficient, real time signal processing algorithms for target detection, classification, and recognition. These algorithms have been successfully implemented in various types of radars, including SAR, ground and airborne surveillance and tracking radars, meteorological radars.

The theoretical studies are accompanied by the development of DSP and FPGA based digital receivers and other signal processing hardware for radar, astronomy and other applications [6, 7].

Fig.1 Dynamical spectrum of a sound signal (top figure) and the masked signal [5]


1. D.M. Vavriv and V.B. Ryabov: Fractal dimension: problems of calculations., Zh. Vychislit. Mat. & Mat. Fiz.,, Vol. 29, #7, pp.987-999 (1989) (in Russian)

2. D.M. Vavriv and V.B. Ryabov: Fractal dimension of self-similar attractors., Zh.Tekh.Fiz., Vol. 59, #8, pp.118-119 (1989) (in Russian)

3. V.B. Ryabov, A.V. Stepanov, P.V. Usik, V.V. Vinogradov, D.M. Vavriv and Yu.F. Yurovsky: From chaotic to 1/f processes in solar mcw-bursts., Astronomy and Astrophysics, Vol. 324, pp.750-762 (1997)

4. O.O. Bezvesilniy, V.V. Vinogradov and K. Schuenemann: Noise reduction algorithm based on template wavelet coefficients., Radio Physics and Radio Astronomy, Vol. 5, #3, pp.301-311 (2000)

5. V.B. Ryabov, P.V. Usik and D.M. Vavriv: Chaotic masking without synchronization., International Journal of Bifurcations and Chaos, Vol. 9, #6, pp.1181-11 (1999)

6. D.M. Vavriv, V.V. Vinogradov and S.A. Rasbeyko: Control system for meteorological complex of atmosphere remote sensing., Radio Physics and Radio Astronomy, Vol. 6, #3, pp.212-221 (2001) (in Russian)

7. V.B. Ryabov, D.M. Vavriv, P. Zarka, B.P. Ryabov, R.V. Kozhin, V.V. Vinogradov and L. Denis: A low-noise, high-dynamic-range, digital receiver for radio astronomy applications: an efficient solution for observing radio-bursts from Jupiter, the Sun, pulsars, and other astrophysical plasmas below 30 MHz, Astronomy and Astrophysics, Vol. 510, pp.1-13 (2010)