此页面上的内容需要较新版本的 Adobe Flash Player。

获取 Adobe Flash Player

New WAsystem of kravchenko functions in digital signal processing

 V F Kravchenko, D V Churikov

 
(Kotel’nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Moscow 125009, Russia)
 
Abstract:On the basis of modified atomic transformations the new WAsystems of Kravchenko functions are constructed. As an example the digital processing of time series of the various physical nature processing is considered. The numerical experiments and physical analysis of the results confirm the efficiency of the proposed WAsystems of Kravchenko functions.
 
Key words:atomic functions; WAsystems of functions; wavelets; digital signal processing(DSP)
 
CLD number: TP391 Document code: A
 
Article ID: 16748042(2012)04034507   doi: 10.3969/j.issn.16748042.2012.04.010
 
 
References
 
[1] Kravchenko V F,Churikov D V. Kravchenko atomic transforms in digital signal processing. Journal of Measurement Science and Instrumentation, 2012, 3(3): 228234.
[2] Kravchenko V F. Lectures on the theory of atomic functions and their some applications. Radiotechnika, Moscow, 2003.
[3] Kravchenko V F, Rvachev V L. Boolean algebra, atomic functions and wavelets in physical applications. Fizmatlit, Moscow, 2006.
[4] Kravchenko V F. Digital signal and image processing in radio physical applications. Fizmatlit, Moscow, 2007.
[5] Kravchenko V F, PerezMeana H M, Ponomaryov V I. Adaptive digital processing of multidimentional signals with applications. Fizmatlit, Moscow,  2009.
[6] Kravchenko V F, Labunko O S, Lerer A M, et al. Computing methods in the modern radio physics, Fizmatlit, Moscow, 2009.
[7] Meyer Y. Wavelets and operators. Cambridge University Press, London, 1992.
[8] Mallat S G. A wavelet tour of signal processing. Academic Press. New York, 1998.
[9] Kravchenko V F, Churikov D V. A new class of orthogonal Kravchenko wavelets. Proc. of International Conference RVK08 and MMWP08, Vxj, Sweden,  2008: 3943.
[10] Kravchenko V F, Churikov D V. New analytical WAsystems of Kravchenko functions. Proc. of the International Conference “Days on Diffraction 2010”,  Russia, 2010: 9398.
[11] Churikov D V. Analytical Kravchenko wavelets in the digital UWB signal processing. Proc. of 2010 International Kharkov Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves, Session H: Rfunctions, Atomic Functions, Wavelets, Fractals, H8.
[12] Churikov D V. New analitycal Kravchenko wavelets in spectral estimation of UWB signals. Proc. of Ultrawideband and Ultrashort Impulse Signals, Sevastopol, Ukraine, 2010: 5961.
[13] Kravchenko V F, Churikov D V. Analysis of timeseries on basis of complex WAsystems of Kravchenko functions, An International Journal Electromagnetic Waves and Electronic Systems, 2010, 15(7): 317.
[14] Kravchenko V F, Churikov D V. Correlation radar signal processing on basis of probability Kravchenko weight functions. Proc.of IEEE 10th International Conference on Signal Processing Proceedings (ICSP’10),  Taiyangdao, China, 2010: 19061909.
[15] Kravchenko V F, Churikov D V. New constructions of complex orthogonal Kravchenko wavelets. Program of International Conference “Days on diffraction 2010”, Russia, 2011: 6566.
[16] Integral Science Data Centre. [20120518]. http://isdc.unige.ch/3c273//.
[17] Belgian Solar Influences Data Analysis Center (SIDC). [20120518]. http://sidc.oma.be/sunspotdata/.