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Publications (5)0 Total impact

  • Conference Proceeding: Bootstrap based adaptation of sample myriad to characteristics of SαS distribution data
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    ABSTRACT: In many practical applications, noise is non-Gaussian. Heavy-tailed symmetric alpha-stable (SalphaS) distributions have been shown to describe well many natural phenomena and interference in radio engineering, acoustics, communications, etc. For processing signals corrupted by such noise, robust estimators and the corresponding techniques are widely applied. The methods based on a sample myriad (SM) are considered quasi-optimal for removal of noise with SalphaS distributions. SM estimation implies setting a tunable parameter k, desirably in an adaptive manner. However, only quite approximate recommendations concerning the selection of k for a limited size samples exist. In this paper, we study some important properties of the SM estimator with application to SalphaS distributed data. Furthermore, we propose a novel bootstrap based approach to adaptation of the tunable parameter k. By simulations, we consider its accuracy and demonstrate the effectiveness of this approach for a wide range of SalphaS distribution characteristics. Practical recommendations on the selection of parameters for the bootstrap based approach are provided and justified.
    Circuits and Systems, 2009. ISCAS 2009. IEEE International Symposium on; 06/2009
  • Conference Proceeding: Edge detection and filtering of images corrupted by nonstationary noise using robust statistics
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    ABSTRACT: Images are a type of data widely used, processed and analyzed in CAD and telecommunication systems. To retrieve useful information from images, they are often subject to different kinds of preprocessing that commonly include edge detection and filtering. These operations can be performed by standard means if noise type and statistics are known in advance. In this paper we address situations when such a priori information is not available. Two local operators based on robust statistics calculated in spatial and spectral domains are proposed and analyzed for edge detection application. Then we show how the obtained edge maps can be exploited in locally adaptive filtering based on discrete cosine transform (DCT).
    CAD Systems in Microelectronics, 2009. CADSM 2009. 10th International Conference - The Experience of Designing and Application of; 03/2009
  • Conference Proceeding: Accuracy improvement of the wigner distribution estimate in non-Gaussian noise environment by means of clipping technique application
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    ABSTRACT: Wigner distribution (WD) is known to be one of the most convenient time-frequency representations for FM signal analysis in Gaussian noise environment. However, in case of impulsive interferences, WD occurs to be non -robust to noise. For improving robustness of the WD, it is proposed to use filtering approach based on the clipping technique. It can be applied at one of the following two stages: for filtering input FM signal or for local autocorrelation function processing. Based on the fact that there are two robust estimators of FM signal amplitude, four new methods for obtaining WD are proposed. The comparative analysis has been performed for two test signals - harmonic and linear FM ones. It is shown that the proposed methods allow considerable improving the accuracy of WD both for impulse noise environments and Gaus sian noise.
    Modern Problems of Radio Engineering, Telecommunications and Computer Science, 2008 Proceedings of International Conference on; 03/2008
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    Conference Proceeding: Adaptive combined bispectrum-filtering signal processing in radar systems with low SNR
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    ABSTRACT: The application of adaptive techniques for obtaining bispectrum estimates in additive Gaussian noise and random shifts of received signals is considered. An approach using joint adaptive robust forming of bispectrum estimates and processing of complex-valued signal Fourier spectrum estimates by discrete cosine transform-based filtering with local variance estimation within each block is proposed. The advantages of the proposed approach in comparison to the conventional signal waveform recovery from bispectrum are illustrated by computer simulations
    Circuits and Systems, 2006. ISCAS 2006. Proceedings. 2006 IEEE International Symposium on; 06/2006
  • Conference Proceeding: Adaptation of sample myriad tunable parameter to characteristics of SαS distribution
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    ABSTRACT: Processes obeying heavy-tailed symmetric alpha-stable (SalphaS) distributions have been shown to describe well many natural phenomena in radio engineering, acoustics, communications, etc. For processing such data, one needs to apply robust estimators and the methods based on a sample myriad are considered quasi-optimal ones. Sample myriad estimation requires setting a tunable parameter k. However, only quite approximate and impractical recommendations concerning its selection exist. Thus, in this paper we consider some approaches to deal with setting k in practical applications. It is shown that they are to be adaptive to data sample scale and tail heaviness.
    Mathematical Methods in Electromagnetic Theory, 2008. MMET 2008. 12th International Conference on;