"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 4, 2017

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Analyzing of blind pulse signal extraction algorithms at the background of impulse noise


A. E. Manokhin

Ural Federal University, 32 Mira street, 620002 Yekaterinburg, Russia


The paper is received on February 19, 2017,  after correction - on April 18, 2017


Abstract. An efficiency of two blind signal extraction algorithms (gradient and fixed point) based on the maximization of absolute kurtosis is analyzed in the work. Algorithms allow to extract a pulse signal on the background of impulse noise. The algorithms’ convergence at null and nonzero initial conditions is proved. A lemma and two theorems which allow to prove blind allocation signal and to determine the number of decisions regarding the extracting signal are formulated. It is determined that the fixed point algorithm based on maximizing the absolute kurtosis is more efficient. It allows extracting the pulse desired signal having the signal-to–noise ratio 30 dB greater than the gradient algorithm with the same objective function.

Key words: blind signal extraction, fixed point algorithm, kurtosis, Hessian, the rate of convergence.


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For citation:

A. E. Manokhin. Analyzing of blind pulse signal extraction algorithms at the background of impulse noise. Zhurnal Radioelektroniki - Journal of Radio Electronics, 2017, No. 4. Available at http://jre.cplire.ru/jre/apr17/9/text.pdf. (In Russian)