Methods Local Analysis and Processing of Acoustic Signals in the Diagnosis of Conditions Technical Systems and Telecommunications

Author:

Kropotov Y.A.1,Ermolaev V.A.1

Affiliation:

1. Murom Institute (branch) of Vladimir State University named after Alexander and Nikolay Stoletovs

Abstract

Described the problem of recovering from discrete data in general smooth function. The algorithms of data smoothing, providing a smooth pair of generalized, built according to the linearly independent functions, polynomials defined on the mating intervals analysis. The possibility of using for this purpose the methods of constrained optimization. As the objective function is used the quadratic loss function. The smoothness of the conjugation of polynomials is provided with equality constraints. It was established that in the absence of constraints of inequality type solution of the recovery can be obtained in explicit form. The validity of the developed algorithms on examples of the treatment of special test signals. The results indicate the possibility of their use for the analysis multiextremal dependencies, which include the intensity of the acoustic signals functioning technical systems.

Publisher

Trans Tech Publications, Ltd.

Reference6 articles.

1. V.Y. Katkovnik, Nonparametric identification and data smoothing: local approximation method, Science, Moscow, (1985).

2. O.N. Granichin, B.T. Polyak, Randomized algorithms for estimation and optimization for almost arbitrary noise, Nauka, Moscow, (2003).

3. V.A. Ermolaev, O.E. Karasev, Y.A. Kropotov, The method of interpolation filtering tasks of processing speech signals in the time domain, Vestnik of computer and information technology. 7 (2008) 12-17.

4. Y.A. Kropotov, V.A. Ermolaev, Questions parametric representation of non-stationary signals, J. Projecting and technology of electronic means. 1 (2010) 31-35.

5. Y.A. Kropotov, V.A. Ermolaev, On the parametric representation of non-stationary acoustic signals, J. Proceedidings of International Siberian Conference on Control and Communication. 1 (2011) 316-318.

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