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

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.

• Periodical: Applied Mechanics and Materials (Volume 770)
• Pages: 505-511
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.770.505
• Online since: June 2015
• Authors: Y.A. Kropotov, V.A. Ermolaev
• Keywords: Data Smoothing, Equality Constraints, Generalized Polynomial System of Linearly Independent Functions, Least Squares Problem, Linear Regression, Local Approximation, Processing of Acoustic Signals, Smoothing Filter, Technical Systems

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DOI: 10.1134/s1064226910010080