Современные методы анализа смесеприготовительных процессов во времячастотном пространстве

The methods for the analysis of mixture-producing processes in time-frequency space

Karnadud E. ^a

Fedosenkov B. ^a

Fedosenkov D. ^a

Fedosenkov BA. ^a

Affiliation

a ГОУ ВПО «Кемеровский технологический институт пищевой промышленности»

Copyright ©Datsuk et al. This is an open access article distributed under the terms of the Creative Commons Attribution 4.0. (http://creativecommons.org/licenses/by/4.0/), allowing third parties to copy and redistribute the material in any medium or format and to remix, transform, and build upon the material for any purpose, even commercially, provided the original work is properly cited and states its license.

Abstract

This paper illustrates the application of methods for the analysis of mixture-producing processes in time-frequency space. It also presents a detailed description, apart from traditional methods of frequency analyses using an analyzing window (ordinary and short-time Fourier transforms), of the continuous wavelet transform and especially so-called wavelet matching pursuit (also known as the adaptive wavelet approximation). Adapted for the specific purpose of reconstructing the flow signal of a material component from a dozer or the resulting signal of a multi-component dozing block, the matching pursuit technique has a number of specific peculiarities such as the presence necessity of redundant time-frequency dictionaries that contain wavelet functions; the adaptability of such an approximation both over a lapsed time and a primary signal structure, and the iterative procedure of selecting certain atoms from a dictionary. The practical manner in which these specific features are implemented and the mathematical techniques used for signal analysis should prove applicable to a wide variety of mixture-producing problems.

Keywords

Mixture-producing process, Fourier transform, time-frequency distribution, wavelet transform, Gabor function, matching pursuit, Wigner distribution

REFERENCES

1. Федосенков, Б.А. Процессы дозирования сыпучих материалов в смесеприготовительных агрегатах непрерывного действия - обобщенная теория и анализ (кибернетический подход) / Б.А. Федосенков, В.Н. Иванец. - Кемерово, 2002. - 216 с.
2. Coifman, R.R. Wavelet analysis and signal processing / R.R. Coifman, Y. Meyer, and M.V. Wickerhauser // Wavelets and their Applications; В. Ruskai et al, editors. - Boston: Jones and Bartlett, 1992. - P. 153-178.
3. Блаттер, К. Вейвлет-анализ. Основы теории / К. Блаттер. - М.: Техносфера, 2006. - 272 с.
4. Mallat, S. Matching pursuit with time-frequency dictionaries / S. Mallat and Z. Zhang // IEEE Transactions on Signal Processing. - 1993. - Vol. 41, № 12. - Р. 3397-3415.
5. Debnath, L. Recent development in the Wigner-Ville distribution and time-frequency signal analysis / L. Debnath, PINSA, 68, A, № 1, Jan. 2002. - Р. 35-56.

How to quote?

About journal