The Experts below are selected from a list of 24927 Experts worldwide ranked by ideXlab platform
Eugene B Postnikov - One of the best experts on this subject based on the ideXlab platform.
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On alternative wavelet reconstruction formula: a case study of approximate wavelets
Royal Society open science, 2014Co-Authors: Elena A Lebedeva, Eugene B PostnikovAbstract:The application of the continuous wavelet transform to study of a wide class of physical processes with oscillatory dynamics is restricted by large central frequencies due to the Admissibility condition. We propose an alternative reconstruction formula for the continuous wavelet transform, which is applicable even if the Admissibility condition is violated. The case of the transform with the standard Morlet wavelet, which is an important example of such analyzing functions, is discussed.
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on alternative wavelet reconstruction formula a case study of approximate wavelets
Royal Society Open Science, 2014Co-Authors: Elena A Lebedeva, Eugene B PostnikovAbstract:The application of the continuous wavelet transform to the study of a wide class of physical processes with oscillatory dynamics is restricted by large central frequencies owing to the Admissibility condition. We propose an alternative reconstruction formula for the continuous wavelet transform, which is applicable even if the Admissibility condition is violated. The case of the transform with the standard reduced Morlet wavelet, which is an important example of such analysing functions, is discussed.
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wavelet reconstruction formula that does not require the Admissibility condition
2014Co-Authors: Elena A Lebedeva, Eugene B PostnikovAbstract:The application of the continuous wavelet transform to study of a wide class of physical processes with oscillatory dynamics is restricted by large central frequencies due to the Admissibility condition. We propose an alternative reconstruction formula for the continuous wavelet transform, which is applicable even if the Admissibility condition is violated. The case of the transform with the standard Morlet wavelet, which is an important example of such analyzing functions, is discussed.
Elena A Lebedeva - One of the best experts on this subject based on the ideXlab platform.
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On alternative wavelet reconstruction formula: a case study of approximate wavelets
Royal Society open science, 2014Co-Authors: Elena A Lebedeva, Eugene B PostnikovAbstract:The application of the continuous wavelet transform to study of a wide class of physical processes with oscillatory dynamics is restricted by large central frequencies due to the Admissibility condition. We propose an alternative reconstruction formula for the continuous wavelet transform, which is applicable even if the Admissibility condition is violated. The case of the transform with the standard Morlet wavelet, which is an important example of such analyzing functions, is discussed.
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on alternative wavelet reconstruction formula a case study of approximate wavelets
Royal Society Open Science, 2014Co-Authors: Elena A Lebedeva, Eugene B PostnikovAbstract:The application of the continuous wavelet transform to the study of a wide class of physical processes with oscillatory dynamics is restricted by large central frequencies owing to the Admissibility condition. We propose an alternative reconstruction formula for the continuous wavelet transform, which is applicable even if the Admissibility condition is violated. The case of the transform with the standard reduced Morlet wavelet, which is an important example of such analysing functions, is discussed.
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wavelet reconstruction formula that does not require the Admissibility condition
2014Co-Authors: Elena A Lebedeva, Eugene B PostnikovAbstract:The application of the continuous wavelet transform to study of a wide class of physical processes with oscillatory dynamics is restricted by large central frequencies due to the Admissibility condition. We propose an alternative reconstruction formula for the continuous wavelet transform, which is applicable even if the Admissibility condition is violated. The case of the transform with the standard Morlet wavelet, which is an important example of such analyzing functions, is discussed.
Xin-zhuang Dong - One of the best experts on this subject based on the ideXlab platform.
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Admissibility analysis of linear singular systems via a delta operator method
International Journal of Systems Science, 2014Co-Authors: Xin-zhuang DongAbstract:In this paper, the problem of Admissibility analysis is investigated for linear singular systems through a delta operator method. The delta operator model of a linear singular continuous system is set up first for a special case and then generalised to the common case. It is shown that when the sampling period tends to zero, the delta operator model tends to the corresponding singular continuous system. In order to obtain the above delta operator model, we adopt a linear singular discrete model which contains the sampling period instead of the standard discrete one which contains no sampling period in the modeling process. The relation between the Admissibility of the two singular discrete models is analysed and it is proved that the Admissibility of one singular discrete model is equivalent to that of the other discrete model. Moreover, based on the relation between the discrete and delta operator models, some Admissibility conditions are derived for linear singular delta operator systems. A numerical ex...
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robust Admissibility analysis and synthesis of uncertain singular systems via delta operator approach
International Conference on Control and Automation, 2013Co-Authors: Xin-zhuang Dong, Qingtang Mao, Wanhu Tian, Dongqing WangAbstract:This paper investigates the problems of robust Admissibility analysis and robust admissible control for uncertain singular systems through delta operator method. Firstly, a necessary and sufficient LMI-based condition is derived guaranteeing the Admissibility of a linear singular delta operator system. Then, based on the above result, a necessary and sufficient LMI-based condition is obtained for the robust Admissibility of an uncertain singular delta operator system. Furthermore, the existence condition and explicit expression of a state feedback robust admissible controller is also given in terms of matrix inequalities. Finally, a numerical example is presented to demonstrate the results in this paper.
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Admissibility conditions for linear singular delta operator systems analysis and synthesis
World Congress on Intelligent Control and Automation, 2012Co-Authors: Qingtang Mao, Xin-zhuang Dong, Wanhu TianAbstract:This paper mainly deals with the problems of Admissibility analysis and admissible control for linear singular delta operator systems. By introducing the delta operator into the discrete model of a linear singular continuous system, the delta operator model is set up which tends to the corresponding continuous system when the sampling period tends to zero. Necessary and sufficient Admissibility conditions are proposed for linear singular delta operator systems. Based on these results, the problem of admissible control is also considered and an explicit expression of a desired state feedback controller is given. Finally, examples are provided to demonstrate the results in this paper.
Matthias C M Troffaes - One of the best experts on this subject based on the ideXlab platform.
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decision making under uncertainty using imprecise probabilities
International Journal of Approximate Reasoning, 2007Co-Authors: Matthias C M TroffaesAbstract:Various ways for decision making with imprecise probabilities-Admissibility, maximal expected utility, maximality, E-Admissibility, @C-maximax, @C-maximin, all of which are well known from the literature-are discussed and compared. We generalise a well-known sufficient condition for existence of optimal decisions. A simple numerical example shows how these criteria can work in practice, and demonstrates their differences. Finally, we suggest an efficient approach to calculate optimal decisions under these decision criteria.
Werner Ploberger - One of the best experts on this subject based on the ideXlab platform.
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Admissibility of the likelihood ratio test when a nuisance parameter is present only under the alternative
Annals of Statistics, 1995Co-Authors: Donald W K Andrews, Werner PlobergerAbstract:This paper establishes the asymptotic Admissibility of the likelihood ratio (LR) test for a general class of testing problems in which a nuisance parameter is present only under the alternative hypothesis. The paper also establishes the finite sample Admissibility of the LR test for testing problems of this sort that arise in Gaussian linear regression models with known variance.
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Admissibility of the likelihood ratio test when a nuisance parameter is present onlyunder the alternative
Research Papers in Economics, 1993Co-Authors: Donald W K Andrews, Werner PlobergerAbstract:This paper establishes the asymptotic Admissibility of the likelihood ratio (LR) test for a general class of testing problems in which a nuisance parameter is present only under the alternative hypothesis. The paper also establishes the finite sample Admissibility of the LR test for testing problems of this sort that arise in Gaussian linear regression models with known variance.