Authors : Evgeny Georgiyevich Zhilyakov and Sergey Pavlovich Belov
Abstract: The given study considers the problem of coordinated selection (filtration) component parts of observed set sequences in the assumption of observed set sequences in the assumption that there is a set of nonzero constant coefficients allowing to receive zero sums of their (parts) values on all interval of registration (model of linear coherence) is considered. As important circumstance is the component equality that serves not a salience of one of them as linearly depending on others. It is possible to specify procedures of hindrances autocompensation when processing signals using additional channels of their registration as an important example. Possibility of principle of empirical values orthogonal design use in these conditions on hyperplane determined by set of the analyzed “true” sizes is investigated. Main computing ratios for estimation linearly coordinated component at known parameters of coherence are received. Besides, procedure of linear coherence model parameter estimation on the basis of empirical data is offered.
Evgeny Georgiyevich Zhilyakov and Sergey Pavlovich Belov, 2015. On Filtration of Multidimensional Signals with Linearly Coordinated Components. International Journal of Soft Computing, 10: 321-325.