About the uniqueness of quasiharmonious representation

Автор: Ignatjev V.K., Nikitin A.V., Yushanov S.V.

Журнал: Математическая физика и компьютерное моделирование @mpcm-jvolsu

Рубрика: Радиофизика

Статья в выпуске: 13, 2010 года.

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It is shown that if for a signal exists quasiharmonious representation with the limited slowly varying frequency, it is unique. It is shown that under condition of a slowness of change of parameters of system, representable in the form of the differential equation of the second order with variable factors, the equation decision exists in the form of quasiharmonious representation with slowly varying amplitude and frequency. It is proposed regularizing algorithm of estimation of parameters of a signal with quasiharmonious representation and a method of estimation of slowly varying factors of the differential equation of the second order. Results of statistical modeling are shown.

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Quasiharmonic representation, slowly varying parameters, instantaneous frequency, inverse problem, tikhonov regularization, condition of well-posed problem

Короткий адрес: https://sciup.org/14968645

IDR: 14968645

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