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RECONSTRUCTION OF PERIODIC FUNCTIONS WITH UNKNOWN PERIOD FROM NOISY FOURIER COEFFICIENTSстатья
- Авторы: ternovskii v.v., KHAPAEV M.M.
- Журнал: Proceeding of the International Conference XX Crimean Autumn Mathematical School
- Том: 20
- Год издания: 2010
- Первая страница: 228
- Последняя страница: 230
- Аннотация: A variation method for reconstruction of periodic function with unknown period from noisy Fourier coefficients is offered. The functional with Fourier coefficients is constructed. As the problem is incorrect, the functional is minimized by means of Tikhonov regularization method. Fourier series are not used, therefore the Gibbs effect doesn’t emerge. An example of a discontinuous function is given.
- Добавил в систему: Терновский Владимир Владимирович