{"product_id":"band-limited-extrapolation-by-regularization-von-weidong-chen","title":"BAND-LIMITED EXTRAPOLATION BY REGULARIZATION","description":"\u003cp\u003eIn this paper a regularized spectral estimation  formula and a regularized iterative algorithm  for band-limited extrapolation are presented. The  ill-posedness of the problem is taken into account.  First a Fredholm equation is regularized. Then it is  transformed to a differential equation in the case  where the time interval is {bf R}. A fast algorithm  to solve the differential equation by the finite  differences is given and a regularized spectral  estimation formula is obtained. Then a regularized  iterative extrapolation algorithm is introduced and  compared with the Papoulis and Gerchberg algorithm.   A time-frequency regularized extrapolation algorithm is presented in the two-dimensional case. The Gibbs  phenomenon is analyzed. Then the time-frequency  regularized extrapolation algorithm is applied to  image restoration and compared with other algorithms.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783843381604\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783843381604","offer_id":39470072299613,"sku":"9783843381604","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/70fb92f7-9745-4e1c-b73b-85f51910d1b1.jpg?v=1773381783","url":"https:\/\/shop.autorenwelt.de\/products\/band-limited-extrapolation-by-regularization-von-weidong-chen","provider":"Autorenwelt Shop","version":"1.0","type":"link"}