APPROXIMATE SAMPLING THEOREM FOR BIVARIATE CONTINUOUS FUNCTION  

作　　者：杨守志 程正兴 唐远炎 

机构地区：[1]Department of Mathematics, Shantou University, Shantou, Guangdong 515063 , P. R. China [2]Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, P.R.China [3]Department of Computer Science, Hongkong Baptist University, Kowloon Tong, Hong Kong, P.R.Chinan approximate solution of the refinement equation was given by its mask, and the approximate sampling theorem for bivariate continuous function was proved by applying the approximate solution . The approximate sampling function defined uniquely by the mask of the refinement equation is the approximate solution of the equation , a piece-wise linear function , and posseses an explicit computation formula . Therefore the mask of the refinement equation is selected according to one' s requirement, so that one may controll the decay speed of the approximate sampling function .

出　　处：《Applied Mathematics and Mechanics(English Edition)》2003年第11期1355-1361,共7页应用数学和力学（英文版）

基　　金：the NSF of Henan Province (984051900);the NSF of Henan Education Committee (98110015);the Excellent Teacher Foundation of High School in Henan Province

摘　　要：An approximate solution of the refinement equation was given by its mask, and the approximate sampling theorem for bivariate continuous function was proved by applying the approximate solution . The approximate sampling function defined uniquely by the mask of the refinement equation is the approximate solution of the equation , a piece-wise linear function , and posseses an explicit computation formula . Therefore the mask of the refinement equation is selected according to one' s requirement, so that one may controll the decay speed of the approximate sampling function .An approximate solution of the refinement equation was given by its mask, and the approximate sampling theorem for bivariate continuous function was proved by applying the approximate solution . The approximate sampling function defined uniquely by the mask of the refinement equation is the approximate solution of the equation , a piece-wise linear function , and posseses an explicit computation formula . Therefore the mask of the refinement equation is selected according to one' s requirement, so that one may controll the decay speed of the approximate sampling function .

关 键 词：approximate sampling theorem bivariate continuous signal refinement equation mask of refinement equation 

分 类 号：O174.42[理学—数学]