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关于有噪频谱有限信号Sanz-Hvang外推方法的稳定性
引用本文:杨德运. 关于有噪频谱有限信号Sanz-Hvang外推方法的稳定性[J]. 聊城大学学报(自然科学版), 1994, 0(1)
作者姓名:杨德运
作者单位:泰安师专数学系
摘    要:频谱有限信号的外推是信号分析中的一个重要的病态问题.关于有噪情况下的外推,[1]以猜测的形式给出一个外推方法,它在[2]中得到证实.从猜测本身来看,并不知道外推得到的信号与真信号在外推区间上的关系,本文进一步研究这种外推问题,说明噪声充分小时,所得外推信号与真信号的整体稳定逼近.

关 键 词:Ω频谱有限信号,正规簇,整函数

ON THE STABILITY OF SANZ-HUANG METHOD FOR THEEXTRAPOLATION OF BAND-LIMITED SIGNALS WITH NOISE
Yang Deyun. ON THE STABILITY OF SANZ-HUANG METHOD FOR THEEXTRAPOLATION OF BAND-LIMITED SIGNALS WITH NOISE[J]. JOURNAL OF LIAOCHENG UNIVERSITY (NATURAL SCIENCE, 1994, 0(1)
Authors:Yang Deyun
Abstract:The extrapolation of band-Limited Signalsis an important ill-posed problem in signal procession. For the extrapolation with noise, a method was suggested as a conjecture in [1]. The conjecture was proved to be true in [2]. It is not clear about the relation of the extrapolated signal withthe original sineal on the extrapolated intervals. In this paper, It is obtained that the extrapolatedsignals tends the original signal stably on R as the noises tends zero.
Keywords:Band-limited sigal  Normal family  Entire function  
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