利用框架理论对信号进行重建

在Hilbert空间中讨论了框架的一些重要的性质,定义了一个框架算子,并讨论了该算子的性质。根据实际问题构造了一框架,使信号在此框架下的投影正好为非均匀采样值。给出了一种框架界的估计方法和重建原信号的迭代算法,最后,用仿真验证了此算法的有效性。

Using Frame Theory to Reconstruct Signals

In this paper,some important featur es of frame in Hilbert space was discu ssed,defined a frame operator,and a frame based on practical question,let the projection of the original signal onto the frame is just the non -uniform sample s.We put forward a method to estimate the limit of frame operator and an iterative algorithm to reconstruct the original signal.In the end we test the algorithm using simula-tion.