Hilbert空间中逼近对偶框架的构造

Construction of Approximately Dual Frames on Hilbert Space

基于框架理论重构信号一直是人们研究的热点问题,本文围绕着如何构造逼近对偶框架做了研究,得到了构成逼近对偶框架的一些充分条件和构造方法.文章研究了通过框架的线性组合构造逼近对偶框架,其中包括利用框架乘以系数和两个框架的线性组合构造逼近对偶框架,最后给出了一些例子.

Reconstructing signals based on the theory of frames has been hot issues. The research in this paper is to construct approximately dual frames and get some sufficient conditions of constructing approximately dual frames and construction methods of approximately dual frames.The construction methods are studied through linear combination of frames, including frame multiplied by coefficients and linear combination of two frames. Finally, some examples are given.