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- 2017
多重Gabor框架的存在性与稳定性
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Abstract:
摘要： 鉴于冗余框架在信号处理与图像处理中起着重要的作用,研究了多重Gabor框架的存在性与扰动,给出多重Gabor框架存在的充分条件。 表明Gabor框架经过扰动后的函数族仍然是Gabor框架。 证明了不规则Gabor框架具有稳定性。
Abstract: Since redundant frames are play very important role in signal processing and image processing, existence and perturbation for multiple Gabor frames are studied in this paper. The sufficient condition for the existence of multiple Gabor frames is proposed. It is shown that a function which is the generator of Gabor frames is also a generator of Gabor frames after it is perturbed. According to the frame stability criterion, we prove that a class of irregular Gabor frames are stable frames as well
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