Necessary Conditions of the Wave Packet Frames with Several Generators

Tao Zhao, Xiaoyu Zhou


The main goal of this paper is to consider the necessary conditions of wave packet systems to be frames in higher dimensions. The necessary conditions of wave packet frames in higher dimensions with several generators are established, which include the corresponding results of wavelet analysis and Gabor theory as the special cases. The existing results are generalized to the case of several generators and general lattices.


Wavelet; The wave packet frame; Necessary condition

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