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A Sufficient Condition of the Fusion Wavelet Frames

Yudong Ren, Xincheng Zhang, Ying Liu

Abstract



Frame theory plays an important role in the engineering. This paper studies the sufficient condition of fusion wavelet systems to be a frame in higher dimensions. We establish a sufficient condition for the fusion wavelet frames with an arbitrary expanding matrix dilations, which includes the corresponding result of wavelet analysis as the special case.

Keywords


Wavelet, fusion wavelet, frame, sufficient condition.

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