Journal of Lanzhou University of Technology

Journal of Lanzhou University of Technology ›› 2020, Vol. 46 ›› Issue (6): 159-167.

• Scientific • Previous Articles     Next Articles

Characterization for high dimensional semi-orthogonal wave packet frames

CHEN Huan1,2, CHEN Qing-jiang2   

  1. 1. School of Humanities and Education, Shaanxi Energy Institute, Xianyang 712000;
    2. School of Science, Xi'an University of Architecture and Technology,Xi'an 710055
  • Received:2019-09-23 Online:2020-12-28 Published:2021-01-07

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Abstract: The existence of semi-orthogonal wave packet frames in the space of L2(Rn) is studied, and the characteristics of semi-orthogonal wave packet frames in the space of L2(R2) are characterized as well. The necessary and sufficient conditions for wave packet systems composed of several wavelet functions to form wave packet Basel frames are established. The equivalent condition for the wave packet frame to be a semi-orthogonal frame is obtained as well.

Key words: wave packet frames, semi-orthogonal wave packet frames, wave packet parseval frames, frame multiresolution analysis

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