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Minimum-Energy Multiwavelet Frame on the Interval

Author

Listed:
  • Fengjuan Zhu
  • Yongdong Huang
  • Xiao Feng
  • Qiufu Li

Abstract

Drawing inspiration from the idea of combining multiwavelets on the interval with frame theory organically, we study minimum-energy multiwavelet frame on the interval (MEMWFI). Firstly, left boundary multiscaling functions, right boundary multiscaling functions, and the definition of MEMWFI are put forward, and the equivalent characterizations of MEMWFI are given. Then, two algorithms of constructing MEMWFI are proposed. Finally, the decomposition formula, reconstruction formulas, and numerical examples are given.

Suggested Citation

  • Fengjuan Zhu & Yongdong Huang & Xiao Feng & Qiufu Li, 2015. "Minimum-Energy Multiwavelet Frame on the Interval," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-19, May.
    • Handle: RePEc:hin:jnlmpe:262637
    DOI: 10.1155/2015/262637
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