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Minimum-Energy Multiwavelet Frames with Arbitrary Integer Dilation Factor

Author

Listed:
  • Yongdong Huang
  • Qiufu Li
  • Ming Li

Abstract

In order to organically combine the minimum-energy frame with the significant properties of multiwavelets, minimum-energy multiwavelet frames with arbitrary integer dilation factor are studied. Firstly, we define the concept of minimum-energy multiwavelet frame with arbitrary dilation factor and present its equivalent characterizations. Secondly, some necessary conditions and sufficient conditions for minimum-energy multiwavelet frame are given. Thirdly, the decomposition and reconstruction formulas of minimum-energy multiwavelet frame with arbitrary integer dilation factor are deduced. Finally, we give several numerical examples based on B-spline functions.

Suggested Citation

  • Yongdong Huang & Qiufu Li & Ming Li, 2012. "Minimum-Energy Multiwavelet Frames with Arbitrary Integer Dilation Factor," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-37, September.
    • Handle: RePEc:hin:jnlmpe:640789
    DOI: 10.1155/2012/640789
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