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Fast Jacket-Haar Transform with Any Size

Author

Listed:
  • Guibo Liu
  • Dazu Huang
  • Dayong Luo
  • Wang Lei
  • Ying Guo
  • Moonho Lee

Abstract

Jacket-Haar transform has been recently generalized from Haar transform and Jacket transform, but, unfortunately, it is not available in a case where the length is not a power of 2. In this paper, we have proposed an arbitrary-length Jacket-Haar transform which can be conveniently constructed from the 2-point generalized Haar transforms with the fast algorithm, and thus it can be constructed with any sizes. Moreover, it can be further extended with elegant structures, which result in the fast algorithms for decomposing. We show that this approach can be practically applied for the electrocardiogram (ECG) signal processing. Simulation results show that it is more efficient than the conventional fast Fourier transform (FFT) in signal processing.

Suggested Citation

  • Guibo Liu & Dazu Huang & Dayong Luo & Wang Lei & Ying Guo & Moonho Lee, 2015. "Fast Jacket-Haar Transform with Any Size," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-11, October.
    • Handle: RePEc:hin:jnlmpe:628642
    DOI: 10.1155/2015/628642
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