New de-noising method based on fractional wavelet transform

Shen Yong-jun Kong De-shun;Yang Shao-pu Zhang Guang-ming

Journal of Vibration and Shock ›› 2009, Vol. 28 ›› Issue (2) : 32-35.

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PDF(2079 KB)
Journal of Vibration and Shock ›› 2009, Vol. 28 ›› Issue (2) : 32-35.
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New de-noising method based on fractional wavelet transform

  • Shen Yong-jun1 Kong De-shun1,2 Yang Shao-pu1 Zhang Guang-ming1
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Abstract

Abstract: The basic theory of fractional wavelet transform (FrWT), including the construction and fast computation of FrWT, is introduced at first. Then a new de-noising method based on the correlativity of fractional wavelet transform is presented, the core of which is due to different correlativity of different signals in FrWT field. Compared with the de-noising method by traditional wavelet packet transform, the excellent de-noising performance of this new method is illustrated through two simulated examples. At last, the possibility of application of this method is discussed.

Key words

fractional wavelet transform / fractional spline wavelet / de-noising method / correlativity

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Shen Yong-jun Kong De-shun;Yang Shao-pu Zhang Guang-ming. New de-noising method based on fractional wavelet transform [J]. Journal of Vibration and Shock, 2009, 28(2): 32-35
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