Adjacent order components based on fractional fourier transform

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Journal of Vibration and Shock ›› 2012, Vol. 31 ›› Issue (11) : 38-41,5.

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Adjacent order components based on fractional fourier transform

Mei Jian-min1, 2, Xiao Yun-kui2, Yang Wan-cheng2, Chen Xiang-long3, Qiao long3

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Abstract

An method to separate adjacent order components based on Fractional Fourier Transform(FRFT) is presented. The best FRFT transform order is calculated according to the rotate speed signal of the gear box’s input axis and the gear ratio, and the vibration signal of gear box’s accelerated running process is analyzed by FRFT with the best FRFT transform order, the adjacent order components are separated into single component signals in that FRFT field, and the separated single component signals are analyzed by order analysis respectively. The experimental results show that the best FRFT transform order gained from the rotate speed signal is exact, quick, insusceptible and adaptive. The adjacent order components can be separated by FRFT accurately, and the agglutination problem of adjacent order components is solved effectively.

Key words

FRFT / adjacent order component agglutination / order component separatio

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Mei Jian-min;;Xiao Yun-kui;Yang Wan-cheng;Chen Xiang-long;Qiao long. Adjacent order components based on fractional fourier transform [J]. Journal of Vibration and Shock, 2012, 31(11): 38-41,5