Application of Hilbert-Transform-Phase-Space-Reconstruction in HLS Bunch-by-Bunch System

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ZHENG Kai, WANG Jun-Hua, LIU Zu-Ping, LI Wei-Min, SUN Bao-Gen, LIU Jian-Hong, YANG Yong-Liang, ZHOU Ze-Ran, CHEN Yuan-Bo and HUANG Long-Jun. Application of Hilbert-Transform-Phase-Space-Reconstruction in HLS Bunch-by-Bunch System[J]. Chinese Physics C, 2007, 31(3): 307-310.
ZHENG Kai, WANG Jun-Hua, LIU Zu-Ping, LI Wei-Min, SUN Bao-Gen, LIU Jian-Hong, YANG Yong-Liang, ZHOU Ze-Ran, CHEN Yuan-Bo and HUANG Long-Jun. Application of Hilbert-Transform-Phase-Space-Reconstruction in HLS Bunch-by-Bunch System[J]. Chinese Physics C, 2007, 31(3): 307-310. shu
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Received: 2006-06-02
Revised: 2006-07-05
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      沈阳化工大学材料科学与工程学院 沈阳 110142

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    Application of Hilbert-Transform-Phase-Space-Reconstruction in HLS Bunch-by-Bunch System

      Corresponding author:WANG Jun-Hua,
    • National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei 230029, China

      Abstract:In this paper, we introduce the phase space reconstruction method based on Hilbert transform to comprehensively analyse the Bunch-by-bunch measurement record. The analyzing results include one beam position monitor (BPM) phase space reconstruction, bunch oscillation's phase information, mode diagnosing, tune evolvement regressed from phase space and the damping rate of the mode and bunch oscillation. The new method to calculate the tune evolvement exhibits a very high resolution both in time domain and frequency domain without any time domain average. The exponential fit to the mode and bunch oscillation damping curve are also exhibited in this paper.

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