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

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; HUANG Long-Jun

Chinese Physics C> 2007, Vol. 31> Issue(3) : 307-310

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

National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei 230029, China

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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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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.

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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

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

Received Date: 2006-06-02
Accepted Date: 2006-07-05
Available Online: 2007-03-05

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.