A fast calibration and calculation method and a fast calibration system for improving the measurement accuracy of beam position

By adopting fast calibration and calculation methods in particle accelerator, the problem of insufficient accuracy during the calibration process of BPM probe is solved, and high-precision beam position measurement is achieved, which reduces noise and calculation amount and enhances system stability.

CN116699675BActive Publication Date: 2025-06-13GUODIAN NUCLEAR POWER TECH (WUXI) TECH CO LTD
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Patent Information

Application Number
CN202310765035.3
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2023-06-26
Publication Date
2025-06-13
Estimated Expiration
2043-06-26

AI Technical Summary

Technical Problem

In the prior art, in the calibration process of BPM probes used for beam position measurement in particle accelerators, it is difficult to achieve high-precision amplitude and phase information measurement, resulting in insufficient beam position measurement accuracy.

Method used

Fast calibration and calculation methods are adopted to generate excitation signals through the signal generator, and the reflected signals are used to sample, calibrate the phase and amplitude of the cable, and avoid noise and delay caused by complex RF front-end designs through undersampling and fast algorithms.

Benefits of technology

It improves the accuracy of beam position measurement, reduces calculation amount and noise, enhances the stability and repetitive consistency of the system, and ensures maximum signal-to-noise ratio.

✦ Generated by Eureka AI based on patent content.

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Patent Text Reader

Abstract

The present invention discloses a fast calibration and calculation method for improving the measurement accuracy of beam position and a fast calibration system, including: The method includes: Step 1, start the full-automatic calibration process, the signal generator generates an excitation signal, samples the signal using the reflected signal to obtain a sampling result, and calibrates the phase and amplitude of the cable; Step 2, based on the fast sampling method, adopt the undersampling method to achieve fast amplitude-phase extraction; Step 3, add a rotation matrix to normalize the IQ data; Step 4, among them, the reference clock, adopt a coherent manner with the beam signal, can be phase-shifted, to achieve the detection of the maximum amplitude, and ensure the maximum improvement of the signal-to-noise ratio to the greatest extent.
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Description

Technical Field

[0001] The present invention relates to the technical field of beam diagnostics for particle accelerators, and specifically to a fast calibration and calculation method and a fast calibration system for improving the measurement accuracy of beam position. Background Art

[0002] A Beam Position Monitor (BPM) is an essential measurement component for the operation and commissioning of accelerators. Accurate beam position measurement is of great significance for the commissioning and optimization of accelerators.

[0003] When a high-energy beam passes through the internal pipe of the detector, according to the principle of electromagnetic induction, the electrodes inside the detector will induce corresponding currents to form electromotive forces. When the high-energy beam deflects in a certain direction, the induced potential of the electrodes in that direction will increase, while the induced potential of the electrodes in the opposite direction will decrease. Therefore, by comparing the electrical signals collected by the electrodes, the deflection direction and degree of the beam can be measured, providing a basis for correcting the beam position.

[0004] In the field of particle accelerators, a digital BPM (Beam Position Monitor) is a key device for beam position measurement. Its system hardware is designed to achieve high-resolution beam position measurement, and the hardware structure usually mainly includes: BPM probes, coaxial transmission cables, RF conditioning circuits, and digital processing circuits, etc.

[0005] For the BPM measurement system used in the particle accelerator system, it is necessary to accurately calibrate the BPM probe to obtain accurate amplitude and phase information, and then invert accurate beam position and other key particle accelerator parameters, which is a difficult problem that urgently needs to be improved and solved. Summary of the Invention

[0006] Object of the Invention: To provide a fast calibration and calculation method and a fast calibration system for improving the measurement accuracy of beam position to solve the above problems existing in the prior art.

[0007] Technical Solution: A fast calibration and calculation method for improving the measurement accuracy of beam position includes:

[0008] Preparation work, connecting the BPM probe to the fast calibration system for improving the measurement accuracy of beam position;

[0009] Step 1, start the full-automatic calibration process, the signal generator generates an excitation signal, samples the signal using the reflected signal to obtain a sampling result, and calibrates the phase and amplitude of the cable;

[0010] Step 2: Based on the fast sampling method, perform undersampling to achieve fast amplitude and phase extraction. By means of undersampling supplemented with fast algorithms, avoid the design of an overly complex RF front-end and the uncertainties in noise, delay, and amplitude response brought about by this complex RF front-end design.

[0011] Step 3: Add a rotation matrix to normalize the IQ data.

[0012] Step 4: Among them, for the reference clock, adopt a method coherent with the beam signal, which can perform phase shift to achieve the detection of the maximum amplitude and ensure maximizing the signal-to-noise ratio.

[0013] Due to the relatively high frequency of the input signal, from the perspectives of the engineering implementation difficulty and the cost of the ADC, we do not choose an overly high ADC sampling rate.

[0014] In a further embodiment, adopt the method of direct RF sampling:

[0015] Receive the digital orthogonal I and Q sequences output by the front-end part of the receiver. Since the beam response sampling signal is a sine signal, use the method of orthogonal analysis to obtain the IQ results.

[0016] The signal actually generated during calibration is a narrow pulse signal sent to the acquisition port of the BPM probe, and the cable used is the cable actually used in the system. Since the terminal of the BPM probe is a plate, the signal will be reflected back.

[0017] The time difference between this reflected signal and the transmitted signal is the delay of the entire BPM measurement cable.

[0018] In this way, we can not only measure the delay time of the cable, but also measure the difference in the delay time of the cable.

[0019] When calibrating the phase and amplitude of the cable, since the phase delay between different channels (A, B, C, D) of the BPM probe can be calculated, the measured phase delay consists of the delay of the beam, the delay difference between different transmission cables, and the delay difference of the sampling circuit, that is

[0020] To eliminate the delay difference of the sampling circuit, the formula is as follows:

[0021]

[0022] The delay difference between different transmission cables is maximally eliminated by using cables of equal length. At the same time, for the phase residuals caused by the slight differences in the lengths of physical cables, they can be solved by calibration. The formula is as follows:

[0023]

[0024] In this way, we can calibrate the differences of the RF cables, including the differences in amplitude response and frequency response. After the difference compensation, the calibration coefficients during the formal operation of the BPM are formed to optimize the detection accuracy of the BPM.

[0025] The above detection process is completed by an automatic method.

[0026] In a further embodiment, an AD is used to collect the RF signal representing the beam current. When the selected sampling rate satisfies the following relationship, the I and Q orthogonal sequences of the input signal frequency can be directly obtained.

[0027] The sampling result data obtained based on the sampling points can directly represent the IQ signal.

[0028] During the sampling process, due to the frequency difference between f s and f RF , the phase interval between every two sampling points is θ. To ensure that the sampling results are not aliased, f s shall not be lower than the modulation bandwidth B of the signal. The sampling results after two consecutive sampling quantizations are:

[0029]

[0030] where y i , y i+1 are the sampling result data of the previous and the next sampling periods, and the sampling results of the i-th sampling and the (i + 1)-th sampling;

[0031] Furthermore, the matrix expression between the IQ signal and the sampling result data is:

[0032]

[0033] This matrix expression can be further converted to:

[0034]

[0035] where D can be simplified to sinθ. If only considering that i is odd, then the above formula can be further simplified to:

[0036]

[0037] That is, the single IQ sampling result. In this case, the IQ signal can be expressed as:

[0038]

[0039] Based on the above method, the IQ signal can be represented based on the sampling result data, thereby improving the calculation speed and accuracy of the system, reducing the calculation amount, further improving the repeatability and stability of the system, and reducing the DC bias error, clock jitter error, quantization error of analog-to-digital conversion, and system noise, etc., and improving the demodulation accuracy.

[0040] In a further embodiment, the I / Q data obtained by sampling is corrected by a rotation matrix to perform the normalization operation of the IQ data;

[0041] After the IQ result passes through a digital filter, it is converted into the amplitude and phase of the signal.

[0042] In a further embodiment, for the phase of the sampling result, the phase of the sampling clock signal is adjusted to achieve sampling of the amplitude peak of the radio frequency signal, thereby improving the calculation result of the signal-to-noise ratio.

[0043] In a further embodiment, the amplitudes of the signals of the four beam position detector probes calculated by the amplitude and phase calculation unit are used to calculate the X and Y coordinate positions of the beam using the difference and ratio method.

[0044] The corresponding difference and ratio algorithm is a conventional implementation method in the art and will not be elaborated in the present invention.

[0045] A fast calibration system for improving the measurement accuracy of beam position includes:

[0046] A radio frequency cable connected to the BPM probe, and a signal generator, a circulator, an AD sampler and a controller connected to the radio frequency cable;

[0047] A transceiver duplexer (circulator) is added to realize the acquisition and processing of the generated radio frequency signal and radio frequency reflection signal.

[0048] The signal generator generates a radio frequency signal. Through the radio frequency cable + circulator, the excitation signal generated by the signal generator passes through the radio frequency cable and the circulator, and the reflected signal is obtained through the BPM plate.

[0049] The reflected signal is sampled back through the circulator, and the amplitude and phase (delay) information of the corresponding signal is obtained through AD chip acquisition;

[0050] The radio frequency cable is connected to the A channel of the BPM probe;

[0051] Similarly, the B channel, C channel, and D channel can all be connected in the above manner.

[0052] Beneficial effects: The present invention discloses a fast calibration and calculation method and a fast calibration system for improving the beam position measurement accuracy. The present invention generates an excitation signal through a signal generator, samples the signal using the reflected signal to obtain a sampling result, calibrates the phase and amplitude of the cable, and uses undersampling supplemented by a fast algorithm to avoid the design of an overly complex RF front-end and the uncertainties of noise, delay, and amplitude response brought about by this complex RF front-end design. At the same time, a rotation matrix is added to normalize the IQ data. For the reference clock, a coherent method with the beam signal is adopted, which can shift the phase to achieve the detection of the maximum amplitude, ensuring the maximum improvement of the signal-to-noise ratio and obtaining accurate amplitude and phase information, and then inversely calculating key particle accelerator parameters such as the accurate beam position. Description of the Drawings

[0053] Figure 1 It is the connection diagram of the fast calibration system of the present invention.

[0054] Figure 2 It is the schematic diagram of the fast calculation process of amplitude and phase of the present invention.

[0055] Figure 3 It is the schematic diagram of the phase shift of the sampling clock of the present invention.

[0056] Figure 4 It is the digital phase shift block diagram of the sampling clock of the present invention.

[0057] Figure 5 It is the simple block diagram of the BPM measurement system.

[0058] Figure 6 It is the schematic diagram of the principle of the BPM probe. Detailed Embodiments

[0059] This application relates to a fast calibration and calculation method and a fast calibration system for improving the beam position measurement accuracy, which will be explained in detail through specific embodiments below.

[0060] Taking the beam position detector (probe) (BPM) with four electrodes A, B, C, and D as an example, due to the microwave acceleration principle of the accelerator, its designed frequency reaches several hundred megahertz or even higher frequencies. We need to obtain beam-related parameter information by accurately measuring the accurate amplitude and phase information of this RF signal.

[0061] Accurately extracting the amplitude and phase information of the signal and then accurately obtaining parameters such as the beam position is the problem solved by the present invention.

[0062] Using a fully digital method for BPM to measure the beam position of the accelerator and improve the measurement resolution.

[0063] The connection relationship of the beam measurement system is as shown in the appendixFigure 5 as shown

[0064] The BPM probe is usually installed at the measurement position of the accelerator beam pipe. The housing is a vacuum-sealed structure, and the beam-induced RF signal is extracted through electrodes, extraction electrodes, and vacuum feedthrough connectors (electrodes).

[0065] There is usually an insulating ring structure between the BPM electrode and the housing to achieve electrical isolation.

[0066] The electronics system consists of a signal generator, a data collector, a circulator, RF transmission cables, etc.

[0067] The entire electronics system provides a reference clock for the BPM measurement system through the accelerator timing device. The acquisition clock of the data collector needs to be coherent with the clock signal provided by the external accelerator timing system.

[0068] The data collector is connected to the BPM probe through an RF cable. The electrode signals output by the 4 electrodes when the beam passes through the beam position probe are sampled through 4 acquisition channels of the data acquisition device to obtain the amplitude, frequency, and phase information of the sampled RF signal of each electrode.

[0069] For the BPM measurement system used in the particle accelerator system, it is necessary to accurately calibrate the BPM probe to obtain accurate amplitude and phase information, and then invert accurate beam position and other key particle accelerator parameters, which is a difficult problem that urgently needs to be improved and solved.

[0070] The present invention realizes an online, fast, fully automatic BPM system calibration and measurement fast calibration and calculation method and system

[0071] The calibration is carried out by directly using the connection method of the online measurement equipment, and there is no need to separately carry out additional disassembly and electrical connection.

[0072] A fast calibration and calculation method for improving the beam position measurement accuracy includes:

[0073] Preparation work: Connect the BPM probe to the fast calibration system for improving the beam position measurement accuracy.

[0074] Step 1: Start the fully automatic calibration process. The signal generator generates an excitation signal, samples the signal using the reflected signal to obtain the sampling result, and calibrates the phase and amplitude of the cable.

[0075] Step 2: Based on the fast sampling method, adopt the undersampling method to achieve fast amplitude and phase extraction; by means of undersampling supplemented by fast algorithms, avoid the design of overly complex RF front-ends and the uncertainties of noise, delay, and amplitude response brought by this complex RF front-end design.

[0076] Step 3: Add a rotation matrix to normalize the IQ data;

[0077] Step 4: For the reference clock, adopt a coherent method with the beam current signal, which can be phase-shifted to achieve maximum amplitude detection and ensure maximizing the signal-to-noise ratio;

[0078] Due to the high frequency of the input signal, from the perspectives of engineering implementation difficulty and the cost of the ADC, we do not choose an overly high ADC sampling rate.

[0079] Adopt the method of direct RF sampling:

[0080] Receive the digital orthogonal I and Q sequences output by the front-end part of the receiver. Since the beam current response sampling signal is a sine signal, use the method of orthogonal analysis to obtain the IQ results.

[0081] The signal actually generated during calibration is a narrow pulse signal sent to the acquisition port of the BPM probe, and the cable used is the cable actually used in the system. Since the terminal of the BPM probe is a plate, the signal will be reflected back.

[0082] The time difference between this reflected signal and the transmitted signal is the delay of the entire BPM measurement cable.

[0083] In this way, we can not only measure the cable delay time but also measure the difference in cable delay time.

[0084] When calibrating the phase and amplitude of the cable, since the phase delay between different channels (A, B, C, D) of the BPM probe can be calculated, the measured phase delay consists of the delay of the beam current, the delay difference between different transmission cables, and the delay difference of the sampling circuit, that is

[0085] To eliminate the delay difference of the sampling circuit, the formula is as follows:

[0086]

[0087] The delay difference between different transmission cables is maximally eliminated by using cables of equal length. At the same time, for the phase residuals caused by the slight differences in the lengths of physical cables, they can be solved by calibration. The formula is as follows:

[0088]

[0089] In this way, we can calibrate the differences of the RF cables, including the differences in amplitude response and frequency response. After difference compensation, the calibration coefficients during the formal operation of the BPM are formed to optimize the detection accuracy of the BPM;

[0090] The above detection process is completed by an automatic method.

[0091] The RF signal representing the beam current is acquired by AD sampling. When the selected sampling rate satisfies the following relationship, the I and Q orthogonal sequences of the input signal frequency can be directly obtained.

[0092] The sampling result data obtained based on the sampling points can directly represent the IQ signal.

[0093] During the sampling process, due to the frequency difference between f s and f RF , the phase interval between every two sampling points is θ. To ensure that the sampling result is not aliased, f s shall not be lower than the modulation bandwidth B of the signal. The sampling results after two consecutive sampling quantizations are:

[0094]

[0095] where y i , y i+1 are the sampling result data of the i-th sampling and the (i + 1)-th sampling in the previous and subsequent sampling periods;

[0096] Furthermore, the matrix expression between the IQ signal and the sampling result data is:

[0097]

[0098] This matrix expression can be further converted to:

[0099]

[0100] where D can be simplified to sinθ. If only considering that i is odd, then the above formula can be further simplified to:

[0101]

[0102] That is, the single IQ sampling result. In this case, the IQ signal can be expressed as:

[0103]

[0104] Based on the above method, the IQ signal can be represented based on the sampling result data, thereby improving the calculation speed and accuracy of the system, reducing the calculation amount, further improving the repeatability and stability of the system, and reducing the DC bias error, clock jitter error, quantization error of analog-to-digital conversion, and system noise, etc., and improving the demodulation accuracy.

[0105] The I / Q data obtained by sampling is corrected through the rotation matrix to realize the normalization operation of the IQ data;

[0106] After the IQ results pass through a digital filter, they are converted into the amplitude and phase of the signal.

[0107] For the phase of the sampling result, adjust the phase of the sampling clock signal to achieve sampling of the amplitude peak of the RF signal, thereby improving the calculation result of the signal-to-noise ratio.

[0108] Use the amplitude of the signals from the four beam position detector probes calculated by the amplitude and phase calculation unit, and use the difference and ratio to calculate the X and Y coordinate positions of the beam.

[0109] The corresponding difference and ratio algorithm is a conventional implementation method in the art and will not be elaborated in the present invention.

[0110] A fast calibration system for improving the measurement accuracy of beam position includes:

[0111] An RF cable connected to the BPM probe, and a signal generator, a circulator, an AD sampler and a controller connected to the RF cable;

[0112] Add a transceiver duplexer (circulator) to realize the acquisition and processing of the generated RF signal and the RF reflection signal.

[0113] The signal generator generates an RF signal. Through the RF cable + circulator, the excitation signal generated by the signal generator passes through the RF cable and the circulator, and the reflected signal is obtained through the BPM electrode plate.

[0114] The reflected signal is sampled back through the circulator, and the amplitude and phase (delay) information of the corresponding signal is obtained through AD chip acquisition;

[0115] The RF cable is connected to the A channel of the BPM probe;

[0116] Similarly, the B channel, C channel, and D channel can all be connected in the above manner.

[0117] Principle description:

[0118] Start the full-automatic calibration process. The signal generator generates an excitation signal, samples the signal using the reflected signal, obtains the sampling result, and calibrates the phase and amplitude of the cable;

[0119] Since the frequency of the input signal is relatively high, considering the engineering implementation difficulty and the cost of the ADC, we do not choose too high an ADC sampling rate.

[0120] Adopt the method of direct RF sampling:

[0121] Receive the digital quadrature I, Q sequences output by the front-end part of the receiver. Since the beam response sampling signal is a sine signal, use the method of orthogonal analysis to obtain the IQ results.

[0122] The signal generated by the actual calibration is a narrow pulse signal that is sent to the acquisition port of the BPM probe, and the cable used is the cable used in the actual system. Since the terminal of the BPM probe is a plate, the signal will be reflected back.

[0123] The time difference between this reflected signal and the transmitted signal is the delay of the entire BPM measurement cable.

[0124] In this way, we can not only measure the delay time of the cable, but also measure the difference in the delay time of the cable.

[0125] When calibrating the phase and amplitude of the cable, since the phase delay between different channels (A, B, C, D) of the BPM probe can be calculated, the measured phase delay consists of the delay of the beam, the delay difference between different transmission cables, and the delay difference of the sampling circuit, that is

[0126] represents the phase measurement value of a certain probe channel; represents the phase measurement value of another probe channel; here 1 and 2 respectively correspond to one of A, B, C, D above.

[0127] To eliminate the delay difference of the sampling circuit, the formula is as follows:

[0128]

[0129] is the measured phase of a certain channel;

[0130] is the measured phase of another channel;

[0131] The difference between the two is the phase error introduced by the electronics;

[0132] The delay difference between different transmission cables is maximally eliminated by using cables of equal length. At the same time, for the phase residuals caused by the slight differences in the lengths of the physical cables, they can be solved by calibration. The formula is as follows:

[0133]

[0134] represents the phase measurement value of channel 2, represents the phase measurement value of channel 1, (here 1 and 2 correspond to A, B, C, D), and the difference between the two is the phase residual caused by the slight difference in the cable.

[0135] In this way, we can calibrate the differences of the RF cables, including the differences in amplitude response and frequency response. After the difference compensation, the calibration coefficients during the formal operation of the BPM are formed to optimize the detection accuracy of the BPM.

[0136] The above detection process is completed by an automatic method.

[0137] Based on the fast sampling method, the under-sampling method is adopted to achieve fast amplitude-phase extraction. By means of under-sampling supplemented with fast algorithms, the design of an overly complex RF front-end is avoided, as well as the noise, delay, and amplitude response uncertainty brought about by this complex RF front-end design.

[0138] The RF signal representing the beam current is collected by the AD. When the selected sampling rate satisfies the following relationship, the I and Q orthogonal sequences of the input signal frequency can be directly obtained.

[0139] The sampling result data obtained based on the sampling points can directly represent the IQ signal.

[0140] During the sampling process, due to the frequency difference between f s and f RF , the phase interval between every two sampling points is θ. To ensure that the sampling results are not aliased, f s cannot be lower than the modulation bandwidth B of the signal. The sampling results after two consecutive sampling quantifications are:

[0141]

[0142] I and Q represent the sampling data; θ represents the phase interval between each sampling;

[0143] i represents the i-th sampling;

[0144] i + 1 represents the (i + 1)-th sampling;

[0145] Among them, y i , y i+1 are the sampling result data of the previous and the next sampling periods, the i-th sampling and the (i + 1)-th sampling;

[0146] Furthermore, the matrix expression between the IQ signal and the sampling result data is:

[0147]

[0148] This matrix expression can be further converted to:

[0149]

[0150] Among them, D can be simplified to sinθ. If only considering that i is odd, then the above formula can be further simplified to:

[0151]

[0152] That is, the single result of IQ sampling. In this case, the IQ signal can be expressed as:

[0153]

[0154] Here, N represents a complete sampling period;

[0155] Based on the above method, the IQ signal can be represented based on the sampling result data, thereby improving the calculation speed and accuracy of the system, reducing the calculation amount, further improving the repeatability and stability of the system, and reducing the DC offset error, clock jitter error, quantization error of analog-to-digital conversion, and system noise, etc., to improve the demodulation accuracy.

[0156] Add a rotation matrix to normalize the IQ data;

[0157] The I / Q data obtained by sampling is corrected through the rotation matrix to implement the normalization operation of the IQ data;

[0158] After the IQ result passes through a digital filter, it is converted into the amplitude and phase of the signal;

[0159] Among them, for the reference clock, by adopting a coherent manner with the beam current signal, it can be phase-shifted to achieve the detection of the maximum amplitude, ensuring the maximum improvement of the signal-to-noise ratio;

[0160] For the phase of the sampling result, adjust the phase of the sampling clock signal to achieve the sampling of the amplitude peak of the radio frequency signal, thereby improving the calculation result of the signal-to-noise ratio of the signal.

[0161] Use the amplitude of the signals of the four beam position detector probes calculated by the amplitude and phase calculation unit, and use the difference and ratio to calculate the X and Y coordinate positions of the beam.

[0162] The preferred specific embodiments of the present invention have been described in detail above in conjunction with the accompanying drawings. However, the present invention is not limited to the specific details in the above specific embodiments. Within the scope of the technical concept of the present invention, various equivalent transformations can be made to the technical solutions of the present invention, and these equivalent transformations all fall within the protection scope of the present invention.

Claims

1. A fast calibration and calculation method for improving the measurement accuracy of beam position, characterized in that, it includes: Step 1: Start the full-automatic calibration process. The signal generator generates an excitation signal, samples the signal using the reflected signal to obtain a sampling result, and calibrates the phase and amplitude of the cable; Step 2: Based on the fast sampling method, adopt the undersampling method to achieve fast amplitude and phase extraction; Step 3: Add a rotation matrix to normalize the IQ data; Step 4: Among them, for the reference clock, adopt a coherent manner with the beam signal to detect the maximum amplitude, ensuring to maximize the signal-to-noise ratio.

2. The fast calibration and calculation method for improving the measurement accuracy of beam position according to claim 1, characterized in that: When calibrating the phase and amplitude of the cable, due to BPM The phase delay between different channels of the probe can be obtained through Calculation. The measured phase delay consists of the delay of the beam, the delay difference between different transmission cables, and the delay difference of the sampling circuit, that is ; represents the phase measurement value of a certain probe channel; represents the phase measurement value of another probe channel; Eliminate the delay difference of the sampling circuit. The formula is as follows: ; is the measured phase for a certain channel; Measured phase of another channel; The delay difference between different transmission cables is maximally eliminated by using equal-length cables. At the same time, for the phase residuals caused by the slight differences in the physical cable lengths, they can be solved by calibration. The formula is as follows: ; Indicates the phase measurement value of Channel 2, Indicates the phase measurement value of Channel 1.

3. The fast calibration and calculation method for improving the measurement accuracy of beam position according to claim 1, characterized in that: During the sampling process, due to and frequency differences, the phase interval between every two sampling points is . To ensure that the sampling results are not aliased, must not be lower than the modulation bandwidth of the signal B . The sampling results after two consecutive sampling quantizations are as follows: I, Q represents the sampled data; represents the Phase interval; i Indicates the i th subsampling; i+1 Indicates the i+1 th sampling; , are two consecutive sampling periods, and the sampling result data of the i th sampling and the i+1 th sampling; Further, IQ The matrix expression between the signal and the sampled result data is: This matrix expression can be further converted to: Among them, D can be simplified to , if only considering i is odd, then the above formula can be further simplified to: That is IQ For a single sampling result, in this case IQ the signal can be expressed as: N represents a complete sampling period; Based on the sampling result data, it can be shown that IQ the signal, thereby improving the calculation speed and accuracy of the system, reducing the calculation amount, further improving the repeatability and stability of the system, and reducing the DC bias error, clock jitter error, quantization error of analog-to-digital conversion and system noise, and improving the demodulation accuracy.

4. The fast calibration and calculation method for improving the measurement accuracy of beam position according to claim 1, characterized in that: Obtained by sampling IQ The data is corrected by a rotation matrix to achieve IQ the normalization operation of the data; IQ After the result passes through a digital filter, it is converted into the amplitude and phase of the signal.

5. The fast calibration and calculation method for improving the measurement accuracy of beam position according to claim 1, characterized in that: For the phase of the sampling result, adjust the phase of the sampling clock signal to sample the amplitude peak of the radio frequency signal, thereby improving the calculation result of the signal-to-noise ratio.

6. The fast calibration and calculation method for improving the measurement accuracy of beam position according to claim 1, characterized in that: It also includes the amplitudes of the signals of the four beam position detector probes calculated by the amplitude and phase calculation unit, and uses the difference sum ratio to calculate the X , Y coordinate positions of the beam.

7. The fast calibration system of the fast calibration and calculation method for improving the measurement accuracy of beam position according to claim 1, characterized in that, it includes: A radio frequency cable connected to the BPM probe, and a signal generator, a circulator, an AD sampler and a controller connected to the radio frequency cable; Add a transceiver to realize the acquisition and processing of the generated radio frequency signal and radio frequency reflection signal; The signal generator generates a radio frequency signal. Through the RF cable + circulator, the excitation signal generated by the signal generator passes through the RF cable and the circulator, and passes through BPM the electrode plate to obtain the reflected signal; The reflected signal is sampled back through the circulator and the amplitude and phase information of the corresponding signal is obtained through AD chip acquisition. Radio frequency cable and BPM probe A channel connection; Similarly, B channel, C channel, D channel can all be connected in the above manner.

Citation Information

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