Adaptive control method and system for increasing dynamic range of weak measurement sensing system

Abstract

The application provides an adaptive regulation method and system for increasing the dynamic range of a weak measurement sensing system, comprising the following steps: S1, setting a default bias point, performing preliminary measurement on the system, and obtaining a measurement value containing a to-be-measured parameter; S2, calculating a parameter estimation initial value, and controlling the parameter estimation initial value to be within a preset linear interval; S3, calculating the collected measurement value, obtaining a current parameter estimation value, and calculating the collected measurement value by using a weak measurement method to obtain a current parameter estimation value; and S4, adjusting a subsequent selected bias point according to the calculated parameter estimation value and the current bias point value, so that the system is within a weak value amplification linear interval. In the adaptive regulation method provided by the application, the system is preliminarily adjusted by using the characteristics of a general interference, i.e., a large linear interval and low sensitivity, so that the dynamic range of the system is increased while the high sensitivity is kept unchanged.

Description

Technical Field

[0001] This invention relates to the field of measurement technology, and more specifically, to an adaptive control method and system for increasing the dynamic range of a weak measurement sensing system. Background Technology

[0002] Since the introduction of weak measurement techniques, weak measurement systems have achieved sensitivity in measuring many physical quantities such as angular velocity, temperature, and sound that classical methods cannot match. Weak measurement methods include standard weak measurement, bias weak measurement, combined weak measurement, and weak measurement in general. Weak measurement combines the advantages of bias and combined weak measurement, offering sensitivity one to two orders of magnitude higher than both, and boasting a very high signal-to-noise ratio. However, the linear range of weak value amplification in weak measurement systems is constrained by sensitivity; pursuing high sensitivity results in a decrease in the linear range, while pursuing a large linear range leads to a loss of sensitivity. How to maintain high sensitivity and a large dynamic range in weak measurement systems has been a persistent challenge for researchers. Summary of the Invention

[0003] In view of the deficiencies in the prior art, the purpose of this invention is to provide an adaptive control method and system for increasing the dynamic range of a weak measurement sensing system.

[0004] An adaptive control method for increasing the dynamic range of a weak measurement sensing system, provided by the present invention, includes:

[0005] Step S1: Set the default bias point, perform preliminary measurements on the system, and obtain measurement values ​​containing the parameters to be measured;

[0006] Step S2: Solve the collected measurement values ​​to obtain the current parameter estimate. Use the weak measurement method to solve the collected measurement values ​​to obtain the current parameter estimate.

[0007] Step S3: Calculate the initial values ​​of the parameter estimates and control them within the preset linear interval;

[0008] Step S4: Based on the calculated parameter estimates and the current bias point value, adjust the selected bias point so that the system is within the weak-value amplification linear range.

[0009] Preferably, in step S1:

[0010] Step S1.1: Set the system's initial default bias point, and the initial loop count i = 0;

[0011] Step S1.2: Measure the system to obtain the measured value I containing the parameter to be measured. 11 I 12 I 21 and I22 .

[0012] Preferably, in step S2:

[0013] Step S2.1: Process the four sets of acquired signals using a general interferometric method to obtain the normalized amplitude intensity:

[0014]

[0015] The parameter estimate g0 is calculated at this time by using the relationship between the normalized amplitude intensity ΔI0 and the parameter to be measured, and then the process jumps to step S3.

[0016] Step S2.2: Process the four sets of acquired signals using a weak measurement method to obtain the normalized amplitude intensity:

[0017]

[0018] The estimated value of the parameter g1 at this time is calculated by using the relationship between the normalized amplitude intensity ΔI1 and the measured parameter. This is used as the current parameter estimate and output.

[0019] Preferably, in step S3:

[0020] Based on the obtained parameter estimate g0, determine whether it is within the interval (g - ,g + If the value is within the range, then the weak measurement method is used to solve the collected measurement values ​​to obtain the current parameter estimate; if the value is not within the range, then proceed to step S4.

[0021] Preferably, in step S4:

[0022] Based on the calculated parameter estimate g0 and the current bias point value, the selected bias point is adjusted to the new bias point g. ci Record the offset point at this time.

[0023] An adaptive control system for increasing the dynamic range of a weak measurement sensing system, according to the present invention, comprises:

[0024] Module M1: Sets the default bias point, performs preliminary measurements on the system, and obtains measurement values ​​containing the parameters to be measured;

[0025] Module M2: It calculates the collected measurement values ​​to obtain the current parameter estimate. It uses a weak measurement method to calculate the collected measurement values ​​to obtain the current parameter estimate.

[0026] Module M3: Calculates the initial values ​​of parameter estimates and controls them to remain within a preset linear range;

[0027] Module M4: Based on the calculated parameter estimates and the current bias point value, adjust the selected bias point to keep the system within the weak-value amplification linear range.

[0028] Preferably, in module M1:

[0029] Module M1.1: Sets the system's initial default bias point, with an initial loop count of i = 0;

[0030] Module M1.2: Performs measurements on the system to obtain measured values ​​I containing the parameters to be measured. 11 I 12 I 21 and I 22 .

[0031] Preferably, in module M2:

[0032] Module M2.1: Processes the four sets of acquired signals using general interferometry to obtain normalized amplitude intensity.

[0033]

[0034] The parameter estimate g0 is calculated at this time by using the relationship between the normalized amplitude intensity ΔI0 and the parameter to be measured, and then the process jumps to module M3;

[0035] Module M2.2: Processes the four sets of acquired signals using a weak measurement method to obtain the normalized amplitude intensity.

[0036]

[0037] The estimated value of the parameter g1 at this time is calculated by using the relationship between the normalized amplitude intensity ΔI1 and the measured parameter. This is used as the current parameter estimate and output.

[0038] Preferably, in module M3:

[0039] Based on the obtained parameter estimate g0, determine whether it is within the interval (g - ,g + If the value is within the range, the weak measurement method is used to solve the collected measurement values ​​to obtain the current parameter estimate; if the value is not within the range, module M4 is executed.

[0040] Preferably, in module M4:

[0041] Based on the calculated parameter estimate g0 and the current bias point value, the selected bias point is adjusted to the new bias point g. ci Record the offset point at this time.

[0042] Compared with the prior art, the present invention has the following beneficial effects:

[0043] 1. In the adaptive control method provided by the present invention, the system is initially adjusted by utilizing the large linear range and low sensitivity characteristics of general interference, which can increase the dynamic range of the system while maintaining high sensitivity.

[0044] 2. This invention utilizes the high sensitivity of weak measurements to ensure high sensitivity during system measurements. Attached Figure Description

[0045] Other features, objects, and advantages of the present invention will become more apparent from the following detailed description of non-limiting embodiments with reference to the accompanying drawings:

[0046] Figure 1 A flowchart of a weak measurement adaptive control method;

[0047] Figure 2 Optical path diagram for a weak measurement system;

[0048] Figure 3 To use general interferometry to analyze measurement data I 11 I 12 I 21 and I 22 The relationship between the normalized amplitude intensity ΔI and the measured time delay τ is obtained by performing the calculation;

[0049] Figure 4 To use the weak measurement method to measure data I 11 I 12 I 21 and I 22 The relationship between the normalized amplitude intensity ΔI and the measured time delay τ is obtained by performing the calculation;

[0050] Figure 5 This is a comparison diagram of the general interferometry method and the weak measurement method. The bolded part in the diagram represents the set linear interval.

[0051] Figure 6 A comparison graph of the general interferometry method and the weak measurement method (horizontal axis stretched). Detailed Implementation

[0052] The present invention will now be described in detail with reference to specific embodiments. These embodiments will help those skilled in the art to further understand the present invention, but do not limit the invention in any way. It should be noted that those skilled in the art can make several changes and improvements without departing from the concept of the present invention. These all fall within the protection scope of the present invention.

[0053] Example 1:

[0054] This invention provides an adaptive control method and system for increasing the dynamic range of a weak measurement sensing system. The method includes setting a default bias point, performing a measurement on the system to obtain a measurement value containing information about the parameter to be measured, calculating the parameter estimate using a general interferometric method, and determining whether it is within the linear interval. If it is not within the linear interval, the method calculates the parameter estimate and the default bias point again, adjusts the bias point to a new one, and then measures again to determine if it is within the linear interval. If it is within the linear interval, the method calculates and outputs the parameter estimate using a weak measurement method.

[0055] An adaptive control method for increasing the dynamic range of a weak measurement sensing system, as provided by the present invention, is as follows: Figures 1-6 As shown, it includes:

[0056] Step S1: Set the default bias point, perform preliminary measurements on the system, and obtain measurement values ​​containing the parameters to be measured;

[0057] Specifically, in step S1:

[0058] Step S1.1: Set the system's initial default bias point, and the initial loop count i = 0;

[0059] Step S1.2: Measure the system to obtain the measured value I containing the parameter to be measured. 11 I 12 I 21 and I 22 .

[0060] Step S2: Solve the collected measurement values ​​to obtain the current parameter estimate. Use the weak measurement method to solve the collected measurement values ​​to obtain the current parameter estimate.

[0061] Specifically, in step S2:

[0062] Step S2.1: Process the four sets of acquired signals using a general interferometric method to obtain the normalized amplitude intensity:

[0063]

[0064] The parameter estimate g0 is calculated at this time by using the relationship between the normalized amplitude intensity ΔI0 and the parameter to be measured, and then the process jumps to step S3.

[0065] Step S2.2: Process the four sets of acquired signals using a weak measurement method to obtain the normalized amplitude intensity:

[0066]

[0067] The estimated value of the parameter g1 at this time is calculated by using the relationship between the normalized amplitude intensity ΔI1 and the measured parameter. This is used as the current parameter estimate and output.

[0068] Step S3: Calculate the initial values ​​of the parameter estimates and control them within the preset linear interval;

[0069] Specifically, in step S3:

[0070] Based on the obtained parameter estimate g0, determine whether it is within the interval (g - ,g + If the value is within the range, then the weak measurement method is used to solve the collected measurement values ​​to obtain the current parameter estimate; if the value is not within the range, then proceed to step S4.

[0071] Step S4: Based on the calculated parameter estimates and the current bias point value, adjust the selected bias point so that the system is within the weak-value amplification linear range.

[0072] Specifically, in step S4:

[0073] Based on the calculated parameter estimate g0 and the current bias point value, the selected bias point is adjusted to the new bias point g. ci Record the offset point at this time.

[0074] Example 2:

[0075] Example 2 is a preferred embodiment of Example 1, and is used to illustrate the present invention in more detail.

[0076] The present invention also provides an adaptive control system for increasing the dynamic range of a weak measurement sensing system. The adaptive control system for increasing the dynamic range of a weak measurement sensing system can be implemented by executing the process steps of the adaptive control method for increasing the dynamic range of a weak measurement sensing system. That is, those skilled in the art can understand the adaptive control method for increasing the dynamic range of a weak measurement sensing system as a preferred embodiment of the adaptive control system for increasing the dynamic range of a weak measurement sensing system.

[0077] An adaptive control system for increasing the dynamic range of a weak measurement sensing system, according to the present invention, comprises:

[0078] Module M1: Sets the default bias point, performs preliminary measurements on the system, and obtains measurement values ​​containing the parameters to be measured;

[0079] Specifically, in module M1:

[0080] Module M1.1: Sets the system's initial default bias point, with an initial loop count of i = 0;

[0081] Module M1.2: Performs measurements on the system to obtain measured values ​​I containing the parameters to be measured. 11 I 12 I 21 and I 22 .

[0082] Module M2: It calculates the collected measurement values ​​to obtain the current parameter estimate. It uses a weak measurement method to calculate the collected measurement values ​​to obtain the current parameter estimate.

[0083] Specifically, in module M2:

[0084] Module M2.1: Processes the four sets of acquired signals using general interferometry to obtain normalized amplitude intensity.

[0085]

[0086] The parameter estimate g0 is calculated at this time by using the relationship between the normalized amplitude intensity ΔI0 and the parameter to be measured, and then the process jumps to module M3;

[0087] Module M2.2: Processes the four sets of acquired signals using a weak measurement method to obtain the normalized amplitude intensity.

[0088]

[0089] The estimated value of the parameter g1 at this time is calculated by using the relationship between the normalized amplitude intensity ΔI1 and the measured parameter. This is used as the current parameter estimate and output.

[0090] Module M3: Calculates the initial values ​​of parameter estimates and controls them to remain within a preset linear range;

[0091] Specifically, in module M3:

[0092] Based on the obtained parameter estimate g0, determine whether it is within the interval (g - ,g + If the value is within the range, the weak measurement method is used to solve the collected measurement values ​​to obtain the current parameter estimate; if the value is not within the range, module M4 is executed.

[0093] Module M4: Based on the calculated parameter estimates and the current bias point value, adjust the selected bias point to keep the system within the weak-value amplification linear range.

[0094] Specifically, in module M4:

[0095] Based on the calculated parameter estimate g0 and the current bias point value, the selected bias point is adjusted to the new bias point g. ci Record the offset point at this time.

[0096] Example 3:

[0097] Example 3 is a preferred example of Example 1, and is used to illustrate the present invention in more detail.

[0098] To address the shortcomings of existing technologies, the purpose of this invention is to provide an adaptive control method and system for increasing the dynamic range of a weak measurement sensing system, which can greatly increase its dynamic range while maintaining high sensitivity.

[0099] like Figure 1 As shown, an adaptive control method for increasing the dynamic range of a weak measurement sensing system according to the present invention includes:

[0100] Weak measurement steps: Set the default bias point, perform a preliminary measurement on the system, and obtain a set of measurement values ​​containing the parameters to be measured.

[0101] Judgment steps: Based on the parameter estimates calculated by the adaptive method, determine whether they are within the specified linear interval.

[0102] The adaptive method calculation steps are as follows: First, the collected measurement values ​​are solved using a general interferometric method to obtain the current parameter estimate; Second, the collected measurement values ​​are solved using a weak measurement method to obtain the current parameter estimate.

[0103] The subsequent bias point adjustment step: Based on the parameter estimates obtained from the first step of the adaptive method and the current bias point value, the subsequent bias point is adjusted so that the system is within the weak-value amplification linear range.

[0104] Preferably, the weak measurement step is as follows:

[0105] A1: Set the system's initial default bias point, and the initial loop count i = 0;

[0106] A2: Perform a measurement on the system to obtain a set of measured values ​​I containing the parameter to be measured. 11 I 12 I 21 and I 22 Jump to step C1;

[0107] Preferably, the determination step is as follows:

[0108] B1: Based on the parameter estimate g0 obtained in step C1, determine whether it falls within the interval (g... - ,g +If the value is within the range, proceed to step C2; otherwise, proceed to step D1.

[0109] Preferably, the adaptive method calculation steps include:

[0110] C1: The four sets of acquired signals are processed using general interferometry to obtain the normalized amplitude intensity: The parameter estimate g0 is calculated at this time by using the relationship between the normalized amplitude intensity ΔI0 and the parameter to be measured, and then the process jumps to step B1.

[0111] C2: The four sets of signals acquired were processed using a weak measurement method to obtain the normalized amplitude intensity: The estimated value of the parameter g1 at this time is calculated by using the relationship between the normalized amplitude intensity ΔI1 and the measured parameter. It is used as the current parameter estimate and output.

[0112] Preferably, the post-selection adjustment step includes:

[0113] D1: Based on the parameter estimate g0 calculated in step C1 and the current bias point value, adjust the selected bias point to the new bias point g. ci Record the bias point at this time, increment the loop count by 1, and jump to step A2.

[0114] An adaptive control system for increasing the dynamic range of a weak measurement sensing system, as provided by the present invention, is as follows: Figure 2 As shown, it includes:

[0115] Weak measurement module: Set the default bias point and the initial loop count i=0, perform a preliminary measurement on the system, and obtain a set of measurement values ​​containing the parameters to be measured.

[0116] Judgment module: Based on the parameter estimates calculated by the adaptive method, determine whether they are within the specified linear interval.

[0117] Adaptive method calculation module: First step, use general interferometry to solve the collected measurement values ​​to obtain the current parameter estimate; Second step, use weak measurement method to solve the collected measurement values ​​to obtain the current parameter estimate.

[0118] The subsequent bias point adjustment module adjusts the subsequent bias point based on the parameter estimates obtained from the first step of the adaptive method and the current bias point value, so that the system is within the weak value amplification linear range.

[0119] Preferably, the weak measurement module includes:

[0120] Pre- and post-selection modules: Set the initial bias point of the system. The signal light emitted by the signal source is filtered by the pre-selection module of the system, then undergoes weak interaction to carry the information of the parameter to be measured, and then the signal light is processed by the post-selection module.

[0121] Data acquisition module: The binary detection module is used to acquire data from the signal light after the post-selection processing.

[0122] Preferably, the judgment module includes:

[0123] Based on the parameter estimate g0 calculated in the first step of the adaptive method, determine whether it falls within the interval (g - ,g + If the value is within the linear interval, proceed to the second step of the adaptive method; if it is not within the linear interval, proceed to the bias point adjustment step.

[0124] Preferably, the adaptive method calculation module includes:

[0125] The current parameter estimate g0 is obtained by solving the collected measurement values ​​using a general interferometric method; the current parameter estimate g1 is obtained by solving the collected measurement values ​​using a weak measurement method.

[0126] Preferably, the post-selection adjustment module includes:

[0127] Based on the parameter estimate g0 obtained from the first step of the adaptive method and the current bias point value, the selected bias point is adjusted to a new bias point g. ci Record the offset point at this time.

[0128] Example 4:

[0129] Example 4 is a preferred example of Example 1, which is used to illustrate the present invention in more detail.

[0130] The following uses the adaptive control method and system for increasing the dynamic range of a weak measurement sensing system provided by the present invention to estimate the time delay parameters of a time delay system. Weak measurement technology is used to amplify the measurement of the micro-delay of the system, and the post-selection bias point of the system is adjusted through an adaptive calculation method. Finally, a high-precision time delay estimate is obtained while giving the system a larger dynamic range.

[0131] Before measurement, the mathematical model of the adaptive control method is established as follows:

[0132] Let the preselection of the dual weak measurement system be |φ i >, the subsequent selection state is |φ f1 > and |φ f2The initial state of the probe is |φ>, where |φ>=∫dωφω)|ω>, and φ(ω) is the wave function; the initial states of the system and the probe are described as follows:

[0133]

[0134] The weak coupling between the system and the probe is described as follows:

[0135]

[0136] in, The system eigenvalue is represented as 1 or -1, and g represents the coupling strength. In this example, the coupling strength is the measured time delay τ.

[0137] After the weak coupling process and the post-selection process, the final state of the weak measurement system is:

[0138]

[0139]

[0140] In the formula, It is a weak value. After the subsequent selection, the probability of subsequent selection of the measuring device can be described as:

[0141] P1(ω)=|<ω|Ψ f1 >| 2 =<φ f1 |φ i >| 2 P0(ω)ζ1(ω,g)

[0142] P2(ω)=|<ω|Ψ f2 >| 2 =<φ f2 |φ i >| 2 P0(ω)ζ2(ω,g)

[0143] In the formula, P0(ω)=|φ(ω)| 2 Let ζ represent the initial probability distribution (pointer spectrum), and ζ 1, (ω,g) satisfies:

[0144] ζ1(ω,g)=cos 2 (gω)+sin 2 (gω)|A ω1 | 2 +sin2(gω)ImA ω1

[0145] ζ2(ω,g)=cos 2 (gω)+sin 2 (gω)|Aω2 | 2 +sin2(gω)ImA ω2

[0146] The light intensity of the two channels is detected using a binary detection module, with ω0 being the center wavelength of the initial spectrum, resulting in four light intensity signals:

[0147]

[0148] The normalized amplitude intensity is obtained using the general interferometry method: The light intensity signal carries coupling strength information. When g is very small, the mathematical relationship between the normalized amplitude intensity and the coupling strength can be calculated using mathematical methods: ΔI0≈k0g, where k0 is a coefficient value. This yields the initial coupling strength g0 of the current system. Then, the computer calculates the required adjustment of the post-selection bias point offset based on the initial coupling strength and the current bias point, and adjusts the post-selection bias point to bring the system to a new bias point g. c .

[0149] The normalized amplitude intensity is determined using a weak measurement method: Similarly, when g is very small, the mathematical relationship between the normalized amplitude strength and the coupling strength can be calculated using mathematical methods: ΔI1=k1g, where k1 is the coefficient value, to obtain the current system coupling strength g1.

[0150] The specific implementation steps in the time delay system are as follows:

[0151] like Figure 2 As shown, light source 1 is an LED light source, emitting an unpolarized light field with a center wavelength of 1550nm; the light is polarized by polarizer 2 to complete the preparation of the pre-selected state. Polarizer 2 is a linear polarizer with the optical axis at 45°. At this time, the pre-selected state of the system is:

[0152]

[0153] In the formula, |H> represents the horizontal polarization state, and |V> represents the horizontal polarization state.

[0154] The signal light enters the time delay sensing module 3 to complete the weak coupling process. The time delay sensing module is composed of a birefringent crystal. When this birefringent crystal rotates counterclockwise by a certain angle about the optical axis, there will be a very weak time interval 2τ between the horizontal polarization component and the vertical polarization component of the selected light. The weak coupling process is described as follows:

[0155]

[0156] After the signal light carrying time delay information enters the polarization state, it is selected and then enters the electro-optic phase modulator 4. The electro-optic phase modulator functions similarly to a birefringent crystal, generating a weak bias delay 2β between the horizontal and vertical polarization components of the signal light. The time delay between the horizontal and vertical polarization components can be controlled by applying a voltage to the electro-optic phase modulator; described as:

[0157]

[0158] The signal light then enters the wavelength-independent quarter-wave plate 5 and the wavelength-independent quarter-wave plate 6. The optical axis of the quarter-wave plate 5 is along the (45°+2ε) direction, and the optical axis of the wave plate 6 is along the 0° direction. The signal light then passes through the polarization beam splitter 7, and the two split signal lights enter the binary detector respectively.

[0159] The 1 / 4 wave plate 6 and the polarization beam splitter constitute the polarization state projection:

[0160]

[0161]

[0162] The electro-optic phase modulator, quarter-wave plate 5, quarter-wave plate 6, and polarization beam splitter together constitute the post-selection, described as follows:

[0163]

[0164]

[0165] The spectra of the dual-output optical signals are as follows:

[0166]

[0167]

[0168] in, This represents the angular frequency distribution of the initial input light, where ω0 is the center wavelength of the initial input light emitted by the light source, and σ represents the linewidth of the input light.

[0169] The two selected light beams then enter the binary detector 8 for data acquisition, resulting in the acquisition of four signals:

[0170]

[0171] Where ω0 is the center wavelength of the initial light emitted by the light source.

[0172] The adaptive control steps are as follows:

[0173] Step 1: Select the appropriate option before proceeding. and subsequent selection Set the initial bias point of the system and the initial number of loops i = 0.

[0174] Step 2: Perform a preliminary measurement on the system to obtain a set of measured values ​​I containing the parameters to be measured. 11 I 12 I 21 and I 22 .

[0175] Step 3: Process the four sets of signals initially acquired using general interferometry. When the time delay τ is very small, obtain the normalized amplitude intensity: The parameter estimate at this time is calculated by using the relationship between the normalized amplitude intensity ΔI0 and the measured parameter τ, and is denoted as τ0.

[0176] Step 4: Based on the parameter estimate τ0 obtained in Step 3, determine whether it falls within the interval (τ). - ,τ + If the range is within the specified range, proceed to step 5; if it is within the specified range, proceed to step 6.

[0177] Step 5: Based on the value of τ0 and the current bias point, calculate the voltage value that should be adjusted, and adjust the voltage value U0 applied to the electro-optic phase modulator to the new bias point τ. ci Record the current bias point, increment the loop count by 1, and then continue to step 2.

[0178] Step 6: Process the four sets of signals acquired in Step 3 using a weak measurement method. When the time delay τ is very small, obtain the normalized amplitude intensity: The parameter estimate at this point is calculated using the relationship between the normalized amplitude intensity ΔI1 and the measured parameter τ, and denoted as τ1. It is used as the current parameter estimate and output.

[0179] In the above measurements, the interval (τ) is defined. - ,τ + The x-coordinate interval corresponding to the peak values ​​on both sides of the center point is half of the interval. If the current time delay τ0 is measured to be outside the linear interval, the relationship between the time delay and the amplitude intensity can be plotted using a general interferometric method, as shown below. Figure 3 As shown, the weak interaction is denoted as Then, the voltage value U0 applied to the electro-optic phase modulator is adjusted using feedback, and its effect is denoted as... The weak interactions of the entire system at this point are denoted as . The offset point at this point is denoted as τ. ci =β0, and then repeat this measurement and judgment process until g is satisfied. - ≤τ0≤g +This operation roughly modulates the system within the linear range of weak amplification. If the measured time delay τ0 is within the linear range, the relationship between the time delay and the amplitude intensity can be plotted using the weak measurement method as follows: Figure 4 As shown, the current system state τ1 is obtained using the weak measurement method, so that... It is used as the current parameter estimate and output.

[0180] In the above adaptive control, increasing the dynamic range is reflected in, for example, Figure 3 and Figure 4 As shown, when calculating the system's time delay τ using general interferometry and weak measurement methods, both methods exhibit linearity near zero when the time delay τ is extremely small. However, they differ in that... Figure 5 As shown, the linear interval length of general interferometry is much larger than that of weak measurement methods, and the sensitivity of general interferometry is also much lower than that of weak measurement methods. Figure 6 As shown, by measuring a ΔI using a general interferometric method, a time delay τ can be uniquely determined within half a period near the zero point. The interval of half a period is (-6.5 × 10⁻⁶). -16 6.5×10 -16 The linear interval determined by the weak measurement is (-4×10). -18 4×10 -18 By using the adaptive method employed in this invention, the original weak measurement high sensitivity and small linear range can be maintained. By adding a general interferometric solution method, the measurement range can be expanded, and the bias point that exceeds the linear range can be pulled back into the linear range. The measurement range is 100 times that of the weak measurement linear range, which means the dynamic range is expanded by 100 times.

[0181] Those skilled in the art will understand that, in addition to implementing the system, apparatus, and their modules provided by this invention in purely computer-readable program code, the same program can be implemented in the form of logic gates, switches, application-specific integrated circuits, programmable logic controllers, and embedded microcontrollers by logically programming the method steps. Therefore, the system, apparatus, and their modules provided by this invention can be considered a hardware component, and the modules included therein for implementing various programs can also be considered structures within the hardware component; alternatively, modules for implementing various functions can be considered both software programs implementing the method and structures within the hardware component.

[0182] Specific embodiments of the present invention have been described above. It should be understood that the present invention is not limited to the specific embodiments described above, and those skilled in the art can make various changes or modifications within the scope of the claims, which do not affect the essence of the present invention. Unless otherwise specified, the embodiments and features described in this application can be arbitrarily combined with each other.

Claims

1. An adaptive control method for increasing the dynamic range of a weak measurement sensing system, characterized in that, include: Step S1: Set the default bias point, perform preliminary measurements on the system, and obtain measurement values ​​containing the parameters to be measured; Step S2: Solve the collected measurement values ​​to obtain the initial values ​​of parameter estimation; The four sets of acquired signals were processed using general interferometry to obtain the normalized amplitude intensity: Using normalized amplitude intensity The relationship between the parameter to be measured and the parameter to be measured is used to calculate the initial value of the parameter estimate. And then proceed to step S3; Step S3: Calculate the initial values ​​of the parameter estimates and control them within the preset linear interval; Estimate initial values ​​based on the obtained parameters Determine whether it is within the interval Inside; if in Within the interval, the weak measurement method is used to solve the collected measurement values ​​to obtain the current parameter estimate. If it is not within the interval, proceed to step S4; The four sets of signals were processed using a weak measurement method to obtain the normalized amplitude intensity: Using normalized amplitude intensity The relationship between the parameter and the parameter to be measured is used to calculate the estimated value of the parameter at this time. ,by As the current parameter estimate and output; Step S4: Based on the calculated parameter estimates and the current bias point value, adjust the selected bias point so that the system is within the preset linear range, then jump to step S1 to perform preliminary measurement of the system and obtain the measurement values ​​containing the parameters to be measured. Estimating initial values ​​based on calculated parameters And the current bias value, and then adjust the selected bias point to the new bias point. Record the offset point at this time.

2. The adaptive control method for increasing the dynamic range of a weak measurement sensing system according to claim 1, characterized in that, In step S1: Step S1.1: Set the system's initial default bias point, and the initial loop count i = 0; Step S1.2: Measure the system to obtain the measured values ​​containing the parameters to be measured. , , and .

3. An adaptive control system for increasing the dynamic range of a weak measurement sensing system, characterized in that, include: Module M1: Sets the default bias point, performs preliminary measurements on the system, and obtains measurement values ​​containing the parameters to be measured; Module M2: Solve the collected measurement values ​​to obtain the initial values ​​of parameter estimates; The four sets of acquired signals were processed using general interferometry to obtain the normalized amplitude intensity: Using normalized amplitude intensity The relationship between the parameter to be measured and the parameter to be measured is used to calculate the initial value of the parameter estimate. And jump to module M3; Module M3: Calculates the initial values ​​of parameter estimates and controls them to remain within a preset linear range; Estimate initial values ​​based on the obtained parameters Determine whether it is within the interval Inside; if in Within the interval, the weak measurement method is used to solve the collected measurement values ​​to obtain the current parameter estimate. If it is not within the range, then proceed to module M4; The four sets of signals were processed using a weak measurement method to obtain the normalized amplitude intensity: Using normalized amplitude intensity The relationship between the parameter and the parameter to be measured is used to calculate the estimated value of the parameter at this time. ,by As the current parameter estimate and output; Module M4: Based on the calculated parameter estimates and the current bias point value, adjust the selected bias point to make the system within the preset linear range, then jump to module M1 to perform preliminary measurements on the system and obtain measurement values ​​containing the parameters to be measured. Estimating initial values ​​based on calculated parameters And the current bias value, and then adjust the selected bias point to the new bias point. Record the offset point at this time.

4. The adaptive control system for increasing the dynamic range of a weak measurement sensing system according to claim 3, characterized in that, In module M1: Module M1.1: Sets the initial default bias point of the system, with an initial loop count of i=0; Module M1.2: Performs measurements on the system to obtain measured values ​​containing the parameters to be measured. , , and .

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