CN109298457A - Vibration noise correction-compensation method suitable for atomic interference gravimeter - Google Patents
Vibration noise correction-compensation method suitable for atomic interference gravimeter Download PDFInfo
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Abstract
The invention discloses a kind of vibration noise correction-compensation methods suitable for atomic interference gravimeter, comprising: the vibration signal of acquisition three dimensions of Raman light reaction mirror;Carry out the pretreatment comprising denoising with distortions correction respectively to the vibration signal of three dimensions;The coupling of the vibration signal of pretreated three dimensions is modified, phase shift caused by the vibration of revised vertical direction is obtained;Using the vibration signal of three dimensions recorded one by one in advance and the relationship of gravimeter atomic population signal, phase shift caused by the vibration of revised vertical direction is deducted, the gravimeter atomic population signal of not vibration noise is obtained.Vibration noise is substantially eliminated by using the above method, improves gravimetric sensitivity and stability.
Description
Technical field
The present invention relates to gravity measurement field more particularly to a kind of vibration noise amendments suitable for atomic interference gravimeter
Compensation method.
Background technique
Atomic interference gravimeter can measure the absolute value of acceleration of gravity, relative to traditional laser interference absolute gravity
Instrument has the advantages that measurement frequency height and potential high sensitivity, can be widely applied to inertial navigation, geophysical research, money
The fields such as source exploration.
Atom is captureed using cooling fall into of laser in atomic interference gravimeter, and is prepared through state and obtains narrowband speed later with speed is selected
Spend the atom of distribution.Atom is acted on by beam-expanding collimation device and reflecting mirror after two beams raman laser conjunction beam as shown in Fig. 1
Group, shown in Raman light 1 with the Raman light 2 propagated in opposite directions after reflecting mirror reflects meet two-photon resonance condition, can be to original
Son accelerates and slows down, to realize the beam splitting of atom, reflection, close the coherent manipulations such as beam.Phase between Raman light 1 and Raman light 2
What position was locked out, if the wave vector of Raman light 1 isAnd the wave vector of Raman light 2 isThe Equivalent Wave Vector that then atom is experienced is
As shown in Fig. 2 the interventional procedures of atomic interferometer are T three times to penetrating Raman light pulse pair with time interval
Atom carries out coherent operations.In the interventional procedures, atom phase change caused by gravity is keff gT2, wherein g adds for gravity
Speed.Raman light direction is fine-tuned to be overlapped with acceleration of gravity direction.It can be with specific to the difference for the frequency for penetrating Raman light
Rate α scans to compensate the Doppler frequency shift of atom free-falling.This atom is concerned in gravity under Raman light manipulation drills
When change, the atomic population in two ground state level can change, by measuring the available group of atomic fluorescence signal
I on population of the atom in two ground state is distributed N1And N2, to calculate the transition probability P=N of first ground state1/(N1+
N2), its calculation formula is:
P=a+bcos ((keff g-α)T2)
Wherein, a and b is fitting parameter, usually by changing the value of scan frequency rate α, to obtain one with α as cross
Coordinate, transition probability P are the sine curve of ordinate to be fitted to obtain the value of g.It certainly can also be by this calculation formula with it
Its mode obtains gravity acceleration g value.Specific atoms are prepared each time and the process for obtaining transition probability P is exactly a timing
Circulation.
In above-mentioned Raman light interventional procedures, there are many noise jammings influence atom cloth inning P measurement contrast and
Stability, actual interference curve may be expressed as:
P=a+bcos ((keffg-α)T2+ΔΦnoise),
Wherein, vibration noise is wherein most important noise source.
Illustrate how vibration impacts gravity measurement below by Fig. 1 and Fig. 2.Although Raman light 1 with
Raman light 2 be come out simultaneously from beam-expanding collimation device, but Raman light 2 be by after reflecting mirror reflection with Raman light 1 to penetrating
Atom is acted on, so when the vibration of Raman light reaction mirror, it can be by an extra phase delta ΦzIt is introduced into atom and light phase
During interaction.
Phase shift AX caused by vibratingzBe it is unknown, can in fitting introduce noise so as to cause g value measurement sensitivity drop
It is low, and if measuring and calculating ΔΦz, so that it may will vibrate bring influences removal to which the measurement for improving gravimeter is sensitive
Degree.
But the active of vibration noise effectively inhibits to be very cumbersome difficult, while will increase device complexity and
Volume, at present also without more effective solution scheme.
Summary of the invention
The object of the present invention is to provide a kind of vibration noise correction-compensation methods suitable for atomic interference gravimeter, greatly
Ground eliminates vibration noise, improves gravimetric sensitivity and stability.
The purpose of the present invention is what is be achieved through the following technical solutions:
A kind of vibration noise correction-compensation method suitable for atomic interference gravimeter, comprising:
Acquire the vibration signal of three dimensions of Raman light reaction mirror;
Carry out the pretreatment comprising denoising with distortions correction respectively to the vibration signal of three dimensions;
The coupling of the vibration signal of pretreated three dimensions is modified, the vibration of revised vertical direction is obtained
Phase shift caused by dynamic;
Using the vibration signal of three dimensions recorded one by one in advance and the relationship of gravimeter atomic population signal, deduct
Phase shift caused by the vibration of revised vertical direction obtains the gravimeter atomic population signal of not vibration noise.
As seen from the above technical solution provided by the invention, pass through the vibration of measurement three dimensions of Raman light reaction mirror
Signal simultaneously carries out integrated treatment to obtain phase shift caused by more accurate gravimeter vibrates, and deducts vibration noise using the phase shift
After obtain more accurate measurement result.
Detailed description of the invention
In order to illustrate the technical solution of the embodiments of the present invention more clearly, required use in being described below to embodiment
Attached drawing be briefly described, it should be apparent that, drawings in the following description are only some embodiments of the invention, for this
For the those of ordinary skill in field, without creative efforts, it can also be obtained according to these attached drawings other
Attached drawing.
Fig. 1 is the belted atomic vapor Raman light schematic diagram that background of invention provides;
Fig. 2 is the belted atomic vapor interventional procedures schematic diagram that background of invention provides;
Fig. 3 is a kind of vibration noise correction-compensation method suitable for atomic interference gravimeter provided in an embodiment of the present invention
Schematic diagram;
Fig. 4 is that vibration measurement module provided in an embodiment of the present invention measures formed angle when axis and inconsistent gravity direction
Schematic diagram.
Specific embodiment
With reference to the attached drawing in the embodiment of the present invention, technical solution in the embodiment of the present invention carries out clear, complete
Ground description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.Based on this
The embodiment of invention, every other implementation obtained by those of ordinary skill in the art without making creative efforts
Example, belongs to protection scope of the present invention.
The embodiment of the present invention provides a kind of vibration noise correction-compensation method suitable for atomic interference gravimeter, this method
The vibration signal of three dimensions of Raman light reaction mirror measured is subjected to integrated treatment to obtain more accurate gravimeter
Phase shift caused by vibrating obtains more accurate measurement result after deducting vibration noise using the phase shift.
In gravimeter probe, cooling fall into of laser capturees atom, and prepares through state and obtain narrowband VELOCITY DISTRIBUTION later with speed is selected
Atom, be that T three times carries out coherent operations to penetrating Raman light pulse pair atom with time interval, then in locating for atom
State is detected, and atomic population signal, and input signal acquisition processing module are obtained, in the phase for carrying out coherent operations to atom
Between record vibration signal, also input signal acquisition processing module carries out processing subduction gravity in signal acquisition process module
The vibration noise of instrument finally exports gravity acceleration g value.
The processing of four steps is carried out during signal acquisition process to reject vibration noise to improve gravimeter
Measurement sensitivity, 3 pairs for the treatment of processes are described in detail with reference to the accompanying drawing.As described in Figure 3, main process includes:
Step 1: the vibration signal of acquisition three dimensions of Raman light reaction mirror.
In the embodiment of the present invention, the vibration signal of three dimensions include: one vertical direction of Raman light reaction mirror with
And the vibration signal of two orthogonal horizontals totally three dimensions.The acquisition time section of the vibration signal of three dimensions is corresponding
Interfered the more several milliseconds of acquisition in front and back comprising entirely interfering the period in Raman interventional procedures, and in Raman.Meanwhile
The vibration signal and gravimeter atomic population signal for recording three dimensions when acquiring the vibration signal of three dimensions one by one, make three
The vibration signal and gravimeter atomic population signal of a dimension are recycled corresponding to identical timing.
The vibration signal collected is denoted asWherein i=1,2,3 ... represent i-th timing circulation,
R=1,2,3 ..., n represent the vibration signal of r-th of the record recorded in i-th timing circulation, and subscript x, y, z successively represent vibration
Dynamic two orthogonal horizontals of measurement module and a vertical output signal.And atom population is obtained in corresponding interferometer timing circulation
Counting signal isWithIt is to calculate the transition probability of the 1st ground stateWherein i=1,2,
3 ... represent i-th timing circulation.
Step 2: carrying out the pretreatment comprising denoising with distortions correction respectively to the vibration signal of three dimensions.
Described in this step pretreatment include: remove three dimensions vibration signal high frequency noise content, and correct by
Phase frequency caused by vibration measurement module bandwidth is limited and amplitude-frequency distortion;Wherein:
1, the high frequency noise content of the vibration signal of three dimensions is removed.
Using discrete Fourier transform and inverse discrete Fourier transform by the vibration signal of three dimensions in the step 1
High frequency noise content is got rid of.
For the vibration signal of any one dimension, vibration signal is transformed to by time domain first with discrete Fourier transform
Then frequency domain applies inverse discrete Fourier transform to the vibration signal of frequency domain, obtain the vibration of time domain removal high frequency noise content
Signal.In order to make it easy to understand, the mode of this realization process is provided by way of example below, it is emphasized that in following
Hold and not the mode of the process of realization is construed as limiting.
Wherein, s=1,2,3 ..., n represent the vibration signal value of record s-th record in i-th timing circulation, when s <
ρ when Rs=1, the ρ as s > RsFor adjusting specific cutoff frequency, the high-frequency signal more than frequency is making an uproar of being removed by=0, R
Sound removes high frequency noise content using this method, obtainsThe signal after high-frequency noise is as removed, wherein β=x, y,
Z successively represents two orthogonal horizontals of vibration measurement module and a vertical output signal, and i=1,2,3 ... represent i-th timing
Circulation.
2, amendment is by the limited caused phase frequency of vibration measurement module bandwidth and amplitude-frequency distortion.
Vibration measurement module bandwidth be not it is unlimited, in the frequency range for exceeding vibration measurement module bandwidth, phase frequency and amplitude-frequency
Curve can generate deviation with true vibration signal, in order to remove its phase frequency and amplitude-frequency distortion, it is necessary to obtain to measurement described
The phase frequency of vibration signal is modified with amplitude frequency curve.
In the embodiment of the present invention, phase-frequency distortion amendment is carried out using a single order phase compensation filter, then utilizes one
A changes the filter progress amplitude-frequency distortion amendment that amplitude frequency curve does not change phase frequency curve.Described change amplitude frequency curve does not change
The filter for becoming phase frequency curve includes: two low-pass filters;Wherein, the vibration signal for removing high frequency noise content first passes through
Pass through second low-pass filter after one low-pass filter, then backward.
Relevant correcting mode is provided by way of example below:
1) by the sequence of obtained removal high frequency noise content(namely following first
U in formula1(n)) pass through the time domain formula of following phase compensation filter:
2) obtained output sequence is passed through to the time domain formula of low-pass filter:
3) obtained output sequence is passed through to the time domain formula of low-pass filter as follows:
Wherein, ω1With ω0For two cut-off angular frequencies of phase compensation filter, ωcFor the angle of cut-off of low-pass filter
Frequency, Δ t are the time interval of vibration signal sampling, u1(n), n=2,3 ..., N represents the digital signal sequences of input;And u4
(n), n=2,3 ..., N represent the digital signal sequences of output, and wherein N is sequence u1(n) length.
The phase shift amendment of vibration signal is gone back by phase compensation filter for the first time, and passes twice through low pass filtered below
The sequence reversion of wave device and intermediate progress is not change the non-causal filter of phase to form a change amplitude
The amplitude correction of higher frequency band signal is gone back.The vibration signal sequence u obtained after wave filter4(n) it is Its footmark is consistent with aforementioned meaning.
Step 3: being modified to the coupling of the vibration signal of pretreated three dimensions, it is revised vertical to obtain
Phase shift caused by the vibration in direction.
1, phase shift caused by the vibration of vertical direction and two orthogonal horizontals is calculated separately.
The vibration of Raman light reaction mirror causes the shake of Raman light phase to influence gravimeter atomic population signal,
Displacement is integrated out by vibration signal and further calculates the phase jitter of Raman light, to calculate phase caused by gravimeter vibrates
It moves.
Phase shift caused by three-component gravimeter vibrates is calculated using signal of the abovementioned steps two after processed.Referring to Fig. 3
The interventional procedures of atomic interference gravimeter, it is assumed that first time to when penetrating Raman light institute it is collected be n-th0A vibration signal,
Then second is n-th to it is collected to penetrate Raman light when institute1=n0A vibration signal of+[T/ Δ t], wherein [] indicates to be rounded, and
Third time is n-th to it is collected to penetrate Raman light when institute2=n0+ 2 [T/ Δ t] a vibration signals
The calculation formula of phase shift caused by the vibration of vertical direction is as follows:
Wherein, Z (0) is displacement to reflecting mirror when penetrating Raman light pulse for the first time, and Z (T) is second to penetrating Raman light
The displacement of reflecting mirror when pulse, Z (2T) are displacement of the third time to reflecting mirror when penetrating Raman light pulse,It is vibration signal institute
Cause phase shift, keffThe Equivalent Wave Vector experienced for atom.
Phase shift caused by the vibration of two horizontal directions can be calculated using same formula:
Wherein, i=1,2,3 ... represent i-th timing circulation.
2, the coupling amendment of following two aspects is carried out.
1) removal for the crosstalk couplings that vibration measurement module introduces.
Since there are certain crosstalks between vertical signal for vibration measurement module level signal, this results in the vibration
The vertical direction of caused phase shift has certain horizontal component, thus, phase shift caused by the vibration by vertical direction subtracts certain proportion
Two orthogonal horizontals vibration caused by phase shift, obtain phase shift caused by the vibration of the vertical direction of crosstalk couplings.
The above process indicates are as follows:
In above formula, kxWith kyRepresent the coefficient of coup of two components of level.
2) removal coupled caused by the vertical measurement axis with true vertical direction of vibration measurement module are not overlapped.
Since the measurement axis of vibration measurement module is not necessarily completely coincident with gravity direction, so it measures three obtained
There are a coordinate conversion relation between phase shift caused by phase shift caused by the vibration of dimension and the vibration of true three dimensions,
Thus, phase shift caused by the vibration using three dimensions is coordinately transformed phase shift caused by obtaining the vibration of practical vertical direction.
It is described further below with reference to Fig. 4,It is overlapped respectively with the x, y, z in Fig. 4.X in Fig. 4,
Y, z respectively represents the measurement axis of two orthogonal horizontal of vibration measurement module and a vertical direction, and the V in Fig. 4 then represents gravity axis,
And θ and the angle φ indicate that the measurement axis is not overlapped two drift angles of generation with gravity direction in figure, general To
The projection of V axis direction can obtain correction formula:
In above formula,Indicate phase shift caused by the vibration of revised vertical direction.
Step 4: utilizing the vibration signal of three dimensions recorded one by one in advance and the pass of gravimeter atomic population signal
System, deducts phase shift caused by the vibration of revised vertical direction, obtains the gravimeter atomic population signal of not vibration noise.
Gravimeter population signal PiIt is obtained with abovementioned steps threeThere is following relationship:
Wherein, a is the bias of interference fringe, and b is the amplitude of interference fringe, and T is adjacent two in atomic interference gravimeter
The time interval of secondary Raman light pulse.The gravimeter phase shift that can be introduced vibration using the relationshipIt gets rid of, thus
To the atomic interference gravimeter population signal P of not vibration noisei(real)And then improve the measurement sensitivity of atomic interferometer.This
Invention can reject influence of the vibration noise to Raman light phase with effective compensation, improve belted atomic vapor gravity measurement sensitivity and
The adaptability of application environment.
Through the above description of the embodiments, those skilled in the art can be understood that above-described embodiment can
The mode of necessary general hardware platform can also be added to realize by software by software realization.Based on this understanding,
The technical solution of above-described embodiment can be embodied in the form of software products, which can store non-easy at one
In the property lost storage medium (can be CD-ROM, USB flash disk, mobile hard disk etc.), including some instructions are with so that a computer is set
Standby (can be personal computer, server or the network equipment etc.) executes method described in each embodiment of the present invention.
The foregoing is only a preferred embodiment of the present invention, but scope of protection of the present invention is not limited thereto,
Within the technical scope of the present disclosure, any changes or substitutions that can be easily thought of by anyone skilled in the art,
It should be covered by the protection scope of the present invention.Therefore, protection scope of the present invention should be with the protection model of claims
Subject to enclosing.
Claims (9)
1. a kind of vibration noise correction-compensation method suitable for atomic interference gravimeter characterized by comprising
Acquire the vibration signal of three dimensions of Raman light reaction mirror;
Carry out the pretreatment comprising denoising with distortions correction respectively to the vibration signal of three dimensions;
The coupling of the vibration signal of pretreated three dimensions is modified, the vibration institute of revised vertical direction is obtained
Cause phase shift;
Using the vibration signal of three dimensions recorded one by one in advance and the relationship of gravimeter atomic population signal, amendment is deducted
Phase shift caused by the vibration of vertical direction afterwards obtains the gravimeter atomic population signal of not vibration noise.
2. a kind of vibration noise correction-compensation method suitable for atomic interference gravimeter according to claim 1, special
Sign is that the vibration signal of three dimensions includes: one vertical direction of Raman light reaction mirror and two orthogonal horizontal sides
To the vibration signal of totally three dimensions.
3. a kind of vibration noise correction-compensation method suitable for atomic interference gravimeter according to claim 1 or 2,
It is characterized in that, the acquisition time section of the vibration signal of three dimensions corresponds to Raman interventional procedures, and interferes in Raman
The more several milliseconds of acquisition in front and back are crossed comprising entirely interfering the period.
4. a kind of vibration noise correction-compensation method suitable for atomic interference gravimeter according to claim 1 or 2,
It is characterized in that, records the vibration signal and gravimeter atom population of three dimensions one by one when acquiring the vibration signal of three dimensions
Number signal recycles the vibration signal of three dimensions and gravimeter atomic population signal corresponding to identical timing.
5. a kind of vibration noise correction-compensation method suitable for atomic interference gravimeter according to claim 1 or 2,
It is characterized in that, the vibration signal of three dimensions is carried out respectively comprising the pretreatment of denoising and distortions correction including: removal
The high frequency noise content of the vibration signal of three dimensions, and correct by the limited caused phase frequency of vibration measurement module bandwidth and amplitude-frequency
Distortion.
6. a kind of vibration noise correction-compensation method suitable for atomic interference gravimeter according to claim 5, special
Sign is that the high frequency noise content of the vibration signal of three dimensions of the removal includes: the vibration signal for any one dimension,
Vibration signal is transformed into frequency domain by time domain first with discrete Fourier transform, then the vibration signal of frequency domain is applied discrete
Inverse Fourier transform obtains the vibration signal of time domain removal high frequency noise content.
7. a kind of vibration noise correction-compensation method suitable for atomic interference gravimeter according to claim 5 or 6,
It is characterized in that, the amendment includes: with amplitude-frequency distortion by the limited caused phase frequency of vibration measurement module bandwidth
Phase-frequency distortion amendment is carried out using a single order phase compensation filter, then only changes amplitude frequency curve using one and does not change
The filter for becoming phase frequency curve carries out amplitude-frequency distortion amendment.
8. a kind of vibration noise correction-compensation method suitable for atomic interference gravimeter according to claim 7, special
Sign is that it includes: two low-pass filters that described change amplitude frequency curve, which does not change the filter of phase frequency curve,;Wherein, it removes
The vibration signal of high frequency noise content passes through second low-pass filter after first passing through first low-pass filter, then backward.
9. a kind of vibration noise correction-compensation method suitable for atomic interference gravimeter according to claim 2, special
Sign is, the coupling of the vibration signal to treated three dimensions is modified, the vibration of revised vertical direction
Caused phase shift includes:
Firstly, calculating separately phase shift caused by vertical direction and the vibration signal of two orthogonal horizontals;
Then, the coupling amendment of following two aspects is carried out:
The removal for the crosstalk couplings that vibration measurement module introduces: phase shift caused by the vibration by vertical direction subtracts a certain proportion of two
Phase shift caused by the vibration of a orthogonal horizontal obtains phase shift caused by the vibration of the vertical direction of crosstalk couplings;
The removal that the vertical measurement axis of vibration measurement module and true vertical direction couple caused by not being overlapped: three dimensions are utilized
Phase shift caused by vibrating is coordinately transformed phase shift caused by obtaining the vibration of practical vertical direction.
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CN110596785A (en) * | 2019-10-23 | 2019-12-20 | 中国人民解放军军事科学院国防科技创新研究院 | Portable vibration noise correction compensation method and device suitable for atomic interference gravimeter |
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Application publication date: 20190201 Assignee: QUANTUMCTEK Co.,Ltd. Assignor: University of Science and Technology of China Contract record no.: X2021340000028 Denomination of invention: Vibration and noise correction and compensation method for atomic interference gravimeter Granted publication date: 20200512 License type: Common License Record date: 20211026 |