CN108627234B - Speed estimates vibration measurement with laser phase demodulating method - Google Patents
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- G—PHYSICS
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- G01H—MEASUREMENT OF MECHANICAL VIBRATIONS OR ULTRASONIC, SONIC OR INFRASONIC WAVES
- G01H9/00—Measuring mechanical vibrations or ultrasonic, sonic or infrasonic waves by using radiation-sensitive means, e.g. optical means
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Abstract
Speed estimates vibration measurement with laser phase demodulating method and belongs to vibration measurement with laser technical field;The phase demodulating method is the following steps are included: carry out gain and bias correction to original interference orthogonal signalling, calculate phase sequence, calculate initial displacement, it is small several to estimate speed, displacement, phase integer item and phase, according to actual phase it is small several and estimate phase it is small it is several between difference determine actual phase integral ring and actual displacement, realize phase demodulating;The present invention can solve the problems, such as that existing sample frequency is excessively high in vibration at high speed measurement and data volume is excessive for conventional phase demodulation method in homodyne Vibration measuring technique using laser interferometer, vibration measurement speed can be effectively improved, hardware cost and expansion of laser light vialog application range are reduced.
Description
Technical field
The invention belongs to vibration measurement with laser technical field, relates generally to a kind of speed and estimate vibration measurement with laser phase demodulating method.
Background technique
Homodyne vibration measurement with laser technology have structure is simple, measurement accuracy is high, wide dynamic range and it is non-linear be easy to compensate etc.
Advantage, be widely used in the measurement of displacement dynamic, vibration measurement and monitoring, ultraprecise equipment and the system integration, scientific research with
The fields such as experiment.It is high-end to mostly use four-way homodyne orthogonal laser to interfere vibration measuring side with homodyne laser vibration measurer in leading-edge field
Case obtains the orthogonal photosignal of two-way using Polarized light phase-shift interference technique, by signal processings such as phase demodulatings, realizes position
Move the high-acruracy survey with vibration.However, the application of some such as superlow frequency vibrating calibrations, semiconductor lithography needs high speed measurement
Scene proposes new challenge to homodyne vibration measurement with laser technology.
Phase demodulating is one of the key technique that homodyne vibration measurement with laser technology realizes vibration at high speed signal measurement, is limit
The principal element that measuring speed processed improves.Traditional phase demodulation algorithm can carry out phase exhibition to arctangent computation result
It opens, determines phase integer item, continuous vibration signal is obtained, according to nyquist sampling theorem, it is desirable that sample rate is greater than twice
Interference fringe change maximum frequency, with prevent phase integer item erroneous calculations (1.Greco V, Molesini G,
Quercioli F.Accurate polarization interferometer.Review of Scientific
Instruments, 1995,66 (7): 3729-3734;2.Pengcheng Hu, et.al.DC-offset homodyne
Interferometer and its nonlinearity compensation.Optics Express, 2015,23 (7):
8399-8408).However, this method in face of measure big stroke long period vibration at high speed signal when, to data acquisition processing system
Propose rigors.Such as when vibrating maximum speed is 314mm/s, interference fringe change frequency is 1MHz, it is desirable that multi-pass
Road simultaneous data-acquisition sample rate is at least 2MS/s;Secondly, the sampling number of interference signal will be up to hundreds of million, such as 0.1
In~0.01Hz vibration frequency range, vibration amplitude peak-to-peak value is 1m, single vibration period simultaneous data-acquisition acquisition points
At least 20M, while generally requiring to acquire multiple vibration period signals when actual measurement and taking its average value, there are hundreds of million numbers
According to amount.Therefore conventional phase demodulating algorithm is applied to more demanding to hardware condition when super low-frequency vibration measurement, and high-speed data is adopted
Collection, mass data transfers, storage and processing will lead to computer and the problems such as Insufficient memory, program operation crash occur.
To sum up, two main problems that phase demodulating method faces limit the interference vibration measuring technology measurement of homodyne orthogonal laser
Vibration at high speed:
(1) it when measuring vibration at high speed signal, since nyquist sampling theorem is limited, is adopted needed for high-speed data acquisition
Sample frequency is excessively high;The sampling number of interference signal is correspondingly excessive, and data volume is excessive, needs to transmit and processing mass data;
(2) measurement vibration at high speed data signal acquisition with handle part hardware performance requirements it is higher, high-performance hardware at
This is higher.
China and foreign countries researcher estimate Kalman thought and has been applied to the research in phase demodulating field and proposes each
Kind scheme (1.Tao L, Liu Z, Zhang W, et al.Frequency-scanning interferometry for
dynamic absolute distance measurement using Kalman filter.Optics Letters,
2014,39(24):6997-7000;2.Kulkarni R,Rastogi P.Phase derivative estimation from
a single interferogram using a Kalman smoothing algorithm.Optics Letters,
2015,40(16):3794-3797.).However, such scheme is on the one hand without being directed to homodyne orthogonal laser interference vibration meter in height
Phase demodulating problem when fast vibration measurement proposes solution, on the other hand can not also solve conventional phase solution in high speed measurement
Sample frequency needed for tune method bring is excessively high and the excessive problem of data volume.
To sum up, how for phase demodulating method problem in homodyne orthogonal laser vialog, providing one kind can solve high speed
The excessively high Phase Demodulation Method of Optic scheme with data volume problems of too of required sample frequency, fast to vibration measurement is effectively improved in measurement
Degree, reduction hardware cost and expansion vialog application range are all of great significance.
Summary of the invention
The purpose of the present invention is for conventional phase demodulating algorithm limitation homodyne orthogonal laser interference vibration measuring technology measurement speed
The problem of spending provides a kind of new phase demodulating method, excessively high excessive with data volume for required sample frequency in high speed measurement
The problem of carry out phase demodulating method innovation, reduce requirement of high speed when measuring to sample rate and memory, improving vialog can
The maximum speed of measurement meets the needs of vibration at high speed measurement.
The technical solution of the invention is as follows:
A kind of speed estimates vibration measurement with laser phase demodulating method, method includes the following steps:
(1) to collected original interference orthogonal signalling IxAnd IyCarry out gain and bias correction;
(2) according to IxAnd IyPhase sequence is calculated as follows
Arctan () is arctan function in formula;
(3) phase at initial two momentWithIn a striped, it is calculated as follows corresponding initial two
The displacement d at moment1And d2:
λ is optical maser wavelength in formula;
(4) for later at the time of i=3,4 ..., estimate speed, the displacement, phase integer at corresponding moment as follows
Item and phase are small several:
In formulaIt is speed, displacement, phase integer item and the small several estimation results of phase, Δ T respectively
It is sampling time interval, round () is to seek the bracket function for being rounded up to nearest integer, and rem () is to ask remaining after being divided by
Several remainder functions;Remainder function rem (x, the y)=x-ny, x and y is parameter, n=round (x/y) in formula;
(5) small several according to actual phaseWith the small several estimation results of phaseBetween difference, according to following public affairs
Formula is modified to obtain the actual phase integral ring k at corresponding momentiWith actual displacement di:
Initial two displacements d1And d2Meet | d1-d2| λ/4 <.
The good result of technological innovation and generation of the invention is:
(1) the invention proposes a kind of speed suitable for the interference vibration measuring of high speed homodyne orthogonal laser to estimate phase demodulating side
Method, this method can break through the limitation of Nyquist sampling frequency in conventional phase demodulation method, and sample frequency is made to depend on maximum
Acceleration rather than maximum speed reduce requirement of the high speed measurement to hardware sample frequency, correspondingly reduce collected
Data volume, the requirement to hardware memory spatial content reduces, to efficiently solve demodulation speed existing for prior art
Slowly, the inherent shortcoming that data volume is big, hardware requirement is high.
(2) present invention is created under the premise of homodyne orthogonal laser interference vibration meter can be made to realize that high speed measures by proposing
New Phase Demodulation Method of Optic scheme is reduced to the hard of the data acquisition and procession equipment of homodyne orthogonal laser interference vibration meter
Part performance requirement expands the application range of high-rate laser vialog to reduce hardware cost, is applied to for laser vibration measurer same
The applications such as the experiment of the exact science of Shi Yaoqiu high measurement accuracy and high measurement speed, precision engineering provide strong support.
Detailed description of the invention
Fig. 1 is the step schematic diagram that speed estimates vibration measurement with laser phase demodulating method.
Fig. 2 is required sample rate and vibration frequency relationship when measuring to maximum speed 1m/s simple harmonic oscillation.
Specific embodiment
Detailed description of the preferred embodiments with reference to the accompanying drawing.
A kind of speed estimates vibration measurement with laser phase demodulating method, method includes the following steps:
(1) to collected original interference orthogonal signalling IxAnd IyCarry out gain and bias correction;
(2) according to IxAnd IyPhase sequence is calculated as follows
Arctan () is arctan function in formula;
(3) phase at initial two momentWithIn a striped, it is calculated as follows corresponding initial two
The displacement d at moment1And d2:
λ is optical maser wavelength in formula;
(4) for later at the time of i=3,4 ..., estimate speed, the displacement, phase integer at corresponding moment as follows
Item and phase are small several:
In formulaIt is speed, displacement, phase integer item and the small several estimation results of phase, Δ T respectively
It is sampling time interval, round () is to seek the bracket function for being rounded up to nearest integer, and rem () is to ask remaining after being divided by
Several remainder functions;Remainder function rem (x, the y)=x-ny, x and y is parameter, n=round (x/y) in formula;
(5) small several according to actual phaseWith the small several estimation results of phaseBetween difference, according to following public affairs
Formula is modified to obtain the actual phase integral ring k at corresponding momentiWith actual displacement di:
Initial two displacements d1And d2Meet | d1-d2| λ/4 <.
One embodiment of the present of invention is provided below with reference to FIG. 1 to FIG. 2.In the present embodiment, speed of the present invention is estimated sharp
Flash ranging shakes phase demodulating method applied to the high speed vibration measuring of homodyne orthogonal laser interference vibration meter.The laser vibration measurer is by interference part
Divide, probe portion and data acquisition process part three parts composition, laser form orthogonal dry after interference portion and probe portion
It relates to signal and is acquired by computer and is handled.Fig. 1 is the step schematic diagram that speed estimates vibration measurement with laser phase demodulating method.
In the present embodiment, the computer in data acquisition process part is mounted with 24 PXI interface multi-channel synchronous data acquisition cards, and
Using the data acquisition process program based on software through pictures platform, pass through process control chronologically according to steps presented
Speed persistently is carried out to the interference orthogonal signalling of acquisition and estimates the digital demodulations such as phase demodulating and resolving, obtains surveyed vibration signal
Displacement and phase.
Fig. 2 is required sample rate and vibration frequency relationship when measuring to maximum speed 1m/s simple harmonic oscillation.Simple harmonic quantity vibration
Dynamic maximum speed is 1m/s, and according to nyquist sampling theorem, conventional phase demodulation method requires sample rate up to 6.32MHz,
And sample rate depends on maximum velocity.However, speed of the invention estimate vibration measurement with laser phase demodulating to frequency from 1Hz to
The vibration of 1kHz allow accordingly minimum sample rate be 6.3kHz to 200kHz, at this time sample rate depending on peak acceleration without
It is maximum speed, therefore sample rate at least reduces 95%, collected data volume also correspondingly greatly reduces.
Therefore, speed proposed by the present invention is estimated vibration measurement with laser phase demodulating method and can be broken through in conventional phase demodulation method
The limitation of Nyquist sampling frequency reduces requirement of the high speed measurement to hardware sample frequency, correspondingly reduces and acquired
Data volume, requirement to hardware memory spatial content reduces, and speed estimate the application of vibration measurement with laser phase demodulating method can
Hardware cost is reduced, the application range of laser vibration measurer is expanded.
Claims (2)
1. a kind of speed estimates vibration measurement with laser phase demodulating method, it is characterised in that method includes the following steps:
(1) to collected original interference orthogonal signalling IxAnd IyCarry out gain and bias correction;
(2) according to IxAnd IyPhase sequence is calculated as follows
Arctan () is arctan function in formula;
(3) phase at initial two momentWithIn a striped, corresponding initial two moment are calculated as follows
Displacement d1And d2:
λ is optical maser wavelength in formula;
(4) for later at the time of i=3,4 ..., estimate as follows the speed at corresponding moment, displacement, phase integer item and
Phase is small several:
In formulaIt is speed, displacement, phase integer item and the small several estimation results of phase respectively, Δ T is to adopt
Sample time interval, round () are to seek the bracket function for being rounded up to nearest integer, and rem () is to seek the remainder after being divided by
Remainder function;Remainder function rem (x, the y)=x-ny, x and y is parameter, n=round (x/y) in formula;
(5) small several according to actual phaseWith the small several estimation results of phaseBetween difference, according to following formula into
Row amendment obtains the actual phase integral ring k at corresponding momentiWith actual displacement di:
2. speed according to claim 1 estimates vibration measurement with laser phase demodulating method, it is characterised in that: described initial two
It is displaced d1And d2Meet | d1-d2| λ/4 <.
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