CN104197966B - A kind of demodulation method of the fiber grating of anti-modulation depth drift - Google Patents
A kind of demodulation method of the fiber grating of anti-modulation depth drift Download PDFInfo
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Abstract
The invention discloses a kind of fiber grating demodulation method of anti-modulation depth drift, including：Carrier wave list frequency-doubled signal will be modulated be multiplied with interference signal, produce signal S4；Carrier wave two frequency-doubled signal will be modulated be multiplied with interference signal, produce signal S5；Low-pass filtering, is used for filtering signal S4And S5In the high frequency carrier item that carries and frequency multiplication item, obtain the two-way orthogonal sine signal item S carrying measured signal respectively6And S7；Double differential multiplication cross process steps, comprise measured signal item and the S of interference factor item for obtaining8And interference factor item S9；Signal S8With signal S9It is divided by, obtain the signal S unrelated with modulation depth C10；To signal S10It is integrated, obtain measured signal S11；High-pass filtering, filters signal S11The noise signal of middle doping, obtains final measured signal S12.The method of the present invention eliminate in traditional method demodulation result by environmental change parameter item it is suppressed that modulation depth produces on demodulation result is affected, obtain gratifying demodulation result.
Description
Technical field
The present invention relates to technical field of optical fiber sensing, the fiber grating drifting about more particularly, to a kind of anti-modulation depth
Demodulation method.
Background technology
With developing rapidly of photoelectric technology and optical information communication technology, optical fiber sensing technology is widely closed by people
Note, its development speed swift, be related to the increasingly extensive of field and also get most of the attention.Fibre Optical Sensor develops as recent two decades
Rapidly one of industry, because its electromagnetism interference, probe be little, sensitivity is high and the feature of easy networking multiplexing is widely used in army
The every field such as work, national defence, ocean, bridge.And with Fibre Optical Sensor sensitivity more and more higher, its requirement to demodulation method
Also improve therewith.
Original demodulation method is the change using spectrogrph direct measurement wavelength, but this method resolution is very low,
It is difficult in the higher detection of precision meet and require, so gradually being substituted by traditional demodulation method, such as edge filter method, F-P
Filter method, matched FBG filter method, volume holographic no grid method etc..The proposition of these traditional demodulation methods is so that demodulation method exists
It is greatly improved in performance indications, but still the requirement of high-acruracy survey can not be met.Rapid with Fibre Optical Sensor is sent out
Exhibition, the demodulation method of wavelength-interferometric formula shows one's talent, such as active zero balancing, extrapolation method, based on 3 × 3 bonder methods and phase place life
Become Carrier wave, these interfere formulas demodulation method in resolution, the linearity and dynamic range compared to traditional demodulation method
It is greatly improved again.Wherein phase generated carrier method, in addition to computing complexity, is all occupied definitely excellent in cost performance
Gesture.And the high speed development with current digital circuit and computer, this has been no longer that restriction phase generated carrier method is sent out
The factor of exhibition, therefore phase generated carrier (PGC) method are more and more extensive in the application of sensing and demodulating field, are currently that application is the widest
General fiber grating demodulation method, and various new PGC method is also arisen at the historic moment.
Classical PGC method is the PGC-DCM method being proposed first in nineteen eighty-two by US Naval Research Laboratory A.Dandridge etc.
(A.Dandridge, " Fiber-optic sensors make waves in acoustics, control, and
Navigation ", Circuits and Devices Magazine, IEEE, vol.6, pp.12-19,1990), this method
Proposition substantially increase the resolution of demodulating system, make sensory field have once big leap on demodulation direction.But this
Result easy light strong disturbance and the impact of modulation depth drift that kind of method is demodulated, for light strong disturbance impact 1994
Year, US Naval Research Laboratory T.R.Christian etc. proposes the PGC method based on arc tangent, i.e. PGC-Arctan method, substantially
Eliminate impact (T.R.Christian, P.A.Frank, and B.H.Houston, " Real- to demodulating system for the light strong disturbance
Time analog and digital demodulator for interferometric fiber optic sensors ",
In1994North American Conference on Smart Structures and Materials, 1994,
Pp.324-336), but this method can cause larger harmonic distortion due to the disturbance of modulation depth again.And modulation depth is subject to deeply
The impact of the aspects such as environment noise, especially under complicated working environment, its disturbance can be to the property of demodulation result and system
Parameter can bring serious impact.
In traditional PGC-DCM method, by demarcating single order Bezier (Bessel) function and the second order Bessel function of C value
Product, extrapolate final demodulation result, restore measured signal, when C value produces drift, deep with modulation in demodulation result
Spend relevant coefficient entry and deviate calibration value, deviation in demodulation result.In consideration of it, the present invention proposes a kind of anti-modulation depth drift
The demodulation method of the fiber grating moving, by relevant with modulation depth C value coefficient entry in traditional demodulation method of dividing out, eliminates C
The impact that the drift of value produces to system, thus improve the performance indications of system.
Content of the invention
In view of this, the main object of the present invention is to provide a kind of demodulation side of the fiber grating of anti-modulation depth drift
Method, to improve the stability of Fibre Optical Sensor demodulating system, and emphasis solves in traditional PGC method demodulation result due to modulation depth
Drift produce problem of dtmf distortion DTMF.
The invention provides a kind of demodulation method of the fiber grating of anti-modulation depth drift, comprise the following steps：
Carrier wave list frequency-doubled signal S will be modulated2With interference signal S1It is multiplied, to produce signal S4, and will by Bessel function
Signal S4Launch；
Carrier wave two frequency-doubled signal S will be modulated3With interference signal S1It is multiplied, to produce signal S5, and will by Bessel function
Signal S5Launch；
Using low-pass filtering, filter signal S4And S5In the high frequency carrier item that carries and its frequency multiplication item, obtain respectively carry by
Survey the two-way orthogonal sine signal item S of signal6And S7；
Carry out double differential multiplication crosses to process, to obtain the signal S comprising measured signal item and interference factor item8And bag
Signal S containing interference factor item9；
By signal S8With signal S9It is divided by, to eliminate S8In the interference factor item that caused due to the drift of modulation depth, obtain
Obtain the signal S unrelated with modulation depth C10；
To signal S10It is integrated, to obtain measured signal S11；
Using high-pass filtering, filter signal S11The noise signal of middle doping, obtains final measured signal S12.
Wherein, described modulation carrier wave list frequency-doubled signal S2With interference signal S1, collected by analog-digital converter.
Wherein, described modulation carrier wave two frequency-doubled signal S3It is in a computer by described modulation carrier wave list frequency-doubled signal
S2It is calculated.
Wherein, described modulation carrier wave two frequency-doubled signal S3Computing formula as follows：
S3=2 (S2)2-1.
Wherein, measured signal item and the S of interference factor item are comprised for obtaining8And interference factor item S9Described double micro-
Point multiplication cross process step comprises the following steps successively：
Step 41：First subdifferential multiplication cross is processed, to obtain signal S411And S412；
Step 42：Second subdifferential multiplication cross is processed, to obtain signal S421And S422；
Step 43：By signal S411And S412Subtract each other, obtain signal S8；
Step 44：By signal S421And S422Subtract each other, obtain signal S44；
Step 45：By signal S8Cube, obtains signal S45；
Step 46：By signal S45With signal S44It is divided by, obtain signal S46；
Step 47：To signal S46Evolution, obtains signal S9.
Wherein, the first subdifferential multiplication cross step described in step 41 obtains signal S411And S412Computing formula such as
Shown in lower：
Wherein, the coefficient before G, H carrier wave, B is the constant relevant with the visibility of light intensity and interference fringe,It is sensor
The measured signal detecting,It is the initial phase drift that static arm length difference of environment noise and interferometer etc. causes, C is modulation
Depth, Jk(C) be C kth rank Bessel function.
Wherein, the second subdifferential multiplication cross step described in step 42 obtains signal S421And S422Computing formula such as
Shown in lower：
Wherein, B is the constant relevant with the visibility of light intensity and interference fringe,It is the measured signal that sensor detects,It is the initial phase drift that static arm length difference of environment noise and interferometer etc. causes, C is modulation depth, Jk(C) it is C
Kth rank Bessel function.
Wherein, measured signal item and the S of interference factor item are comprised for obtaining8And interference factor item S9Described double micro-
Point multiplication cross process step includes the unmodifiable link of following order：
Link 1., including step 41；
2. and 3. Parallel link, can be carried out, no sequencing simultaneously；2. link includes step 43 and step 45, and link is 3.
Including step 42 and step 44；
Link is 4.：Including step 46 and step 47.
From technique scheme as can be seen that the invention has the advantages that：
The fiber grating demodulation method of the anti-modulation depth drift of the present invention, by will comprise measured signal item and interference because
The signal of subitem is divided by with the signal comprising interference factor item, eliminates the parameter being subject to environmental change in traditional method demodulation result
It is suppressed that modulation depth impact that demodulation result is produced is such that it is able to the satisfactorily stable demodulation result of acquirement.
Brief description
Fig. 1 is the flow chart of the fiber grating demodulation method of anti-modulation depth drift of the present invention；
Fig. 2 be the present invention when modulation depth change, the fiber grating that traditional demodulation method and anti-modulation depth are drifted about
The demodulation result measured drawing to identical measured signal for the demodulation method.
Specific embodiment
For making the object, technical solutions and advantages of the present invention become more apparent, below in conjunction with specific embodiment, and reference
Accompanying drawing, the present invention is described in further detail.
With reference to Fig. 1, the ultimate principle of the demodulation method of fiber grating of anti-modulation depth drift of the present invention is as follows：
Step 1：Carrier wave list frequency-doubled signal S will be modulated2With interference signal S1It is multiplied, for producing signal S4, and pass through shellfish plug
You spread out function, draw signal S4Can be analyzed to measured signal list frequency multiplication sinusoidal signal and the carrier wave item of odd number frequency multiplication is folded
Plus；
Wherein, the modulation carrier wave list frequency-doubled signal S in step 12With interference signal S1, collected by analog-digital converter.
Step 2：Modulation carrier wave two frequency-doubled signal S3With interference signal S1It is multiplied, for producing signal S5, and pass through Bezier
Function spreads out, and draws signal S5Can be analyzed to the carrier wave item superposition of measured signal two frequency multiplication cosine signal and even number frequency multiplication；
Wherein, the modulation carrier wave two frequency-doubled signal S in step 23In a computer by signal S2It is calculated.
Step 3：Using low-pass filtering, filter signal S4And S5In the high frequency carrier item that carries and its frequency multiplication item, obtain respectively
Carry the two-way orthogonal sine signal item S of measured signal6And S7；
Step 4：Carry out double differential multiplication crosses to process, include successively：
Step 41：To S6And S7Carry out the first subdifferential multiplication cross to process, to obtain signal S411And S412；
Step 42：To S6And S7Carry out the second subdifferential multiplication cross to process, to obtain signal S421And S422；
Step 43：By signal S411And S412Subtract each other, obtain signal S8；
Step 44：By signal S421And S422Subtract each other, obtain signal S44；
Step 45：By signal S8Cube, obtains signal S45；
Step 46：By signal S45With signal S44It is divided by, obtain signal S46；
Step 47：To signal S46Evolution, obtains signal S9.
Step 4 is used for obtaining the signal S comprising measured signal item and interference factor item8And comprise the letter of interference factor item
Number S9；
Step 5：By signal S8With signal S9It is divided by, for eliminating S8In the interference that caused due to the drift of modulation depth
Factor item, obtains the signal S unrelated with modulation depth C10；
Step 6：To signal S10It is integrated, for obtaining measured signal S11, S11Comprise high-frequency noise；
Step 7：Using high-pass filtering, filter signal S11The noise signal of middle doping, obtains final measured signal S12.
Wherein, described step 4 includes the unmodifiable link of following order：
Link 1., including step 41.
2. and 3. Parallel link, can be carried out, no sequencing simultaneously.2. link includes step 43 and step 45；Link is 3.
Including step 42 and step 44.
Link is 4.：Including step 46 and step 47.
Concrete step below by the demodulation method to the fiber grating that anti-modulation depth of the present invention is drifted about for the example
Suddenly it is described in detail.
The signal S of interferometer output1, single frequency multiplication carrier signal S2With double frequency carrier signal S3Can be by formula (1), (2), (3)
Represent.
S2=cos (w0t) (2)
S3=cos2 (w0t) (3)
Formula (1) is launched with Bessel function：
Wherein, A with B is the constant relevant with light intensity, and B is except relevant with light intensity, also relevant with the visibility of interference fringe；It is the measured signal that sensor detects,It is the initial phase drift that static arm length difference of environment noise and interferometer etc. causes
Move, C is modulation depth, w0It is the frequency of modulation carrier wave, Jk(C) be C kth rank Bessel function,
Step 1：Carrier wave list frequency-doubled signal S will be modulated2With interference signal S1It is multiplied, for producing signal S4, by Bezier
Functional expansion, draws signal S4Can be analyzed to the carrier wave item superposition of measured signal list frequency multiplication sinusoidal signal and odd number frequency multiplication；
Wherein, the modulation carrier wave list frequency-doubled signal S of step 12With interference signal S1, collected by analog-digital converter.
Step 2：Carrier wave two frequency-doubled signal S will be modulated3With interference signal S1It is multiplied, for producing signal S5, by Bezier
Functional expansion, draws signal S5Can be analyzed to the carrier wave item superposition of measured signal two frequency multiplication cosine signal and even number frequency multiplication；
Wherein, the modulation carrier wave two frequency-doubled signal S in step 23It is in a computer by signal S2Calculate, formula
As follows：
S3=2 (S2)2-1 (7)
Step 3：Using low-pass filtering, filter signal S4And S5In the high frequency carrier item that carries and its frequency multiplication item, obtain respectively
Carry the two-way orthogonal sine signal item S of measured signal6And S7；
S6And S7Expression formula is：
Step 4：Double differential multiplication cross process steps, step 4 includes successively：
Step 41：First subdifferential multiplication cross, for obtaining signal S411And S412, expression formula is as follows：
Wherein, G, H are the coefficients before carrier wave.
Step 42：Second subdifferential multiplication cross, for obtaining signal S421 and S422, expression formula is as follows：
Step 43：By signal S411And S412Subtract each other；
Obtain signal S by after the result of differential multiplication cross is carried out two paths of signals again subtracting each other8, signal S8Comprise and C value
Relevant interference factor item：
Step 44：By signal S421And S422Subtract each other；
Obtain the signal S that 3. link exports44For：
Step 45：To signal S8Seek cube；
Obtain the signal S that 2. link exports45For：
Step 46：By signal S44With signal S45Be divided by obtain S46；
Two Parallel link output signal contrasts can be seen that its common portion, referring to step 46, can eliminate and measured signal
Relevant part, obtains the quadratic term of interference factor：
Step 47：To signal S46Evolution；
Referring to step 47, interference factor item S finally can be drawn9Expression formula is as follows：
Step 4 is used for obtaining the signal S comprising measured signal item and interference factor item8And comprise the letter of interference factor item
Number S9, wherein, step 4 includes the unmodifiable link of following order：
Link 1., including step 41；
2. and 3. Parallel link, can be carried out, no sequencing simultaneously；2. link includes step 43 and step 45, and link is 3.
Including step 42 and step 44.
Link is 4.：Including step 46 and step 47.
Step 5：By signal S8With signal S9It is divided by, for eliminating S8In the interference that caused due to the drift of modulation depth
Factor item, obtains the signal S unrelated with modulation depth C10；
By signal S8With signal S9The cancellation interference factor that is divided by obtains signal S10Expression formula：
Step 6：To signal S10It is integrated, for obtaining measured signal S11, S11Comprise high-frequency noise；
Step 7：Using high-pass filtering, filter signal S11The noise signal of middle doping, obtains final measured signal S12.
It doesn't matter to can be seen that the drift of C value and demodulation result from the measured signal expression formula finally being reduced.
With reference to each step described in Fig. 1, for more clearly expressing the fiber grating solution of this anti-modulation depth drift
The advantage of tune method, fiber grating demodulation method and traditional PGC-DCM demodulation that the present invention drifts about to this anti-modulation depth
Method has carried out the experiment of comparative, by changing the size of modulation depth C value, show that under different C values, two methods are to identical quilt
Survey the demodulation result of signal.
With reference to Fig. 2, experimental result shows, the demodulation method of the fiber grating of anti-modulation depth drift of the present invention, for figure
The lines of the diamond indicia above shape, amplitude fluctuations very little, always situated in the top of Fig. 2 coordinate system, show by eliminating tradition
It is subject to the parameter item of environmental change in method demodulation result, successfully inhibit the impact that modulation depth produces to demodulation result；And pass
The PGC-DCM method of system, the lines of the rectangle marked below figure, in addition to the value near 2V voltage, amplitude deviation is all
Than larger.
Particular embodiments described above, has carried out detailed further to the purpose of the present invention, technical scheme and beneficial effect
Describing in detail bright it should be understood that the foregoing is only the specific embodiment of the present invention, being not limited to the present invention, all
Within the spirit and principles in the present invention, any modification, equivalent substitution and improvement done etc., should be included in the protection of the present invention
Within the scope of.
Claims (7)
1. a kind of demodulation method of the fiber grating of anti-modulation depth drift, comprises the following steps：
Carrier wave list frequency-doubled signal S will be modulated2With interference signal S1It is multiplied, to produce signal S4, and by Bessel function by signal
S4Launch；
Carrier wave two frequency-doubled signal S will be modulated3With interference signal S1It is multiplied, to produce signal S5, and by Bessel function by signal
S5Launch；
Using low-pass filtering, filter signal S4And S5In the high frequency carrier item that carries and its frequency multiplication item, obtain respectively and carry tested letter
Number two-way orthogonal sine signal item S6And S7；
Carry out double differential multiplication crosses to process, to obtain the signal S comprising measured signal item and interference factor item8And comprise to do
Disturb the signal S of factor item9, this step specifically includes：
Step 41：First subdifferential multiplication cross is processed, to obtain signal S411And S412；
Step 42：Second subdifferential multiplication cross is processed, to obtain signal S421And S422；
Step 43：By signal S411And S412Subtract each other, obtain signal S8；
Step 44：By signal S421And S422Subtract each other, obtain signal S44；
Step 45：By signal S8Cube, obtains signal S45；
Step 46：By signal S45With signal S44It is divided by, obtain signal S46；
Step 47：To signal S46Evolution, obtains signal S9；
By signal S8With signal S9It is divided by, to eliminate S8In the interference factor item that caused due to the drift of modulation depth, obtain with
The unrelated signal S of modulation depth C10；
To signal S10It is integrated, to obtain measured signal S11；
Using high-pass filtering, filter signal S11The noise signal of middle doping, obtains final measured signal S12.
2. the demodulation method of the fiber grating of anti-modulation depth drift according to claim 1, wherein said modulation carries
Ripple list frequency-doubled signal S2With interference signal S1, collected by analog-digital converter.
3. the demodulation method of the fiber grating of anti-modulation depth drift according to claim 1, wherein said modulation carries
Ripple two frequency-doubled signal S3It is in a computer by described modulation carrier wave list frequency-doubled signal S2It is calculated.
4. the demodulation method of the fiber grating of anti-modulation depth drift according to claim 3, wherein said modulation carries
Ripple two frequency-doubled signal S3Computing formula as follows：
S3=2 (S2)2-1.
5. the demodulation method of the fiber grating of anti-modulation depth drift according to claim 1, wherein described in step 41
First subdifferential multiplication cross step obtain signal S411And S412Computing formula as follows：
Wherein, the coefficient before G, H carrier wave, B is the constant relevant with the visibility of light intensity and interference fringe,It is that sensor detects
Measured signal,It is the initial phase drift that the static arm length difference of environment noise and interferometer causes, C is modulation depth, Jk
(C) be C kth rank Bessel function.
6. the demodulation method of the fiber grating of anti-modulation depth drift according to claim 1, wherein described in step 42
Second subdifferential multiplication cross step obtain signal S421And S422Computing formula as follows：
Wherein, B is the constant relevant with the visibility of light intensity and interference fringe,It is the measured signal that sensor detects,It is
The initial phase drift that the static arm length difference of environment noise and interferometer causes, C is modulation depth, Jk(C) be C kth rank shellfish
Sai Er function.
7. the demodulation method of the fiber grating of anti-modulation depth drift according to claim 1, wherein comprises for acquisition
Measured signal item and the S of interference factor item8And interference factor item S9Described pair of differential multiplication cross process step include as follows
The unmodifiable link of order：
Link 1., including step 41；
2. and 3. Parallel link, can be carried out, no sequencing simultaneously；2. link includes step 43 and step 45, and 3. link includes
Step 42 and step 44；
Link is 4.：Including step 46 and step 47.
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| CN110411334B (en) * | 2019-07-01 | 2021-04-06 | 上海工程技术大学 | Improved phase carrier PGC demodulation method and system |
| CN110635844A (en) * | 2019-11-05 | 2019-12-31 | 南京申威光电技术研究院有限公司 | Phase-sensitive optical time domain reflectometer type distributed optical fiber acoustic wave sensor based on improved PGC algorithm |
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