CN108225385A - A kind of overlapping FBG transducing signal peak value localization methods - Google Patents
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- G01D5/26—Mechanical means for transferring the output of a sensing member; Means for converting the output of a sensing member to another variable where the form or nature of the sensing member does not constrain the means for converting; Transducers not specially adapted for a specific variable characterised by optical transfer means, i.e. using infrared, visible, or ultraviolet light
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Abstract
The present invention relates to a kind of overlapping FBG transducing signal peak value localization methods, belong to the Fibre Optical Sensor signal processing research field of Photoelectric Detection.This method is handled FBG reflection signals using continuous wavelet transform, eliminates influence of the signal noise to peak value positioning accuracy；Using wavelet ridge peak-seeking algorithm, with the continuity of extreme value under different scale, the first anchor point of peak value of wave crest overlapping FBG signals is obtained；Wavelet ridge peak-seeking algorithm is improved by Singular Value Decomposition Using, extraction can characterize the wavelet ridge of FBG reflection signal local feature information, reject the pseudo- maximum for influencing peak value positioning；With reference to the energy and signal-to-noise ratio of peak value, to obtain the accurate peak point of final overlap peak.This method can effectively solve the wave crest overlap problem of FBG reflection signals.
Description
Technical field
The present invention relates to a kind of Fibre Optical Sensor signal processing method, more particularly, to a kind of overlapping FBG transducing signal peak values
Localization method.
Background technology
Fiber bragg grating (Fiber Bragg Grating, FBG) sensor is superior under harsh environment by it
Reliability, higher precision and sensitivity and the advantages that electromagnetic interference is immunized, are widely used in electric power, building, chemical industry etc.
Field.Its demodulation principle is to be treated by detecting the Bragg center wavelength shifts because caused by changing external environment to realize
Survey the measurement of environment parameter.In practical engineering application, the accuracy of detection of FBG sensor in addition to senser element self character it
Outside, it is mainly determined by sensor-based system demodulation ability.For FBG sensing demodulating systems, resolution capability is that judgement system is good
Bad standard, and can high-precision peak value location algorithm be the key that guarantee system reach this standard.It is, thus, sought for
A kind of high-precision peak value location algorithm causes system to reach higher peak value recognition capability.
Common peak value location algorithm has direct comparison method, polynomial fitting method, gaussian curve approximation method, wherein directly comparing
Compared with method to background information sensitivity, computation complexity is low, and noiseproof feature is poor, is only suitable for finding isolated peak, is not suitable for complexity
Signal peak-seeking；Polynomial fitting method needs to carry out polynomial transformation to gathered data, and signal waveform is required strictly, with signal
Waveform is gradually deviated from the shape of quadratic standard forms, and peak value position error is bigger, and peak-seeking adaptive ability is poor；Gaussian curve is intended
Although legal have high-precision peak-seeking effect, it is not suitable for the automatic peak-seeking of entire signal.
In recent years, the peak value location algorithm based on continuous wavelet transform has been increasingly becoming what peak value identification field was paid attention to
Research hotspot, this method can not only reduce the interference that noise positions signal peak, and with higher Peak detection accuracy.
Continuous wavelet transform has started to identify that wherein crestal line peak-seeking algorithm is also in a variety of research fields suitable for the peak value of mass spectrometric data
It is applied.
Invention content
It is an object of the present invention to overcome the above-mentioned drawbacks of the prior art and provide a kind of overlapping FBG sensing letters
Number peak value localization method, it is fixed that this method can be used for the adaptive of FBG transducing signals being overlapped to wave crest portions, high precision peak
Position.
The purpose of the present invention can be achieved through the following technical solutions：
A kind of overlapping FBG transducing signal peak value localization methods, include the following steps：
S1 handles FBG transducing signals using continuous wavelet transform, obtains wavelet conversion coefficient matrix W Tf(a,
τ)；
S2 using Singular Value Decomposition Using method, chooses the larger preceding several singular values of numerical value, to WTf(a, τ) is reconstructed, and is obtained
Wavelet conversion coefficient matrix W T' after to reconstructf(a,τ)；
S3 using wavelet ridge peak-seeking algorithm, obtains corresponding to matrix W T'fThe crestal line of (a, τ)；
S4 extracts signal characteristic using accurate Location of ridge axis, obtains final wave crest number and crest location.
In the step S1, using sombrero function as wavelet mother function.
The step S2 specifically includes following steps：
S21, to WTf(a, τ) carries out Singular Value Decomposition Using；
S22 by singular value by sorting from big to small, takes first three singular value, to WTf(a, τ) is reconstructed, and is reconstructed
Wavelet conversion coefficient matrix W T' afterwardsf(a,τ)；
The step S3 specifically includes following steps：
S31 takes extremum method to obtain WT' according to 5 pointsfThe maximum of (a, τ) each row；
S32, if on a certain row, matrix of wavelet coefficients row maximum is continuous in 3 scales, by the company of this 3 maximum
Line is considered as a crestal line；
S33 records the position of every crestal line to obtain accurate peak position.
Described 5 points take the extremum method to be specially：The point for meeting following formula is the maximum point in five points, wherein, i, j
Corresponding to matrix W Tf' row and column, behavior scale is classified as the time,
The step of step S4 includes rejecting the peak value of energy and signal-to-noise ratio less than given threshold.
Compared with prior art, FBG reflection signals (having wave crest overlapping phenomenon) are carried out continuous wavelet change by the present invention first
It changes, obtains matrix of wavelet coefficients；Singular value decomposition (SVD) is carried out to matrix of wavelet coefficients, obtains that signal peak can be embodied after reconstruct
The matrix of wavelet coefficients of value information can effectively reject pseudo- Local modulus maxima therein, and reach and make an uproar to low frequency in signal
The elimination of sound；The crestal line of above-mentioned matrix is extracted using wavelet ridge extraction algorithm；Threshold value is set, rejects that energy is too small or noise
Than too low crestal line, FBG reflection signal wave crest numbers and peak position are eventually found.As it can be seen that this method can overcome other biographies
Insufficient existing for system method, peak-seeking adaptivity is good, accuracy is high, and can be suitably used for the peak value positioning of different physical waves.
Description of the drawings
Fig. 1 is flow chart of the method for the present invention；
Fig. 2 is the experimental system figure that the present embodiment carries out peak value positioning.
Specific embodiment
The present invention is described in detail with specific embodiment below in conjunction with the accompanying drawings.The present embodiment is with technical solution of the present invention
Premised on implemented, give detailed embodiment and specific operating process, but protection scope of the present invention is not limited to
Following embodiments.
Embodiment
As shown in Figure 1, a kind of overlapping FBG transducing signal peak value localization methods, include the following steps：
Step 1：FBG reflection signals are handled using continuous wavelet transform.
Original FBG reflection signals are handled using continuous wavelet transform, are conducive to the instantaneous time-varying portion of signal Analysis
Point, and extract characteristic information in the slave signal of energy adaptively.
Step 2：Wavelet ridge peak-seeking algorithm is improved by Singular Value Decomposition Using.
Singular Value Decomposition Using method can extract the effective information that signal wave crest part is corresponded in wavelet coefficient, Ke Yiyou
The rejecting of effect pseudo- Local modulus maxima therein, and reach the elimination to signal Middle and low frequency noise, to original based on maximum
Wavelet ridge peak-seeking algorithm is improved.
Step 3：With reference to improved wavelet ridge peak-seeking algorithm, wave crest overlapping FBG signals are accurately positioned.
This step can effectively eliminate influence of the noise to peak-seeking, and can be finally inversed by signal according to the information in wavelet ridge
Comprising important component, extract the feature of signal, realize the reconstruct to signal.Specifically include following steps：
1) FBG reflection signals obtain matrix of wavelet coefficients after continuous wavelet transform and singular value decomposition processing, according to
5 points take the maximum that extremum method obtains its each row；
If 2) matrix of wavelet coefficients row maximum is continuous in 3 scales, the line of these three maximum is considered as a vallate
Line；
3) position of every crestal line is recorded to obtain the preliminary peak position of overlapping FBG signals.
Step 4：With reference to the energy and signal-to-noise ratio of peak value, the accurate peak point of final overlap peak is obtained, to realize counterweight
The peak value positioning of folded FBG reflections signal.It is for overlapping FBG by the improved wavelet ridge peak-seeking method of Singular Value Decomposition Using method
The peak value location algorithm that signal wave crest part overlapping phenomenon is proposed；According to the accurate peak position that algorithm obtains, reject wherein
Signal-to-noise ratio and the too low part of energy, obtain the final peak position of signal.
Specific implementation step is as follows：
1. obtain wave crest overlapping FBG signal datas.
Experiment porch is built, experimental system is as shown in Figure 2.
This experimental system, by ASE wideband light sources 1, the 2x2 couplers 2 of 3db, FBG sensor array 3, fiber F-P is adjustable
The capital equipments such as humorous wave filter 4, photodetector 5, capture card 6, control system 7, signal generator 8 form.ASE wideband light sources
1 broadband light sent out is reached through 2x2 couplers 2 at FBG sensor arrays 3, and FBG has wavelength selective penetrated property, meets FBG centers
The light of wavelength is reflected, and reflected light is transmitted into photodetector 5 through fiber F-P tunable optic filter 4, converts optical signals to
Electric signal is simultaneously obtained by capture card 6.
Under above-mentioned experiment porch, the sensing FBG (FBG1, FBG2, FBG3) of three concatenations is respectively placed in temperature is
In the constant temperature field of 10 DEG C, 30 DEG C, 50 DEG C three different temperatures, obtain generating the FBG reflection signal waveforms of peak value overlapping phenomenon, use
Capture card 68 collects Wave data.
2. pair signal carries out continuous wavelet transform.
The signal data of acquisition is handled, first has to determine the wavelet mother function in continuous wavelet transform.It is continuous small
Wave conversion expression formula is：
Wherein, WTf(a, τ) be wavelet conversion coefficient, f (t) be signal, ψa,τ(t) it is wavelet mother function, a joins for scale
Number, τ is translation parameters.
The wavelet mother function ψ of selectiona,τ(t) should have symmetry, regularity, compact sup-port and with signal f (t) similarities
The features such as high.Therefore selecting sombrero function (mexh), expression formula is as wavelet mother function：
3. algorithm improvement-Singular Value Decomposition Using.
Singular Value Decomposition Using method can extract the effective information that signal wave crest part is corresponded in wavelet coefficient, Ke Yiyou
The rejecting of effect pseudo- Local modulus maxima therein, and reach the elimination to signal Middle and low frequency noise, to original based on maximum
Wavelet ridge peak-seeking algorithm is improved.Algorithm improvement realization is as follows：
1) for m × n rank matrix As that order is r, singular value decomposition is carried out to it, is represented by：
A=U Σ V* (3)
Formula (3) can also be write as following form：
Wherein, uiAnd viRespectively the i-th row singular value vector of matrix U and V.Due to singular value be by numerical value from big to small
It is arranged in order, preceding several characteristic value corresponding parts can most show the feature of matrix A, maximum to the effect for reconstructing matrix A.
Singular Value Decomposition Using is used for matrix of wavelet coefficients WTfPretreatment, take first three characteristic value to WTfCarry out weight
Structure obtains WTf', as shown in formula (5), the effective information that signal wave crest part is corresponded in wavelet coefficient is extracted, can effectively be picked
Except pseudo- Local modulus maxima therein, and reach the elimination to signal Middle and low frequency noise.
WTf'=σ1u1v1 *+σ2u2v2 *+σ3u3v3 * (5)
4. crestal line extraction algorithm
The crestal line extraction algorithm based on modulus value information is selected to be applied to FBG and reflects signal peak-seeking.Algorithm realizes specific steps
It is as follows：
1) continuous wavelet transform and singular value decomposition are carried out to the FBG reflection signals of peak value overlapping, obtains wavelet coefficient
Matrix W Tf'；
2) matrix of wavelet coefficients WT is acquired according to (6) formulaf' in each row maximum, write down each maximum it is corresponding when
Between (row) and scale (row)；
If 3) at a certain position (row), several rows of maximum of wavelet systems are continuous in 3 scales, by the line of these three maximum
It is considered as a crestal line.
4) position of every crestal line is recorded.
5. extract accurate Location of ridge axis with improved algorithm, by setting threshold value, reject wherein energy it is too small or
The too low point of person's signal-to-noise ratio；Eventually find overlapping FBG signal wave crests number and accurate peak position.
Claims (6)
1. a kind of overlapping FBG transducing signal peak value localization methods, which is characterized in that include the following steps：
S1 handles FBG transducing signals using continuous wavelet transform, obtains wavelet conversion coefficient matrix W Tf(a,τ)；
S2 using Singular Value Decomposition Using method, chooses the larger preceding several singular values of numerical value, to WTf(a, τ) is reconstructed, and is reconstructed
Wavelet conversion coefficient matrix W T' afterwardsf(a,τ)；
S3 using wavelet ridge peak-seeking algorithm, obtains corresponding to matrix W T'fThe crestal line of (a, τ)；
S4 extracts signal characteristic using accurate Location of ridge axis, obtains final wave crest number and crest location.
A kind of 2. overlapping FBG transducing signal peak value localization methods according to claim 1, which is characterized in that the step
In rapid S1, using sombrero function as wavelet mother function.
A kind of 3. overlapping FBG transducing signal peak value localization methods according to claim 1, which is characterized in that the step
Rapid S2 specifically includes following steps：
S21, to WTf(a, τ) carries out Singular Value Decomposition Using；
S22 by singular value by sorting from big to small, takes first three singular value, to WTf(a, τ) is reconstructed, after being reconstructed
Wavelet conversion coefficient matrix W T'f(a,τ) 。
A kind of 4. overlapping FBG transducing signal peak value localization methods according to claim 1, which is characterized in that the step
Rapid S3 specifically includes following steps：
S31 takes extremum method to obtain WT' according to 5 pointsfThe maximum of (a, τ) each row；
S32, if on a certain row, matrix of wavelet coefficients row maximum is continuous in 3 scales, and the line of this 3 maximum is regarded
For a crestal line；
S33 records the position of every crestal line to obtain accurate peak position.
A kind of 5. overlapping FBG transducing signal peak value localization methods according to claim 4, which is characterized in that described five
Point takes the extremum method to be specially：The point for meeting following formula is the maximum point in five points, wherein, i, j correspond to matrix W Tf'
Row and column, behavior scale, is classified as the time,
A kind of 6. overlapping FBG transducing signal peak value localization methods according to claim 1, which is characterized in that the step
The step of rapid S4 includes rejecting the peak value of energy and signal-to-noise ratio less than given threshold.
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| CN109000694A (en) * | 2018-10-19 | 2018-12-14 | 武汉烽理光电技术有限公司 | Grating prepares on-line monitoring method and system |
| CN109831822A (en) * | 2019-01-21 | 2019-05-31 | 北京大瞭互通科技有限责任公司 | A kind of Wavelet Denoising Method Preprocessing Algorithm for positioning of meeting an urgent need in VDES |
| CN110542441A (en) * | 2019-10-10 | 2019-12-06 | 华北电力大学（保定） | Signal demodulation method of optical fiber Bragg grating sensing system |
| CN111027414A (en) * | 2019-11-21 | 2020-04-17 | 五邑大学 | Hankel matrix structure optimization method and device, computing device and storage medium |
| CN115166120A (en) * | 2022-06-23 | 2022-10-11 | 中国科学院苏州生物医学工程技术研究所 | Spectral peak identification method, device, medium and product |
| CN116399379A (en) * | 2023-06-07 | 2023-07-07 | 山东省科学院激光研究所 | Distributed optical fiber acoustic wave sensing system and measuring method thereof |
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Cited By (10)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109000694A (en) * | 2018-10-19 | 2018-12-14 | 武汉烽理光电技术有限公司 | Grating prepares on-line monitoring method and system |
| CN109831822A (en) * | 2019-01-21 | 2019-05-31 | 北京大瞭互通科技有限责任公司 | A kind of Wavelet Denoising Method Preprocessing Algorithm for positioning of meeting an urgent need in VDES |
| CN109831822B (en) * | 2019-01-21 | 2021-02-23 | 北京大瞭互通科技有限责任公司 | Wavelet denoising preprocessing method for emergency positioning in VDES (vertical double-diffusion evolution System) |
| CN110542441A (en) * | 2019-10-10 | 2019-12-06 | 华北电力大学（保定） | Signal demodulation method of optical fiber Bragg grating sensing system |
| CN110542441B (en) * | 2019-10-10 | 2021-08-27 | 华北电力大学（保定） | Signal demodulation method of optical fiber Bragg grating sensing system |
| CN111027414A (en) * | 2019-11-21 | 2020-04-17 | 五邑大学 | Hankel matrix structure optimization method and device, computing device and storage medium |
| CN111027414B (en) * | 2019-11-21 | 2024-01-05 | 五邑大学 | Hankel matrix structure optimization method, hankel matrix structure optimization device, computing equipment and storage medium |
| CN115166120A (en) * | 2022-06-23 | 2022-10-11 | 中国科学院苏州生物医学工程技术研究所 | Spectral peak identification method, device, medium and product |
| CN116399379A (en) * | 2023-06-07 | 2023-07-07 | 山东省科学院激光研究所 | Distributed optical fiber acoustic wave sensing system and measuring method thereof |
| CN116399379B (en) * | 2023-06-07 | 2023-11-03 | 山东省科学院激光研究所 | Distributed optical fiber acoustic wave sensing system and measuring method thereof |
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Application publication date: 20180629 |