CN110068828A - Device and dispersion compensation method based on the remote ranging of laser frequency-modulation continuous wave - Google Patents
Device and dispersion compensation method based on the remote ranging of laser frequency-modulation continuous wave Download PDFInfo
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- CN110068828A CN110068828A CN201810888026.2A CN201810888026A CN110068828A CN 110068828 A CN110068828 A CN 110068828A CN 201810888026 A CN201810888026 A CN 201810888026A CN 110068828 A CN110068828 A CN 110068828A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S17/00—Systems using the reflection or reradiation of electromagnetic waves other than radio waves, e.g. lidar systems
- G01S17/02—Systems using the reflection of electromagnetic waves other than radio waves
- G01S17/06—Systems determining position data of a target
- G01S17/08—Systems determining position data of a target for measuring distance only
- G01S17/32—Systems determining position data of a target for measuring distance only using transmission of continuous waves, whether amplitude-, frequency-, or phase-modulated, or unmodulated
- G01S17/34—Systems determining position data of a target for measuring distance only using transmission of continuous waves, whether amplitude-, frequency-, or phase-modulated, or unmodulated using transmission of continuous, frequency-modulated waves while heterodyning the received signal, or a signal derived therefrom, with a locally-generated signal related to the contemporaneously transmitted signal
Abstract
The present invention relates to a kind of devices based on the remote ranging of laser frequency-modulation continuous wave, laser emission element is for exporting tunable laser, one end of main measurement optical interference circuit and auxiliary optical interference circuit is respectively used to receive the tunable laser, main measurement optical interference circuit and the other end of optical interference circuit is assisted to be all connected with data acquisition process unit, data acquisition process unit receive main measurement optical interference circuit and assist two beat signals of optical interference circuit output and calculate after dispersion compensation apart from spectrum information.In the present invention, low-frequency noise can be effectively eliminated to adjust the distance the broadening influence of frequency spectrum, the compensation of error dispersion can rapidly be carried out, it is high-efficient, it is extremely easily integrated into process of measurement, by comparing, the method for the dispersion compensation can quick real-time compensation, measurement efficiency and range accuracy are improved, especially suitable for the fields such as synthetic aperture radar, unmanned measurement, medicine coherent tomographic, vibration measurement with laser.
Description
Technical field
The invention belongs to precise measurement technique field, it is related to a kind of remote range unit and compensation method, especially relates to
And a kind of device and dispersion compensation method based on the remote ranging of laser frequency-modulation continuous wave.
Technical background
It is more and more convenient that the fast development of industrial technology is brought to current life, however the development of industrial technology from
The industry that do not go into operation manufacture, with the development of the times, requirement of the people to the complexity of the accuracy of manufacture and manufacture is more and more harsh, seeks
A kind of means of quick high accuracy in situ measurement are extremely urgent.
Laser frequency-modulation measuring technique is also referred to as FM laser radar technology, it has quick, high dynamic range, high-precision
The characteristics of, cause the concern of more and more people.It is different from the common measuring instrument laser tracker of industry spot, laser of frequency modulation
Radar is guided without target, can fast implement the three-dimensional imaging of multiple target.In recent years, these advantages of FM laser radar,
It is allowed to have obtained extensively in the high-precision pointed collar domain such as medicine coherent tomographic, synthetic aperture radar, optical frequency reflectometer, unmanned
Application.
The measurement accuracy of FM laser radar technology is extremely serious by the nonlinear influence of modulation of source, in order to eliminate this
Some effects, usually using the structure design of double fiber optic interferometric optical paths: utilizing the interference for being greater than twice of light path of optical path or more
Optical path the optical frequencies resampling such as carries out to main optical path, to obtain the single resampling signal of frequency, to facilitate demodulation distance
Information.But as the increase of measurement distance assists the dispersion of optical interference circuit and main optical path not due to the introducing of fibre-optical dispersion
Matching will lead to the error of resampling, and especially in the measurement scene of remote big bandwidth, above-mentioned error will be extremely serious, such as
It does not eliminate, it is impossible to accurately obtain range information.
By retrieval, the open source literature for recording the related contents such as laser ranging and dispersion compensation is not found.
Summary of the invention
The present invention overcomes the deficiencies in the prior art, provide and exist in a kind of remote ranging technology of elimination laser of frequency modulation
Dispersion non-matching phenomenon, use twice Hilbert converter technique resampling signal is handled to eliminate lower-frequency envelope noise,
Phase error caused by compensation dispersion and the device based on the remote ranging of laser frequency-modulation continuous wave for obtaining accurate distance information.
The technical proposal adopted by the invention to solve the above technical problems is that:
A kind of device based on the remote ranging of laser frequency-modulation continuous wave, it is characterised in that: including laser emission element, master
Optical interference circuit, auxiliary optical interference circuit and data acquisition process unit are measured, laser emission element is main for exporting tunable laser
Measurement optical interference circuit and one end of optical interference circuit is assisted to be respectively used to receive the tunable laser, main measurement optical interference circuit and auxiliary
Help the other end of optical interference circuit to be all connected with data acquisition process unit, data acquisition process unit receive main measurement optical interference circuit with
Two beat signals of auxiliary optical interference circuit output and calculate after dispersion compensation apart from spectrum information.
Further more, the tunable laser of the laser emission element output is divided into the first via into main measurement optical interference circuit
With the second tunnel of auxiliary optical interference circuit, the first via is divided into third road and the 4th tunnel, and an access of circulator is passed through on third road
And it is irradiated to determinand surface, the reflected light on determinand surface is returned by another access of circulator and is coupled with the 4th tunnel
Enter data acquisition process unit afterwards；
Second tunnel is divided into the 5th road and the 6th tunnel, and the 5th road and the 6th tunnel by postponing optical fiber enter number after being coupled
According to acquisition process unit.
Further more, the avalanche photodetector in the data acquisition process unit is for receiving main measurement optical interference circuit output
Beat signal, the beat frequency that the balanced detector in the data acquisition process unit is used to receive auxiliary optical interference circuit output believes
Number.
Further more, optical fiber output mirror and condenser lens are provided between the circulator and determinand, second road and
An optical attenuator is passed through on four tunnels respectively.
It is a further object to provide a kind of dispersions of device based on the remote ranging of laser frequency-modulation continuous wave
Compensation method, comprising the following steps:
(1) laser of adjustable frequency laser transmitting respectively enters main measurement optical interference circuit and auxiliary optical interference circuit, and data are adopted
Collection processing unit obtains the beat signal of two optical paths respectively；
(2) beat signal of optical interference circuit will be assisted to carry out zero-mean point to the beat signal of main measurement optical interference circuit to adopt again
Sample obtains resampling signal；
(3) resampling signal is subjected to Hilbert transform, obtains the resampling signal of phase shift, extracting includes low-frequency noise
Envelope；
(4) envelope is solved, carries out Hilbert transform again, calculates wrapped phase, and phase is carried out according to frequency sweep direction
Unpacking；
(5) quadratic function fitting is carried out using phase of the least square method to unpacking, determines dispersion compensation factor；
(6) resampling signal is multiplied with dispersion compensation factor, and to result carry out Fast Fourier Transform (FFT) after, obtain to
Survey look for dissipate it is compensated apart from spectrum information.
Further more, zero-mean point resampling process described in step (2) is:
The beat signal of main measurement optical interference circuit is: Umea(ω)=A (t) cos [Rfibβ(ω)+2Rairω/c]
The beat signal of auxiliary optical interference circuit is: Uref(ω)=B (t) cos [Rrefβ(ω)]
Resampling at equal intervals is carried out using the zero-mean point of auxiliary optical interference circuit beat signal, obtains resampling signal:
Further more, Hilbert transform described in step (3) are as follows:
Construct complex signal:
Extraction described in step (3) includes the envelope of low-frequency noise are as follows:
Further more, solution envelope described in step (4), obtains normalized resampling signal:
Wrapped phase described in step (4) are as follows:
Unpacking described in step (4) are as follows: frequency sweep direction be it is incremental, using unwrap function to wrapped phase carry out uncoiling
It wraps up in.
Further more, quadratic function described in step (5) is fitted are as follows:
Φ (k)=ak2+bk+c
Dispersion compensation factor described in step (5) are as follows:
δdis=a/2 π
Further more, resampling signal described in step (6) is multiplied with dispersion compensation factor are as follows: construct new resampling function
Unew(k), and by resampling signal phase compensation is carried out:
Unew(k)=Ures(k)exp[-j(a/2π)k2]。
What the present invention obtained has the technical effect that
In the present invention, laser emission element exports tunable laser, and main measurement optical interference circuit and auxiliary optical interference circuit respectively produce
A raw beat signal, the distance spectrum information spectrum information after obtaining dispersion compensation after the calculating of data acquisition process unit.Place
The step of joined solution envelope during reason, can effectively eliminate low-frequency noise and adjust the distance the broadening influence of frequency spectrum, then walk
The solution winding up phase of the normalization resampling signal of Hilbert transform pairs twice in rapid carries out least square fitting, can be quick
Ground carries out the compensation of error dispersion, high-efficient, is extremely easily integrated into process of measurement, by comparing, the dispersion compensation
Method can quick real-time compensation, measurement efficiency and range accuracy are improved, especially suitable for synthetic aperture radar, unmanned
The fields such as measurement, medicine coherent tomographic, vibration measurement with laser.
Detailed description of the invention
Fig. 1 is light path schematic diagram of the invention；
Fig. 2 is the resampling signal comprising low-frequency noise；
Fig. 3 is the resampling signal solved after envelope；
Fig. 4 is the winding up phase of resampling signal；
Fig. 5 is the solution winding up phase of least square fitting method fitting；
Fig. 6 be dispersion compensation before and after apart from spectrogram.
Specific embodiment
Below by case study on implementation and comparative example, the present invention is further elaborated, but is not limited to the present embodiment.
A kind of device based on the remote ranging of laser frequency-modulation continuous wave, as shown in figs. 1 to 6, innovation of the invention is:
Including laser emission element, main measurement optical interference circuit 3, auxiliary optical interference circuit 18 and data acquisition process unit, Laser emission list
Member main measurement optical interference circuit and assists one end of optical interference circuit to be respectively used to receive and tunable swash for exporting tunable laser
The other end of light, main measurement optical interference circuit and auxiliary optical interference circuit is all connected with data acquisition process unit, data acquisition process list
Member receives main measurement optical interference circuit and assists two beat signals of optical interference circuit output and calculate the distance after dispersion compensation
Spectrum information.
In the present embodiment, the tunable laser of laser emission element output is divided by beam splitter 2 to enter main measurement interference light
The first via a on road and the second road b of auxiliary optical interference circuit, the first via are divided by beam splitter 4 for third road c and the 4th road d, third road
An access (1 to 2) by circulator 6 is simultaneously irradiated to 11 surface of determinand, and the reflected light on determinand surface passes through circulator
Another access (2 to 3) return and after couple with the 4th tunnel by coupler 7 into data acquisition process unit；Second tunnel
Divided after being coupled the coupling of device 14 for the 5th road e and the 6th road f, the 5th road and the 6th tunnel by postponing optical fiber 16 by beam splitter 17
Into data acquisition process unit.
Beam splitter 2 is 80/20 beam splitter, and beam splitter 4 is 50/50 beam splitter, and beam splitter 14 is 50/50, and beam splitter 17 is
50/50。
Avalanche photodetector 9 in data acquisition process unit is used to receive the beat frequency letter of main measurement optical interference circuit output
Number, the balanced detector 13 in data acquisition process unit is used to receive the beat signal of auxiliary optical interference circuit output.Circulator
Optical fiber output mirror 8 and condenser lens 10 are provided between determinand, 5 He of optical attenuator is passed through on the second road and the 4th tunnel respectively
Optical attenuator 19.
PHOENIX 1400 laser of the laser emission element using the Luna company in the U.S., tuning bandwidth setting
Be 1545nm-1555nm, tuned speed is set as 1000nm/s.Postpone fiber selection is that company, Wuhan Changfei produces
The single mode optical fiber of G652 standard, mean refractive index are 1.467@1550nm, length 80.3m.Determinand uses prism of corner cube, should
Prism of corner cube is 20~40 meters at a distance from main measurement optical interference circuit.The model of other detectors, beam splitter, coupler etc. is not
It is limited, as long as the device of above-mentioned function can be completed.
The dispersion compensation method of the above-mentioned device based on the remote ranging of laser frequency-modulation continuous wave, comprising the following steps:
(1) laser of adjustable frequency laser transmitting respectively enters main measurement optical interference circuit and auxiliary optical interference circuit, and data are adopted
Collection processing unit obtains the beat signal of two optical paths respectively；
(2) beat signal of optical interference circuit will be assisted to carry out zero-mean point to the beat signal of main measurement optical interference circuit to adopt again
Sample obtains resampling signal；
The method of zero-mean resampling is to use to determine optical path difference to be tested the interferometer of light path 2 times or more to main measurement light
Road carries out zero-mean point sampling, with meet how Gui this special sampling thheorem, obtain the relatively single resampling signal of frequency spectrum.Due to by
To the influence of fibre-optical dispersion, there is frequency component relevant with dispersion in resampling signal function.It is visited first with photodetector
The beat signal of the two-way interferometer measured can respectively indicate UmeaAnd Uref:
The beat signal of main measurement optical interference circuit is: Umea(ω)=A (t) cos [Rfibβ(ω)+2Rairω/c]
The beat signal of auxiliary optical interference circuit is: Uref(ω)=B (t) cos [Rrefβ(ω)]
1. choosing zero crossing namely the conduct of k π phase point of auxiliary interferometer beat signal etc. optical frequency sampled point:
Rref[β0+β1(ω-ω0)+0.5·β2(ω-ω0)2]=π k, (k=0,1,2 ..., N)
2. determining the frequency sweep direction of laser, frequency direction here is incremental, intermittent angle of the calculating comprising abbe number
Frequency:
3. according to the collected auxiliary optical interference circuit beat frequency U of photodetectorref(ω), and be used as using its k π phase point
Shi Zhongdian is to Umea(ω) the optical frequencies resampling such as carries out, and obtains resampling signal Ures(k):
Umea(ω)=A (t) cos [Rfibβ(ω)+2Rairω/c]
Wherein, A (t) is the amplitude of the beat signal of main measurement optical interference circuit, RfibIt is the light of main measurement optical interference circuit two-arm
Fine length difference, β (ω) are the abbe number of single mode optical fiber, RairIt is air optical path to be measured, ω is the angular frequency of optical frequency, and c is true
The empty light velocity, B (t) are the amplitude for assisting the beat signal of optical interference circuit, RauxIt is the fiber lengths for assisting optical interference circuit, n is optical fiber
Refractive index, β0It is zeroth order abbe number, β1It is 1 rank abbe number, β2It is 2 rank abbe numbers, ω0It is that center optical frequency is corresponding
Angular frequency, K=0,1,2,3 ..., ngIt is group index.
(3) resampling signal is subjected to Hilbert transform, obtains the resampling signal of phase shift, extracting includes low-frequency noise
Envelope；
1. first by the resampling signal U comprising low-frequency noiseres(k) Hilbert transform is carried out, complex signal X is constructed0
(k):
Wherein j represents imaginary number, and * represents convolution.
2. carrying out envelope A (k) to resampling signal to extract, mathematic(al) representation:
Wherein Ures(k) U is indicatedres(k) Hilbert transform.
(4) envelope is solved, carries out Hilbert transform again, calculates wrapped phase, and phase is carried out according to frequency sweep direction
Unpacking；
1. being removed envelope to signal, normalized resampling signal U is obtainednom(k):
Unom(k)=Ures(k)/A(k)
2. to Unom(k) Hilbert transform is carried out, is constructed complex signal X (k):
3. obtaining the wrapped phase of normalization resampling signal by arc tangent:
Wherein, Re { } and Im { } respectively represent real and imaginary parts.
4. calculating wrapped phase, according to incremental frequency sweep direction, solution winding up is carried out to wrapped phase using unwrap function.
(5) quadratic function fitting is carried out using phase of the least square method to unpacking, determines dispersion compensation factor；
1. determining the phase directional after solution winding up according to the direction of incremental frequency sweep, and least square method two is carried out to phase
Secondary Function Fitting Φ (k) determines penalty coefficient δdis:
Φ (k)=ak2+bk+c
δdis=a/2 π
Wherein, a is the second order coefficient of fitting function, and b is the coefficient of first order of fitting function, and c is the constant term of fitting function.
(6) resampling signal is multiplied with dispersion compensation factor, and to result carry out Fast Fourier Transform (FFT) after, obtain to
Survey look for dissipate it is compensated apart from spectrum information.
1. constructing new resampling function Unew(k), and by resampling signal phase compensation is carried out:
Unew(k)=Ures(k)exp[-j(a/2π)k2]
The resampling formula newly constructed can determine penalty coefficient according to the second order coefficient a of the fitting function of calculating, to disappear
The quadratic term introduced except dispersion.
2. carrying out Fast Fourier Transform (FFT) to the resampling function newly constructed, believing after obtaining dispersion correction apart from frequency spectrum
Breath.
Embodiment
Build the double optical interference circuit remote measuring systems of laser frequency-modulation, laser using the U.S. Luna company
PHOENIX1400, tuning bandwidth are provided that 1545nm-1555nm, tuned speed are set as 1000nm/s.
The delay fiber selection of auxiliary interferometer be the production of company, Wuhan Changfei G652 standard single mode optical fiber, it is average
Refractive index is 1.467@1550nm, length 80.3m.
Resampling is carried out to main measurement optical interference circuit using the zero crossing of the beat signal of auxiliary optical interference circuit, is adopted again
Sample signal Ures(k) as shown in Figure 2；
In order to eliminate Spectrum Distortion caused by dispersion, using following steps:
Step 1: first by the resampling signal U comprising low-frequency noiseres(k) Hilbert transform, building letter in reply are carried out
Number X0(k)；
Then, envelope A (k) is carried out to resampling signal to extract:
A similar sinusoidal variation is presented in the amplitude of resampling signal, in order to eliminate this part to the shadow of range error
It rings, the envelope of resampling signal is eliminated using step 2.
Step 2: determining frequency sweep direction, this example is using sweeping mode in frequency；Then resampling signal is solved
Envelope, wrapped phase is calculated, and Phase- un- wrapping is carried out according to frequency sweep direction；
Firstly, being removed envelope to signal, normalized resampling signal U is obtainednom(k):
Unom(k)=Ures(k)/A(k)
Solution envelope is carried out to resampling signal, it is as shown in Figure 3 to obtain more satisfactory normalization resampling signal.
Again, to Unom(k) Hilbert transform is carried out, is constructed complex signal X (k):
Then, the wrapped phase of normalization resampling signal is obtained by arc tangent:
The frequency direction of this example be it is incremental, calculated wrapped phase is as shown in Figure 4.
Wrapped phase is solved using unwrap function according to incremental frequency sweep direction Step 3: calculating wrapped phase
Winding up, as shown in Figure 5.
Step 4: quadratic function fitting is carried out with least square method to the phase after solution winding up,
Φ (k)=5.1933 × 10-11k2+0.2522k+0.9237
Step 5: determining phase compensation factor, δ according to the quadratic fit function of fittingdis=8.2654 × 10-12
Step 6: the resampling formula U that building is newnew(k):
Unew(k)=Ures(k)exp(-jδdisk2)
Then, Fast Fourier Transform (FFT) is carried out to the resampling signal that newly constructs, obtain close to theoretical resolution away from
Off-frequency spectrum, as shown in Figure 6.From fig. 6, it can be seen that not having biggish Spectrum Distortion by the frequency spectrum of this example dispersion compensation；
Frequency spectrum after dispersion compensation, it is clear and legible, very close to theoretical spectrum resolving power.
In the present invention, laser emission element exports tunable laser, and main measurement optical interference circuit and auxiliary optical interference circuit respectively produce
A raw beat signal, the distance spectrum information spectrum information after obtaining dispersion compensation after the calculating of data acquisition process unit.Place
The step of joined solution envelope during reason, can effectively eliminate low-frequency noise and adjust the distance the broadening influence of frequency spectrum, then walk
The solution winding up phase of the normalization resampling signal of Hilbert transform pairs twice in rapid carries out least square fitting, can be quick
Ground carries out the compensation of error dispersion, high-efficient, is extremely easily integrated into process of measurement, by comparing, the dispersion compensation
Method can quick real-time compensation, measurement efficiency and range accuracy are improved, especially suitable for synthetic aperture radar, unmanned
The fields such as measurement, medicine coherent tomographic, vibration measurement with laser.
Claims (10)
1. a kind of device based on the remote ranging of laser frequency-modulation continuous wave, it is characterised in that: including laser emission element, main survey
Optical interference circuit, auxiliary optical interference circuit and data acquisition process unit are measured, laser emission element is for exporting tunable laser, main survey
One end of amount optical interference circuit and auxiliary optical interference circuit is respectively used to receive the tunable laser, main measurement optical interference circuit and auxiliary
The other end of optical interference circuit is all connected with data acquisition process unit, and data acquisition process unit receives main measurement optical interference circuit and auxiliary
Two beat signals helping optical interference circuit to export and calculate after dispersion compensation apart from spectrum information.
2. the device according to claim 1 based on the remote ranging of laser frequency-modulation continuous wave, it is characterised in that: described to swash
The tunable laser of light emitting unit output be divided into main measurement optical interference circuit the first via and auxiliary optical interference circuit the
Two tunnels, the first via are divided into third road and the 4th tunnel, and third road passes through an access of circulator and is irradiated to determinand surface,
The reflected light on determinand surface enters data acquisition process after another access of circulator returns and couples with the 4th tunnel
Unit；
Second tunnel is divided into the 5th road and the 6th tunnel, and the 5th road and the 6th tunnel by postponing optical fiber are adopted after being coupled into data
Collect processing unit.
3. the device according to claim 2 based on the remote ranging of laser frequency-modulation continuous wave, it is characterised in that: the number
It is used to receive the beat signal of main measurement optical interference circuit output, the data according to the avalanche photodetector in acquisition process unit
Balanced detector in acquisition process unit is used to receive the beat signal of auxiliary optical interference circuit output.
4. the device according to claim 2 or 3 based on the remote ranging of laser frequency-modulation continuous wave, it is characterised in that: institute
It states and is provided with optical fiber output mirror and condenser lens between circulator and determinand, second road and the 4th tunnel pass through one respectively
Optical attenuator.
5. a kind of dispersion compensation method of the device as claimed in claim 4 based on the remote ranging of laser frequency-modulation continuous wave,
It is characterized by comprising following steps:
(1) laser of adjustable frequency laser transmitting respectively enters main measurement optical interference circuit and assists optical interference circuit, at data acquisition
Reason unit obtains the beat signal of two optical paths respectively；
(2) beat signal of optical interference circuit will be assisted to carry out the resampling of zero-mean point to the beat signal of main measurement optical interference circuit,
Obtain resampling signal；
(3) resampling signal is subjected to Hilbert transform, obtains the resampling signal of phase shift, extract the packet comprising low-frequency noise
Network；
(4) envelope is solved, carries out Hilbert transform again, calculates wrapped phase, and phase unwrapping is carried out according to frequency sweep direction
It wraps up in；
(5) quadratic function fitting is carried out using phase of the least square method to unpacking, determines dispersion compensation factor；
(6) resampling signal is multiplied with dispersion compensation factor, and to result carry out Fast Fourier Transform (FFT) after, obtain determinand
After dispersion compensation apart from spectrum information.
6. the dispersion compensation method of the device according to claim 5 based on the remote ranging of laser frequency-modulation continuous wave,
Be characterized in that: zero-mean point resampling process described in step (2) is:
The beat signal of main measurement optical interference circuit is: Umea(ω)=A (t) cos [Rfibβ(ω)+2Rairω/c]
The beat signal of auxiliary optical interference circuit is: Uref(ω)=B (t) cos [Rrefβ(ω)]
Resampling at equal intervals is carried out using the zero-mean point of auxiliary optical interference circuit beat signal, obtains resampling signal:
。
7. the dispersion compensation method of the device according to claim 5 based on the remote ranging of laser frequency-modulation continuous wave,
It is characterized in that: Hilbert transform described in step (3) are as follows:
Construct complex signal:
Extraction described in step (3) includes the envelope of low-frequency noise are as follows:
8. the dispersion compensation method of the device according to claim 5 based on the remote ranging of laser frequency-modulation continuous wave,
Be characterized in that: solution envelope described in step (4) obtains normalized resampling signal:
Wrapped phase described in step (4) are as follows:
Unpacking described in step (4) are as follows: frequency sweep direction be it is incremental, solution winding up is carried out to wrapped phase using unwrap function.
9. the dispersion compensation side of the device based on the remote ranging of laser frequency-modulation continuous wave according to claim 5
Method, it is characterised in that: the fitting of quadratic function described in step (5) are as follows:
Φ (k)=ak2+bk+c
Dispersion compensation factor described in step (5) are as follows:
δdis=a/2 π.
10. the dispersion compensation of the device based on the remote ranging of laser frequency-modulation continuous wave according to claim 5
Method, it is characterised in that: resampling signal described in step (6) is multiplied with dispersion compensation factor are as follows: construct new resampling letter
Number Unew(k), and by resampling signal phase compensation is carried out:
Unew(k)=Ures(k)exp[-j(a/2π)k2]。
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