CN109297425A - A kind of Brillouin optical time-domain reflectometer of physical random number modulation - Google Patents
A kind of Brillouin optical time-domain reflectometer of physical random number modulation Download PDFInfo
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- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B11/00—Measuring arrangements characterised by the use of optical techniques
- G01B11/16—Measuring arrangements characterised by the use of optical techniques for measuring the deformation in a solid, e.g. optical strain gauge
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Abstract
The invention belongs to Distributed Optical Fiber Sensing Techniques fields, for the spatial resolution of Brillouin optical time-domain reflectometer in the prior art, the compromise problem of signal-to-noise ratio and measurement accuracy, propose a kind of Brillouin optical time-domain reflectometer of physical random number modulation, including the first DFB laser emitting module, 2nd DFB laser emitting module, first fiber coupler, pulse image intensifer, second fiber coupler, Polarization Controller, gain switch modulator, module occurs for physical random number, DWDM dense wavelength division multiplexing device, sensor fibre, optical fiber circulator, continuous image intensifer, optical filter, third fiber coupler, scrambler, photodetector, frequency mixer, microwave tunable frequency source, electric amplifier, electrical filter, A/D conversion module and host computer.The present invention can be under the premise of guaranteeing spatial resolution, strain size and the position of real-time high-precision monitored along sensor fibre.
Description
Technical field
The present invention relates to Brillouin optical time-domain reflectometers, belong to Distributed Optical Fiber Sensing Techniques field, more specifically, this
Invention is related to a kind of Brillouin optical time-domain reflectometer of physical random number modulation.
Background technique
In recent years, distributing optical fiber sensing detection technique is grown rapidly, compared with quasi-distributed optical fiber sensing, point
Cloth optical fiber sensing technology will be sensed and is combined into one with transmission, can measure the environmental change letter of all positions along whole optical fiber
Breath, has the characteristics that electromagnetism interference, corrosion-resistant, long distance transmission, structure is simple, range of dynamic measurement is big, therefore answer extensively
It is a wide range of for heavy construction, highway, dam, the monitoring structural health conditions of bridge and underground pipe network, oil-gas pipeline etc., long away from
Safety monitoring under.Wherein, Brillouin optical time-domain reflectometer is suitable for the strain detecting of long range, and principle is according to optical fiber
The frequency displacement linear relationship corresponding with strain that middle spontaneous brillouin scattering signal generates detects strain information, and in conjunction with OTDR
(optical time domain reflection) technology realizes the positioning to strain point.Currently based on the distributed sensing skill of Brillouin light Time Domain Reflectometry
In art, BOTDR (Brillouin light time domain reflection technology) and BOTDA (Brillouin light frequency-domain analysis technology) are the skills of two kinds of mainstreams
Art.BOTDA system needs the light source of both-end to inject, and cannot detect to breakpoint along optical fiber, use occasion is limited to.
BOTDR system carries out sensing measurement by way of single-ended injection, it can be achieved that positioning to breakpoint, is that everybody current use is most wide
A kind of general technology, but its weak output signal, signal-to-noise ratio is smaller and smaller, to the more demanding of system signal demodulation.In order to solve
Under conditions of time of measuring and spatial resolution are constant, the signal-to-noise ratio problem of lifting system, some is used in currently existing scheme
Cumulative mean Time Method, some uses increase the method for pulse width, the coding modes such as use Golay also, but these sides
Method all has the defect of its own: the time of measuring of system can be made to greatly prolong using cumulative mean Time Method, influence system
Real-time;If increasing pulse width, spatial resolution will certainly be reduced, influences system for the accuracy of small event;If adopting
With the coding modes such as Golay be easy so that four groups of coded pulses decoding when intersymbol interference occurs, influence the demodulation accuracy of system.
Existing method can not all solve the problems, such as the compromise of System spatial resolution, signal-to-noise ratio and measurement accuracy, it is, therefore, desirable to provide one
The high Brillouin optical time-domain reflectometer of kind signal-to-noise ratio.
Summary of the invention
The present invention overcomes the shortcomings of Brillouin's time-domain reflectomer in the prior art, technical problem to be solved are as follows: provides
A kind of Brillouin optical time-domain reflectometer of physical random number modulation, by physical random number generator module, primary one group of injection
Real random code obtains additional coding gain, improves system signal noise ratio, the crosstalk between there is not code word, and spatial resolution does not change
Under the premise of change, whole power informations of Brillouin scattering are effectively restored in real time.
In order to solve the above-mentioned technical problem, the technical solution adopted by the present invention are as follows: in a kind of cloth of physical random number modulation
Deep optical time domain reflectometer, including the first DFB laser emitting module, the 2nd DFB laser emitting module, the first fiber coupler, arteries and veins
It is close to wash amplifier, the second fiber coupler, Polarization Controller, gain switch modulator, physical random number generation module, DWDM off
Collection type wavelength division multiplexer, optical fiber circulator, continuous image intensifer, optical filter, third fiber coupler, is disturbed partially at sensor fibre
Device, photodetector, frequency mixer, microwave tunable frequency source, electric amplifier, electrical filter, A/D conversion module and host computer;Institute
The continuous optical signal for stating the sending of the first DFB laser emitting module is output to the input terminal of the second fiber coupler, through the second optical fiber
Coupler is divided into reference light and detection light two parts, wherein detection light is exported from the first output end of the second fiber coupler, warp
After Polarization Controller, gain switch modulator, it is output to the first input end of the first fiber coupler;The 2nd DFB laser
Transmitting module issues the second input terminal that continuous optical signal is output to the first fiber coupler;First fiber coupler it is defeated
Outlet is connect after pulsed light amplifier, DWDM dense wavelength division multiplexing device with the first port of optical fiber circulator, fiber annular
The second port of device is connect with sensor fibre, and the third port of optical fiber circulator is connect with the input terminal of continuous image intensifer, right
Faint backward Brillouin scattering signal carries out power amplification, and the output end of the continuous image intensifer is after optical filter with the
The first input end of three fiber couplers connects;The reference light of the second output terminal output of second fiber coupler is disturbed partially
It is connect after device with the second input terminal of third fiber coupler;The output signal of the third fiber coupler is by photodetector
Detection, the output signal of the photodetector is mixed with the microwave signal that microwave tunable frequency source emits through frequency mixer, electricity is put
Host computer is output to after big device, electrical filter, A/D conversion module;Module occurs for the physical random number for generating two groups of phases
Same real random code modulates continuous optical signal wherein one group of real random code is sent to the control terminal of gain switch modulator
At sequential coding pulsed optical signals, another group of real random code is sent to host computer, and the host computer is used for according to described truly random
Code is decoded operation to brillouin scattering signal, demodulates Brillouin shift distribution.
First fiber coupler, the second fiber coupler and third fiber coupler are 1 × 2 fiber coupling
The splitting ratio of device, first fiber coupler and third fiber coupler is 50:50, the light splitting of second fiber coupler
Than for 80:20.
The continuous optical signal that first DFB laser emitting module is used to issue central wavelength as 1550.12nm, described second
DFB laser emitting module is used to issue the continuous optical signal that central wavelength is 1560.12nm.
Related operation unit and cumulative mean processing unit are provided in the host computer, the host computer carries out related fortune
Calculation and cumulative mean operation demodulate Brillouin shift distribution method particularly includes:
Related operation unit carries out related operation with first brillouin scattering signal to first part's coded strings of real random code
Processing, obtains the noisy Brillouin shift distribution curve of the first band;Second part of the related operation unit to real random code
Coded strings and Article 2 brillouin scattering signal carry out related computing, obtain the noisy Brillouin shift of second strip point
Cloth curve;……;Related operation unit carries out phase with nth brillouin scattering signal to the n-th code segment string of real random code
Calculation process is closed, the noisy Brillouin shift distribution curve of nth band is obtained, the Brillouin until completing all different frequencies
Frequency displacement distribution curve;Related operation unit is connect with cumulative mean processing unit, the noisy brillouin frequency of n band that will be obtained
It moves distribution curve and is sent to the cumulative mean processing unit;Obtained n item is had noise by the cumulative mean processing unit
Brillouin shift distribution curve carry out cumulative mean processing, obtain Brillouin scattering curve, the n is indicated in real random code
The quantity of coded strings.
Working principle of the present invention is as follows: physical random number occurs module 8 and is simultaneously emitted by two groups of identical real random codes,
In in one group of feeding gain switch modulator, be sequential coding pulsed light by detection light modulation, squeeze into optical fiber, what is obtained is backward scattered
It penetrates signal and carries out beat frequency processing in photodetector 16 with by the reference signal of scrambler 15, obtain Brillouin shift letter
Breath;The different frequency signals that microwave tunable frequency source 18 issues successively carry out difference frequency processing with Brillouin shift by frequency mixer,
Performed a scan by the electrical filter 20 of fixed-bandwidth, obtain brillouin scattering signal, after A/D is converted with physical accidental
Another group of real random code that the sending of module 8 occurs is counted in host computer by way of related operation, cumulative mean, lifting system
Signal-to-noise ratio.Sequential coding pulse is the superposition of pulse, and System spatial resolution depends on the pulsewidth of pulse, with pulse
String itself is unrelated, therefore train pulse coding only improves coding gain, does not change scattered signal and changes with time, to realize
The high-precision measurement under spatial resolution permanence condition.
The Brillouin optical time-domain reflectometer and decoding scheme of a kind of physical random number modulation provided by the invention, and it is existing
Distributive fiber optic strain detection is compared, high reliablity, at low cost, achievable high-resolution and high-precision strain detecting, excellent
Point is as follows with good effect major embodiment:
One, physical random number itself has good correlation properties, by the available volume of sequential coding impulses injection sensor fibre
Outer coding gain improves system signal noise ratio.Meanwhile physical random number and coding brillouin scattering signal are utilized in decoding process
Multiple related average calculating operation can further decrease system noise, improve anti-interference and measurement accuracy.
Two, compared with traditional electro-optical pulse modulation scheme, can be stablized using gain switch modulator and higher
Direct impulse extinction ratio can save bias control device necessary to traditional Electro-optical Modulation scheme, to save the cost and reduce
System complexity;Meanwhile can avoid electrooptic modulator insertion loss, guarantee it is higher enter fine peak power.
Three, using the second narrow linewidth DFB laser emitting module of 1560.12nm wavelength, it is possible to reduce pulse image intensifer
The influence that amplification unevenly generates sequential coding pulsed light.
Detailed description of the invention
Fig. 1 is that a kind of structure of the Brillouin optical time-domain reflectometer of physical random number modulation provided in an embodiment of the present invention is shown
It is intended to;
Fig. 2 is the schematic diagram of Brillouin optical time-domain reflectometer decoding scheme in the embodiment of the present invention.
In figure: 1 is the first narrow linewidth DFB laser emitting module, and 2 be the second narrow linewidth DFB laser emitting module, and 3 be the
One fiber coupler, 4 be pulse image intensifer, and 5 be the second fiber coupler, and 6 be Polarization Controller, and 7 modulate for gain switch
Device, 8 occur module for physical random number, and 9 be DWDM dense wavelength division multiplexing device, and 10 be sensor fibre, and 11 be optical fiber circulator,
12 be continuous image intensifer, and 13 be optical filter, and 14 be third fiber coupler, and 15 be scrambler, and 16 be photodetector, 17
It is microwave tunable frequency source for frequency mixer, 18,19 be electric amplifier, and 20 be electrical filter, and 21 be A/D conversion module, and 22 be upper
Position machine, 23 be real random code, and 24 be brillouin scattering signal, and 25 be related operation unit, and 26 be cumulative mean processing unit, 27
For Brillouin scattering curve.
Specific embodiment
It in order to make the object, technical scheme and advantages of the embodiment of the invention clearer, below will be in the embodiment of the present invention
Technical solution be clearly and completely described, it is clear that described embodiment is a part of the embodiments of the present invention, without
It is whole embodiments;Based on the embodiments of the present invention, those of ordinary skill in the art are not before making creative work
Every other embodiment obtained is put, shall fall within the protection scope of the present invention.
Embodiment one
As shown in Figure 1, present embodiments providing a kind of Brillouin optical time-domain reflectometer of physical random number modulation, including first
DFB laser emitting module 1, the 2nd DFB laser emitting module 2, the first fiber coupler 3, pulse image intensifer 4, the second optical fiber
Module 8, DWDM dense wavelength division multiplexing device occur for coupler 5, Polarization Controller 6, gain switch modulator 7, physical random number
9, sensor fibre 10, optical fiber circulator 11, continuous image intensifer 12, optical filter 13, third fiber coupler 14, scrambler
15, photodetector 16, frequency mixer 17, microwave tunable frequency source 18, electric amplifier 19, electrical filter 20, A/D conversion module 21
With host computer 22.
Wherein, the first DFB laser emitting module 1 issues the continuous light letter of narrow linewidth that central wavelength is 1550.12nm
Number, which is output to the input terminal A of the second fiber coupler 5, and the reference for 20% is divided through the second fiber coupler 5
Light and 80% detection light two parts, wherein detection light from the first output end B of the second fiber coupler 5 export, through Polarization Control
It is inputted after device 6 from the input port D of gain switch modulator 7, is output to the first light from the output port E of gain switch modulator
The first input end of fine coupler 3;The 2nd DFB laser emitting module 2 issues the continuous light that central wavelength is 1560.12nm
Signal, the continuous optical signal are output to the second input terminal of the first fiber coupler 3.Polarization Controller 6 is for adjusting continuous spy
The polarization state for surveying light makes light reach optimal laser propagation effect;Mould occurs for the control terminal F and physical random number of gain switch modulator 7
First output end of block 8 connects, and module 8 occurs for the physical random number for generating two groups of identical real random codes, wherein one
Group real random code is sent to the control terminal F of gain switch modulator 7, and continuous optical signal is made to be modulated into sequential coding pulsed light letter
Number, wherein the length of random code is longer, and the gain coefficient for controlling gain switch modulator is bigger, and another group of real random code is sent
To the input port M of host computer 22.
Wherein, the output end of first fiber coupler 3 is connected to the input terminal of pulse image intensifer 4, compiles to sequence
Code pulse carry out power amplification, with this obtain it is higher enter fine peak power, while the 2nd DFB laser emitting module 2 output
The continuous light of 1560.12nm wavelength keeps the concentration of erbium ion for consuming the more erbium ion in 4 front end of pulse image intensifer
It is constant, to reduce the influence that the amplification of pulse image intensifer unevenly generates sequential coding pulsed light;The pulse light amplification
The output end of device 4 is connected to the input terminal of DWDM dense wavelength division multiplexing device 9, filters out spontaneous radiation caused by pulse image intensifer
The continuous light of noise and 1560.12nm wavelength makes the sequential coding pulsed light of 1550.12nm carry out onwards transmission;The DWDM
The output end of dense wavelength division multiplexing device 9 is connected to the first port G of optical fiber circulator 11, and the second of the optical fiber circulator 11
Port H is connected to the sensor fibre 10 of common G652 single mode, and sequence pulse code enters fiber annular through first port G at this time
Device 11 is exported from the second port H of optical fiber circulator 11 into after sensor fibre 10, generates backward Brillouin scattering signal, from
The faint backward Brillouin scattering signal returned in sensor fibre 10 enters optical fiber circulator 11 through second port H, and from institute
The third port I output of optical fiber circulator 11 is stated, the third port I of the optical fiber circulator 11 is defeated with continuous image intensifer 12
Enter end connection, continuous image intensifer 12 is output to optical filter after carrying out power amplification to faint backward Brillouin scattering signal
13 input terminal, optical filter 13 export brillouin scattering signal after filtering out the noise of amplifier itself, the noise in environment
To the first input end of the third fiber coupler 14.
In addition, the reference light that exports of the second output terminal C of second fiber coupler 5 after scrambler 15 with third light
Second input terminal of fine coupler 14 connects, and scrambler 15 can guarantee that reference light has good polarization state, third optical fiber
The splitting ratio of the input terminal of coupler 14 is 50:50;The output signal of the third fiber coupler 14 is by photodetector 16
Reference light and detection light are carried out beat frequency, obtain Brillouin shift information with this by detection, photodetector 16;The photodetection
The output end of device 16 is connected to the input terminal J of frequency mixer 17, carries out down conversion process;The output end of the microwave tunable frequency source 18
It is connected to the input terminal K of frequency mixer 17, changes the frequency size of Brillouin shift with this;The output end L of the frequency mixer 17 connects
It is connected to the input terminal of electric amplifier 19, this faint continuous signal is amplified;This signal, which enters in electrical filter 20, to be passed through
The mode of frequency scanning obtains system brillouin scattering signal 24.The output port of electrical filter 20 passes through A/D conversion module 21
The input port N for being output to host computer 22, the host computer is used for according to the real random code inputted from input port M to from defeated
The brillouin scattering signal of inbound port N input is decoded operation, demodulates Brillouin scattering curve.
In the present embodiment, first fiber coupler 3, the second fiber coupler 5 and third fiber coupler 14 are
The splitting ratio of 1 × 2 fiber coupler, first fiber coupler 3 and third fiber coupler 14 is 50:50, described the
The splitting ratio of two fiber couplers 5 is 80:20.
Embodiment two
The structure and first embodiment phase of a kind of Brillouin optical time-domain reflectometer of physical random number modulation provided in this embodiment
It together, the difference is that, when host computer 22 is decoded operation, is transported by related operation and cumulative mean in the present embodiment
It calculates, Brillouin shift distribution is demodulated, as shown in Fig. 2, being provided with related operation unit 25 and cumulative mean in host computer 22
Processing unit 26, related operation unit 25 are connect with cumulative mean processing unit 26, the detailed process being decoded are as follows:
The first input port M that the real random code 23 that module 8 issues inputs host computer 22, cloth occur for S1, the physical random number
In deep scattered signal 24 the second input port N of host computer 22 is inputted after the A/D conversion module 21 is converted to digital signal.
S2, related operation unit 25 carry out related operation, method particularly includes: related operation unit 25 is to real random code 23
First part's coded strings carry out related computing with first brillouin scattering signal 24, obtain the noisy cloth of the first band
In deep frequency displacement distribution curve;Second part coded strings and Article 2 Brillouin scattering of the related operation unit 25 to real random code 23
Signal carries out related computing, obtains the noisy Brillouin shift distribution curve of second strip;……;Related operation unit
The the n-th code segment string and nth brillouin scattering signal of 25 pairs of real random codes 23 carry out related computing, obtain nth
Brillouin shift distribution curve with noisy Brillouin shift distribution curve, until completing all different frequencies;The n table
Show the quantity of the coded strings in real random code 23.
S3, cumulative mean processing unit 26 carry out cumulative mean processing, method particularly includes: related operation unit 25 will obtain
The noisy Brillouin shift distribution curve of n band be sent to the cumulative mean processing unit 26;At the cumulative mean
The noisy Brillouin shift distribution curve of this n band be averaging processing again after adding up by reason unit 26, obtains in cloth
Deep scattering curve 27.
The invention proposes a kind of Brillouin optical time-domain reflectometers of physical random number modulation, due to physical random number itself
With good correlation properties, by the available additional coding gain of sequential coding impulses injection sensor fibre, therefore this hair
It is bright to improve system signal noise ratio;Meanwhile the present invention utilizes physical random number and coding brillouin scattering signal in decoding process
Multiple related average calculating operation can further decrease system noise, improve anti-interference and measurement accuracy, solve system space
Under the premise of resolution ratio is constant, signal-to-noise ratio promotes the problem of improving measurement accuracy, in addition, being modulated in the present invention using gain switch
Device can save bias control device necessary to traditional Electro-optical Modulation scheme, to save the cost and reduce system complexity;Together
When, can avoid electrooptic modulator insertion loss, guarantee it is higher enter fine peak power.The present invention can guarantee spatial discrimination
Strain size and position under the premise of rate, along the monitoring sensor fibre of real-time high-precision.
Finally, it should be noted that the above embodiments are only used to illustrate the technical solution of the present invention., rather than its limitations;To the greatest extent
Pipe present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that: its according to
So be possible to modify the technical solutions described in the foregoing embodiments, or to some or all of the technical features into
Row equivalent replacement;And these are modified or replaceed, various embodiments of the present invention technology that it does not separate the essence of the corresponding technical solution
The range of scheme.
Claims (4)
1. a kind of Brillouin optical time-domain reflectometer of physical random number modulation, which is characterized in that including the first DFB Laser emission mould
Block (1), the 2nd DFB laser emitting module (2), the first fiber coupler (3), pulse image intensifer (4), the second fiber coupler
(5), module (8), DWDM dense wavelength division multiplexing occur for Polarization Controller (6), gain switch modulator (7), physical random number
Device (9), sensor fibre (10), optical fiber circulator (11), continuous image intensifer (12), optical filter (13), third fiber coupling
Device (14), scrambler (15), photodetector (16), frequency mixer (17), microwave tunable frequency source (18), electric amplifier (19),
Electrical filter (20), A/D conversion module (21) and host computer (22);
The continuous optical signal that the first DFB laser emitting module (1) issues is output to the input of the second fiber coupler (5)
End is divided into reference light and detection light two parts through the second fiber coupler (5), wherein detecting light from the second fiber coupler (5)
The first output end output, after Polarization Controller (6), gain switch modulator (7), be output to the first fiber coupler (3)
First input end;The 2nd DFB laser emitting module (2) issues continuous optical signal and is output to the first fiber coupler (3)
The second input terminal;
The output end of first fiber coupler (3) is after pulsed light amplifier (4), DWDM dense wavelength division multiplexing device (9)
It is connect with the first port of optical fiber circulator (11), the second port of optical fiber circulator (11) is connect with sensor fibre (10), light
The third port of fine circulator (11) is connect with the input terminal of continuous image intensifer (12), is believed faint backward Brillouin scattering
Number carry out power amplification, the output end of the continuous image intensifer (12) after optical filter (13) with third fiber coupler
(14) first input end connection;
Second fiber coupler (5) second output terminal output reference light after scrambler (15) with third fiber coupling
Second input terminal of device (14) connects;The output signal of the third fiber coupler (14) is detected by photodetector (16),
The output signal of the photodetector (16) and the microwave signal of microwave tunable frequency source (18) transmitting are mixed through frequency mixer (17)
Frequently, host computer (22) are output to after electric amplifier (19), electrical filter (20), A/D conversion module (21);
Module (8) occur for the physical random number for generating two groups of identical real random codes, wherein one group of real random code is sent
To the control terminal of gain switch modulator (7), continuous optical signal is made to be modulated into sequential coding pulsed optical signals, another group very with
Machine code is sent to host computer (22), and the host computer is used to be decoded fortune to brillouin scattering signal according to the real random code
It calculates, demodulates Brillouin shift distribution.
2. a kind of Brillouin optical time-domain reflectometer of physical random number modulation according to claim 1, which is characterized in that institute
State the fiber coupling that the first fiber coupler (3), the second fiber coupler (5) and third fiber coupler (14) are 1 × 2
The splitting ratio of device, first fiber coupler (3) and third fiber coupler (14) is 50:50, second fiber coupling
The splitting ratio of device (5) is 80:20.
3. a kind of Brillouin optical time-domain reflectometer of physical random number modulation according to claim 1, which is characterized in that the
One DFB laser emitting module (1) is used to issue the continuous optical signal that central wavelength is 1550.12nm, the 2nd DFB laser hair
Module (2) are penetrated for issuing the continuous optical signal that central wavelength is 1560.12nm.
4. a kind of Brillouin optical time-domain reflectometer of physical random number modulation according to claim 1, which is characterized in that institute
It states in host computer (22) and is provided with related operation unit (25) and cumulative mean processing unit (26);The host computer (22) carries out
Related operation and cumulative mean operation demodulate Brillouin shift distribution method particularly includes:
First part coded strings and first brillouin scattering signal (24) of the related operation unit (25) to real random code (23)
Related computing is carried out, the noisy Brillouin shift distribution curve of the first band is obtained;Related operation unit (25) is to true
The second part coded strings and Article 2 brillouin scattering signal of random code (23) carry out related computing, obtain second strip
Noisy Brillouin shift distribution curve;……;N-th code segment string of the related operation unit (25) to real random code (23)
Related computing is carried out with nth brillouin scattering signal, obtains the noisy Brillouin shift distribution curve of nth band,
Brillouin shift distribution curve until completing all different frequencies;Related operation unit (25) and cumulative mean processing unit
(26) it connects, the noisy Brillouin shift distribution curve of obtained n band is sent to the cumulative mean processing unit
(26);The cumulative mean processing unit (26) adds up the noisy Brillouin shift distribution curve of obtained n band
Average treatment obtains Brillouin scattering curve (27), and the n indicates the quantity of the coded strings in real random code (23).
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