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CN110971302A - A device and method for estimating fiber dispersion by low-speed delay sampling - Google Patents

A device and method for estimating fiber dispersion by low-speed delay sampling Download PDF

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CN110971302A
CN110971302A CN201911261457.7A CN201911261457A CN110971302A CN 110971302 A CN110971302 A CN 110971302A CN 201911261457 A CN201911261457 A CN 201911261457A CN 110971302 A CN110971302 A CN 110971302A
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乔耀军
唐都
王欣欣
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Beijing University of Posts and Telecommunications
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Abstract

本发明公开了一种低速采样与延时采样结合估计光纤色散的装置与方法,该方法包括:步骤1:建立残余色散‑代价函数值查找表:用低速延时相干探测单元对光信号进行低速探测,经过等效采样单元获得等效过采样信号,再经色散补偿单元和计算单元,调整搜索判断单元与调整单元至建表状态,建立残余色散‑代价函数值查找表;步骤2:以步骤1中所获参数设置搜索判断单元并调整其与调整单元至估测状态;步骤3:用步骤2中装置对光信号进行低速探测,经过色散补偿迭代和查表得到色散估计值。本发明公开的方法及装置能实现对低速率采样的信号进行色散估计,降低了监测成本、运算复杂度和前期准备的时间成本。

Figure 201911261457

The invention discloses a device and method for estimating optical fiber dispersion by combining low-speed sampling and time-delay sampling. The method includes: step 1: establishing a residual dispersion-cost function value look-up table: using a low-speed delay coherent detection unit to perform low-speed detection on an optical signal Detecting, obtaining an equivalent oversampling signal through the equivalent sampling unit, and then adjusting the search judgment unit and the adjustment unit to the table-building state through the dispersion compensation unit and the calculation unit, and establishes the residual dispersion-cost function value look-up table; Step 2: step The parameters obtained in 1 set the search judgment unit and adjust it and the adjustment unit to the estimation state; Step 3: Use the device in step 2 to detect the optical signal at low speed, and obtain the dispersion estimation value through dispersion compensation iteration and table look-up. The method and device disclosed in the present invention can realize dispersion estimation for signals sampled at a low rate, and reduce monitoring cost, computational complexity and time cost of preliminary preparation.

Figure 201911261457

Description

Device and method for estimating optical fiber dispersion by low-speed delay sampling
Technical Field
The invention relates to the technical field of communication, in particular to a device and a method for estimating optical fiber dispersion by low-speed delay sampling.
Background
With the increasing demand for data services, the capacity of optical transmission networks is increasing, the transmission distance is also increasing, and the optical signals are affected by Chromatic Dispersion (CD) and nonlinearity in the transmission process of the optical fiber. In order to better manage and monitor the Optical network and ensure the reliability and stability of the system, Optical Performance Monitoring (OPM) gets more and more attention, and among numerous Monitoring indexes, chromatic dispersion is an important parameter for measuring the quality of an Optical fiber link, and has an important meaning for estimating and measuring the system.
The estimation and compensation of the dispersion are the premise for processing the nonlinear effect, and the precision of the dispersion compensation directly influences the processing process of the subsequent signals. The digital signal processing technology can be used for effectively compensating the dispersion, and accurate and quick dispersion estimation can provide a basis for subsequent dispersion compensation, thereby being greatly helpful for improving the transmission performance of the system.
In the prior art, the delay sampling technology is considered to be an effective, reliable and low-cost dispersion estimation technology. The signal waveform is sampled in the form of sampling pairs (Xi, Yi), sampling points Xi and Yi are delayed by tau, asynchronous delay sampling is achieved, distortion of the signal can be represented by drawing a scatter diagram (delay sampling diagram) of the sampling points obtained by two ADC taps, and the function of the sample is similar to that of an eye diagram. Since the desired signal is sampled in a Digital Signal Processing (DSP) based receiver, delay tap sampling can be easily implemented and is naturally suitable for dispersion estimation. However, as the transmission rate is continuously increased, if the conventional delay tap sampling technique is adopted, since it requires 2 times of symbol rate sampling, there will be a relatively high requirement for the sampling rate of the dispersion estimation device, and the increase of the sampling rate means the increase of the cost.
In recent years, researchers have attracted attention on how to reduce the cost of dispersion monitoring equipment, and the application of low-speed sampling technology in dispersion monitoring equipment is the most direct way to reduce the cost. The low-speed sampling technique is a technique with a sampling rate lower than the nyquist sampling rate, and at a low sampling rate, a periodic training sequence can be used, which is equivalent to an oversampled signal. The equivalent sampling is implemented under the low-speed sampling, and the cost of the dispersion monitoring equipment can be greatly reduced on the premise of ensuring that the performance is not obviously degraded by combining the existing dispersion estimation means.
The current methods for performing dispersion estimation under low-speed sampling technology mainly include two methods: a is for sampling under the low speed and carrying on the equivalent sampling after the fractional Fourier transform (FrFT) blind dispersion estimation method, utilize training sequence, sample at low speed, the signal got is transformed into the fractional domain, the energy concentration can be represented by the concentrated function of energy of different transformation orders, search its extreme value in order to obtain the optimum order, utilize the optimum order in the fractional domain to estimate the cumulative dispersion value finally, its disadvantage is that it is high to calculate the complexity when transforming to the search optimum order of the fractional domain; the other method relies on a neural network, a large amount of data (training set) in the system is utilized to train the neural network to extract data characteristics, finally, a test set is input into a trained neural network model, and weighted average is carried out on the output of a neural network unit and reference dispersion, so that a dispersion estimation value is obtained.
Disclosure of Invention
The invention provides a device and a method for estimating optical fiber dispersion by low-speed delay sampling, aiming at overcoming the defects of higher operation complexity of a fractional Fourier transform (FrFT) -based blind dispersion estimation method under the existing low-speed sampling and high time cost and poor mobility of a dispersion estimation method combining a neural network under the low-speed sampling, and greatly reducing the time cost before a dispersion estimation device is put into use and the operation complexity of the dispersion estimation device.
In a first aspect, an apparatus for estimating fiber dispersion by low-speed delay sampling is provided, the apparatus comprising:
the low-speed delay coherent detection unit is used for carrying out delay sampling on the signal at a set low sampling rate to obtain a delay under-sampled signal;
the equivalent sampling unit is connected with the low-speed coherent detection unit, and performs down-sampling and splicing on a frame where a training sequence is located by using the periodicity of the training sequence in a signaling to equivalently obtain an over-sampling signal;
the dispersion compensation unit is connected with the equivalent sampling unit so as to perform Overlapping Frequency Domain Equalization (OFDE) on the equivalent sampling signal by the step length fed back by the adjustment unit; wherein, the sampling rate required by the overlapped frequency domain equalization is the oversampling rate of the equivalent oversampling signal;
the calculation unit is connected with the dispersion compensation unit and calculates a function value related to dispersion for the signal processed by the dispersion compensation unit by using a designed cost function;
the searching and judging unit is connected with the calculating unit, the estimation state is that the cost function value output by the calculating unit is searched in a built dispersion-cost function value lookup table, so that whether the table lookup is finished to estimate the dispersion and judge whether the dispersion compensation step length needs to be adjusted or not is judged, if the cost function value is higher than a small step length adjustment threshold, the dispersion compensation step length is still judged to be an initial large step length, if the cost function value is smaller than a set small step length adjustment threshold, the dispersion compensation step length needs to be adjusted to the small step length, and if the cost function value falls into a table lookup interval, the residual dispersion value obtained by the table lookup is sent to the adjusting unit and is not searched any more; the table building state is that no processing is carried out on the signal;
and the adjusting unit is connected with the searching and judging unit and the dispersion compensation unit and adjusts the step length of dispersion compensation or jumps out of the dispersion estimation process according to the judging result transmitted by the searching and judging unit.
Wherein, the low-speed time delay coherent detection unit comprises:
the system comprises a local oscillator laser, two polarization beam splitters, eight photoelectric detectors, four time delays and eight low-speed analog-to-digital converters; wherein, the time delay generated by the time delay device is a low-speed sampling period; the two low-speed analog-to-digital converters respectively output two paths of low-speed sampling signals in an X polarization state I, Q, the two delayers are connected with the two low-speed analog-to-digital converters and respectively output two paths of low-speed delay sampling signals in an X polarization state I, Q, the two low-speed analog-to-digital converters respectively output two paths of low-speed sampling signals in a Y polarization state I, Q, and the two delayers are connected with the two low-speed analog-to-digital converters and respectively output two paths of low-speed delay sampling signals in a Y polarization state I, Q;
wherein, the meterThe calculation unit is specifically used for calculating the distance between the delayed sampling power pair and the diagonal line on the delayed sampling graph according to the two polarization states and a formula
Figure BDA0002311711620000021
Determining a function value related to the dispersion to obtain a dispersion-cost function value lookup table; wherein the delayed sampling power is relative to the distance from the diagonal line on the delayed sampling diagram
Figure BDA0002311711620000022
In a second aspect, a method for estimating fiber dispersion for low-speed delay sampling is provided, the method comprising:
step 1: the method comprises the steps that a low-speed delay coherent detection unit is used for carrying out low-speed delay detection on optical signals transmitted in an optical fiber link at an estimated position, the signals are subjected to down-sampling and splicing through an equivalent sampling unit and are equivalent to oversampled signals, a dispersion compensation unit is used for carrying out dispersion compensation on the signals subjected to equivalent sampling in a set small step length, a calculation unit calculates a function value related to dispersion on the signals processed by the dispersion compensation unit, and a search judgment unit and an adjustment unit are set to be in a table building state;
the table building states of the searching and judging unit and the adjusting unit are as follows: the searching and judging unit does not process the signal, the adjusting unit jumps out of the compensation dispersion estimation flow when the compensated dispersion reaches at least 2 times of the compensated dispersion corresponding to the lowest value of the cost function, and a residual dispersion-cost function value lookup table is established.
Wherein, the step 1 specifically comprises the following substeps:
step 1.1: and performing low-speed time delay detection on the optical signals of the same modulation format after being transmitted by the optical fiber links under different conditions by using a low-speed time delay coherent detection unit to obtain I, Q two-path discrete digital sequences in two polarization states under different transmission conditions.
The symbol period of the optical signal transmission training sequence in the same modulation format is T;
wherein, the different transmission conditions refer to the transmission span number of the optical digital signals;
step 1.2: and (3) carrying out equivalent sampling on the signal obtained in the step (1.1) by using an equivalent sampling unit to obtain an equivalent sampling signal.
Wherein, the calculation formula of the down sampling interval in the equivalent sampling is characterized by (1):
Figure BDA0002311711620000031
where M denotes the down-sampling interval, T denotes the period of the training sequence, TsIndicating the low-speed sampling period, and M is the result of rounding up after calculation.
Wherein, the equivalent sampling rate calculation formula in the equivalent sampling is characterized by (2):
Figure BDA0002311711620000032
wherein f iseqvRepresenting the equivalent sampling rate, M the down-sampling interval, T the period of the training sequence, TsIndicating a low-speed sampling period.
Step 1.3: and performing dispersion compensation on the signal subjected to the equivalent sampling by using a dispersion compensation unit in a set small step length.
The dispersion compensation method is an Overlapped Frequency Domain Equalization (OFDE), the number of overlapped points of the frequency domain is the number of corresponding points of the OFDE under the highest optical fiber span section in different transmission conditions of the system, the number of FFT points is 2 times of the number of overlapped points of the frequency domain, and the sampling rate is set to be the equivalent sampling rate calculated in the step (2);
step 1.4: the calculation unit calculates a function value related to dispersion for the signal processed by the dispersion compensation unit, and establishes a corresponding relation between accumulated dispersion and the function value.
Wherein the dispersion-related cost function is characterized by (3):
Figure BDA0002311711620000033
wherein std represents a standard deviation, dx(y)Expressed as x-polarization state or y-polarization stateDelayed sample power versus distance from diagonal, d, on the delayed sample plotx(y)Is characterized by (4):
Figure BDA0002311711620000041
wherein, the power of the equivalent post-sampling point forms a delay sampling power pair according to every two continuous groups, and is respectively Px(y)[2n]And Px(y)[2n-1]The delay time of the delayed sample is 1 period of the equivalent sample symbol.
Step 1.5: the adjusting unit is set to jump out of the compensation dispersion estimation process when the compensated dispersion reaches at least 2 times of the compensated dispersion corresponding to the lowest value of the cost function, average different cost function values of the same residual dispersion under different transmission conditions, select a proper size step length adjusting threshold avoiding a limiting point in a range with positive residual dispersion, select a range with higher coincidence degree of dispersion-cost function value curves under different transmission conditions as a table building range in a range with negative residual dispersion, and build a residual dispersion-cost function value lookup table suitable for different transmission conditions.
Wherein the residual dispersion is the difference between the known dispersion and the accumulated compensation dispersion.
Wherein the limit point is the lowest point of the cost function value before the residual dispersion and the cost function value are in obvious linear relation.
Step 2: and (2) setting a search judgment unit according to the size step length adjustment threshold and the table lookup table interval in the step (1), putting the table lookup in the step (1) into the search judgment unit, and adjusting the search judgment unit and the adjustment unit to an estimation state.
Wherein, the estimation states of the search judging unit and the adjusting unit are as follows: the searching and judging unit searches the cost function value output by the calculating unit in the established dispersion-cost function value lookup table so as to judge whether the table is looked up to complete dispersion estimation and judge whether the dispersion compensation step length needs to be adjusted or not, if the cost function value is higher than a small step length adjustment threshold, the dispersion compensation step length is still the initial large step length, if the cost function value is smaller than the set small step length adjustment threshold, the dispersion compensation step length needs to be adjusted to the small step length, if the cost function value falls into the table look-up interval, the residual dispersion value obtained by table look-up is sent to the adjusting unit and is not searched again, the adjusting unit adjusts the dispersion compensation step length or jumps out of the dispersion estimation flow according to the judgment result transmitted by the searching and judging unit, if the judgment result transmitted by the searching and judging unit is the large step length, the dispersion compensation step length is adjusted to the large step, if the judgment result transmitted by the searching and judging unit is a small step length, the step length of dispersion compensation is adjusted to be the small step length, if the judgment result transmitted by the searching and judging unit is the corresponding dispersion after table look-up, the step length of dispersion compensation is adjusted to be the table look-up value, the judgment result transmitted by the searching and judging unit at the next time is ignored, and an estimation process is skipped;
and step 3: and (3) placing the device in the step (2) into an estimation position to perform low-speed detection on the optical signal transmitted in the optical fiber link, so as to obtain a dispersion estimation value represented by a formula (5):
CDest=KL×Slarge+KS×Ssmall+Slookup(5)
wherein, CDestFor estimated dispersion values, SlargeAnd SsmallRespectively representing a large step size and a small step size, SlookupRepresents the dispersion value obtained by looking up the table, and is a negative value. KLAnd KSRepresenting the number of large and small step iterations, respectively.
So far, from step 1 to step 3, a method for estimating fiber dispersion by low-speed delay sampling is completed.
Advantageous effects
Compared with the existing dispersion estimation system and method of low-speed sampling, the device and method for estimating the optical fiber dispersion by low-speed delay sampling have the following beneficial effects:
1. the existing blind dispersion estimation method based on fractional Fourier transform (FrFT) under low-rate sampling needs to perform fractional Fourier transform and search for an optimal order at dispersion estimation equipment, has high operation complexity, and can greatly reduce the operation complexity of dispersion estimation under low-rate sampling;
2. the existing dispersion estimation method based on the neural network under low-rate sampling needs a large number of training processes before deployment, the time cost is high, and the requirement on the performance of a trained computer is high.
Drawings
Fig. 1 is a schematic diagram of an apparatus and a method for estimating optical fiber dispersion by low-speed delay sampling according to the present invention and an equivalent sampling under low-speed sampling in embodiment 1;
FIG. 2 is a delay sampling diagram after equivalent sampling in the apparatus and method for estimating fiber dispersion by low-speed delay sampling and embodiment 1 of the present invention;
FIG. 3 is a schematic diagram of an apparatus and method for estimating fiber dispersion by low-speed delay sampling according to the present invention and the apparatus in embodiment 1;
FIG. 4 is a flowchart of an iterative dispersion estimation search process in the embodiment 1 of the apparatus and method for estimating optical fiber dispersion by low-speed delay sampling according to the present invention;
FIG. 5 is a diagram of a simulation system in the embodiment 2 of the present invention and an apparatus and method for estimating fiber dispersion by low-speed delay sampling;
fig. 6 is a graph of cost function value-residual dispersion curve under 5-20 span transmission conditions in a low-speed delay sampling and estimation device and method for optical fiber dispersion and embodiment 2 of the present invention;
FIG. 7 is a diagram showing the result of the chromatic dispersion estimation of an optical signal independent and unrelated to the optical signal used for the table establishment in the apparatus and method for estimating the chromatic dispersion of an optical fiber by low-speed delay sampling according to the present invention and embodiment 2;
FIG. 8 is a diagram showing the result of estimating the chromatic dispersion of the periodic training sequence signal in the PDM-QPSK signal transmitted through the optical fiber link under different ASE and nonlinear noise according to the apparatus and method for estimating the optical fiber chromatic dispersion by low-speed delay sampling of the present invention and embodiment 3;
fig. 8 is a graph showing (a) a result of performing dispersion estimation on a periodic training sequence signal in a PDM-QPSK signal by changing ASE noise, and (b) a result of performing dispersion estimation on a periodic training sequence signal in a PDM-QPSK signal by changing nonlinear noise;
fig. 9 is a diagram of a result of chromatic dispersion estimation of a periodic training sequence signal in a PDM-QPSK signal in an actual system in an embodiment 4 and an apparatus and a method for estimating optical fiber chromatic dispersion by low-speed delay sampling according to the present invention;
Detailed Description
Example 1
The embodiment 1 of the invention elaborates the principle, the device composition and the function of the method for estimating the optical fiber dispersion by low-speed delay sampling.
Fig. 1 shows the principle of equivalent sampling under low-rate sampling in this embodiment 1. Although the sampling rate of the receiver is much lower than the nyquist sampling, due to the periodicity of the training sequence, the reassembly of the sampled data is equivalent to oversampling, where T issDenotes the sampling period, T0Denotes the symbol period, T-64T0Representing the period of the training sequence, the obtained equivalent sampling period is MTs-T. FIG. 2 is a diagram of delayed sampling after equivalent sampling in this embodiment 1, where dxExpressed as the time-delayed sampled power in the x-polarization state versus the distance from the diagonal on the delayed sample plot. Fig. 3 is a schematic view of the apparatus in embodiment 1, wherein the apparatus 300 includes: the system comprises a low-speed delay coherent detection unit 301, an equivalent sampling unit 302, a dispersion compensation unit 303, a calculation unit 304, a search judgment unit 305 and an adjustment unit 306.
The low-speed delay coherent detection unit 301 is used for performing low-speed delay detection on an optical signal transmitted in an optical fiber link at an estimation position, the signal is subjected to down-sampling and splicing through the equivalent sampling unit 302 and is equivalent to an oversampled signal, the dispersion compensation unit 303 is used for performing dispersion compensation on the equivalently sampled signal with the step length adjusted by the adjustment unit, the calculation unit 304 calculates a function value related to dispersion on the signal processed by the dispersion compensation unit, and searching iteration is performed through the searching judgment unit 305 and the adjustment unit 306 until table lookup is performed to complete dispersion estimation. FIG. 4 is a flowchart illustrating an iterative search process for chromatic dispersion estimation in this embodiment 1, where a is a step length adjustment factor, SlargeAnd SsmallAre respectively provided withCorresponding to large step length and small step length, SlookupThe dispersion value obtained by looking up the table is negative. t is t1For small step size threshold, when the function value F is related to chromatic dispersiondBelow t1Then, change from large step length to small step length, t2And t3For looking up the table window, when FdEntry into this window will trigger a table lookup operation. Setting the iteration times of the large step length and the small step length as K respectivelylAnd KsThen, the estimated value CD of the dispersionestCan be calculated from the following formula:
CDest=Kl×Slarge+Ks×Ssmall+Slookup
example 2
In order to make the purpose, technical scheme and advantages of the apparatus and method for estimating optical fiber dispersion by low-speed delay sampling more clear, the technical scheme in the embodiment of the present invention is clearly and completely described below with reference to the accompanying drawings in embodiment 2 of the present invention:
fig. 5 is a diagram of a simulation system of this embodiment 2, which is seen to include an optical transmitting end 501, an EDFA 502, M optical fiber spans (one span includes 100km of standard single-mode fiber and one EDFA)503, a Set OSNR module 504, and the present apparatus 505.
The light emitting end 501 is configured to emit a PDM-QPSK signal, where a symbol period of a training sequence is 64; the input interface of the optical amplifier 502 is connected with the output interface of the transmitting terminal 501, and is used for adjusting the transmitting power of the transmitting terminal; the M optical fiber spans 503 are connected to the optical amplifier 502, and are used for transmitting PDM-QPSK signals generated by the transmitting end and generating cumulative dispersion; the input of the Set OSNR module 504 is connected to the outputs of the M optical fiber spans 503, and is configured to Set an optical signal-to-noise ratio of an optical signal; the input of the present apparatus 505 is connected to the output of the Set OSNR module 504 for estimating the dispersion in the optical fiber communication link.
The embodiment of the invention builds the simulation system for estimating the optical fiber communication link dispersion by the low-speed delay sampling device and the method, and is used for acquiring the optical signals sampled at low speed under different transmission conditions. PDM-QPSK signalThe transmission symbol rate of the periodic training sequence signal is 20.14 GB; the symbol period of the transmitted training sequence is 64; the low-speed sampling rate of the device is 1.25 GSa/s; the transmitting power is set to 0 dBm; OSNR is set to 18 dB; the number of the cross sections is within the range of 1-5 and 10-20, and the intervals are 1 and 5 respectively (namely, the transmission distance is within the range of 100-500 km and 1000-2000 km, and the intervals are 100km and 1000km respectively). No Amplifier Spontaneous Emission (ASE) noise is added to each EDFA, and the OSNR is controlled by Set OSNR modules at the end of the fiber link. Using Standard Single Mode Fiber (SSMF) with 16e dispersion coefficient and nonlinear coefficient- 6s/m2And 1.31W-5km-5. Therefore, the reference dispersion values are 1600ps/nm to 8000ps/nm and 16000ps/nm to 32000ps/nm, and the intervals are 1600ps/nm and 8000ps/nm respectively.
In embodiment 2 of the present invention, the simulation experiment platform is vpitrismision maker 9.5;
this embodiment 2 specifically includes the following steps:
step 1: the light emitting end equipment outputs a PDM-QPSK optical signal, and the periodic training sequence symbol period of the PDM-QPSK optical signal is 64;
step 2: the modulated optical signals are transmitted in optical fiber links with different transmission conditions;
and step 3: establishing a residual dispersion-cost function value lookup table;
wherein, the step 3 is specifically the following substeps:
step 3.1: setting the searching and judging unit and the adjusting unit to be in a table building state, and carrying out low-speed detection on optical signals transmitted by optical fiber links under different conditions by using a low-speed time-delay coherent detection unit to obtain I, Q paths of discrete digital sequences in two polarization states under different transmission conditions;
step 3.2: performing equivalent sampling on the signal obtained in the step 3.1 by using an equivalent sampling unit to obtain an equivalent sampling signal;
step 3.3: performing dispersion compensation on the signal subjected to the equivalent sampling by using a dispersion compensation unit in a set small step (lower than 16 ps/nm);
the larger the dispersion is, the higher the needed FFT point number and the Overlap point number are, and the highest simulation midspan section is 20, so that the point number of frequency domain overlapping is uniformly set to be 512, and the FFT point number is 1024;
step 3.4: the calculation unit calculates a function value related to dispersion for the signal processed by the dispersion compensation unit, and establishes a corresponding relation between accumulated dispersion and the function value;
step 3.5: the adjusting unit is set to jump out of the compensation dispersion estimation process when the compensated dispersion reaches at least 2 times of the compensated dispersion corresponding to the lowest value of the cost function, different cost function values of the same residual dispersion under different transmission conditions are averaged, a proper size step length adjusting threshold is selected in a region where the residual dispersion is positive while avoiding a limiting point, a region with higher coincidence degree of dispersion-cost function value curves under different transmission conditions is selected as a table building region in a region where the residual dispersion is negative, and a residual dispersion-cost function value lookup table suitable for different transmission conditions is built;
fig. 6 is a graph of cost function value-residual dispersion curve under the transmission condition of 5-20 spans, which illustrates the limit point and the table building interval in step 3.5;
and 4, step 4: setting a search judgment unit according to the size step length adjustment threshold and the table lookup table interval in the step (3), putting the table lookup in the step (3) into the search judgment unit, adjusting the search judgment unit and the adjustment unit to an estimation state, and performing low-speed detection on the periodic training sequence optical signal which is independent and irrelevant to the periodic training sequence optical signal used for table establishment to obtain a dispersion estimation value;
fig. 7 is a diagram illustrating a result of chromatic dispersion estimation on periodic training sequence optical signals independent and unrelated to the periodic training sequence optical signals used for table creation in embodiment 2 of the present invention, where a horizontal axis represents a theoretical value of chromatic dispersion, a left vertical axis represents an estimated value of chromatic dispersion, and a right vertical axis represents an absolute error of estimated chromatic dispersion. Fig. 7 shows that the present invention has a good effect on the dispersion estimation of the periodic training sequence signal in the PDM-QPSK signal.
Example 3
This example 3 verifies that the present invention is robust to ASE and nonlinear noise when estimating dispersion in an optical fiber communication link. The specific implementation mode is as follows: the OSNR and the transmit Power (Launch Power) are varied, respectively, thereby varying the ASE and the nonlinear noise.
Fig. 8 is a diagram illustrating a result of performing dispersion estimation on a periodic training sequence signal in a PPDM-QPSK signal transmitted by an optical fiber link under different ASE and nonlinear noise. FIG. 8(a) is a graph showing the result of varying ASE noise in the dispersion estimation of the periodic training sequence signal in the PDM-QPSK signal; fig. 8(b) is a diagram showing the result of performing dispersion estimation on a periodic training sequence signal in a PDM-QPSK signal by changing nonlinear noise. In fig. 8(a), the abscissa is OSNR, the left vertical axis is absolute error of dispersion estimation, and the right vertical axis is relative error of dispersion estimation. The abscissa of fig. 8(b) is the transmit power, the left vertical axis is the absolute error of the dispersion estimate, and the right vertical axis is the relative error of the dispersion estimate. Figure 8 demonstrates that the present invention is robust to ASE and nonlinear noise when estimating dispersion in an optical fiber communications link.
Example 4
This example 4 demonstrates the performance of the present invention in estimating dispersion in an optical fiber communication link in a practical system. The specific implementation mode is as follows: building an actual system, wherein the signal transmission symbol rate of the PDM-QPSK periodic training sequence is 20.14 GB; the symbol period of the transmitted training sequence is 64; the sampling rate of a receiving end is 1.25 GSa/s; the transmitting power is set to 0 dBm; OSNR is set to 18 dB; the number of the cross sections is within the range of 1-5, and the interval is 1 (namely the transmission distance is 100-500 km, and the interval is 100 km). Using Standard Single Mode Fiber (SSMF) with 16e dispersion coefficient and nonlinear refractive index-6s/m2And 2.4e-20m2and/W. Therefore, the reference dispersion value is 1600ps/nm to 8000ps/nm, and the interval is 1600 ps/nm. The data is processed off-line to estimate the dispersion of the actual system signal using the lookup table constructed in example 2 and the method of the present invention.
Fig. 9 is a diagram of a result of estimating chromatic dispersion of an optical signal in an actual system in embodiment 4 of the present invention, in which a horizontal axis is a theoretical value of chromatic dispersion, a left vertical axis is an estimated value of chromatic dispersion, and a right vertical axis is an absolute error of estimated chromatic dispersion. Fig. 8 shows that, when the lookup table established in the simulation system is used, the method has a good effect on the dispersion estimation of the periodic training sequence signal in the PDM-QPSK signal in the actual system.
While the foregoing is directed to the preferred embodiment of the present invention, it is not intended that the invention be limited to the embodiment and the drawings disclosed herein. Equivalents and modifications may be made without departing from the spirit of the disclosure, which is to be considered as within the scope of the invention.

Claims (8)

1.一种低速延时采样监测光纤色散的装置,其特征在于,该装置包括:1. a device for low-speed time delay sampling monitoring fiber dispersion, it is characterized in that, this device comprises: 低速延时相干探测单元,以设定的低采样率对信号延时采样,获得延时欠采样信号;The low-speed delay coherent detection unit samples the signal with a set low sampling rate and obtains the delayed under-sampling signal; 等效采样单元,所述等效采样单元与所述低速相干探测单元相连,利用所发信号中训练序列的周期性,对训练序列所在帧进行降采样与拼接,等效成过采样信号;an equivalent sampling unit, the equivalent sampling unit is connected to the low-speed coherent detection unit, and uses the periodicity of the training sequence in the transmitted signal to downsample and splicing the frame where the training sequence is located, which is equivalent to an oversampling signal; 色散补偿单元,所述色散补偿单元与所述等效采样单元相连,以调整单元所反馈的步长对等效采样信号进行重叠频域均衡(OFDE);其中,重叠频域均衡所需要的采样率为等效过采样信号的过采样率;a dispersion compensation unit, which is connected to the equivalent sampling unit, and performs overlapping frequency domain equalization (OFDE) on the equivalent sampling signal with the step size fed back by the adjustment unit; wherein, the sampling required for the overlapping frequency domain equalization is the oversampling rate of the equivalent oversampled signal; 计算单元,所述计算单元与所述色散补偿单元相连,利用设计好的代价函数,对色散补偿单元处理后的信号计算出一个与色散相关的函数值;a calculation unit, which is connected to the dispersion compensation unit, and uses the designed cost function to calculate a function value related to dispersion for the signal processed by the dispersion compensation unit; 搜索判断单元,所述搜索判断单元与所述计算单元相连,其估测状态为在建立好的色散-代价函数值查找表中搜索计算单元输出的代价函数值,从而判断是否查表完成色散估计、判断是否需要调整色散补偿步长,若代价函数值高于小步长调整门限,则判断色散补偿步长仍为初始大步长,若代价函数若代价函数值小于所设定的小步长调整门限,则判断需调整色散补偿步长至小步长,若代价函数值落入查表区间,则将查表得到的残余色散值送入调整单元,并不再进行搜索;其建表状态为对信号不做任何处理;A search judgment unit, the search judgment unit is connected with the calculation unit, and its estimated state is to search for the cost function value output by the calculation unit in the established dispersion-cost function value lookup table, thereby judging whether to look up the table to complete the dispersion estimation , Determine whether the dispersion compensation step size needs to be adjusted. If the cost function value is higher than the small step size adjustment threshold, it is judged that the dispersion compensation step size is still the initial large step size. If the cost function value is smaller than the set small step size If the threshold is adjusted, it is judged that the dispersion compensation step size needs to be adjusted to a small step size. If the cost function value falls within the table lookup interval, the residual dispersion value obtained from the table lookup will be sent to the adjustment unit, and the search will not be performed any more; In order not to do any processing on the signal; 调整单元,所述调整单元与所述搜索判断单元及色散补偿单元相连,根据搜索判断单元传递的判断结果,调整色散补偿的步长或跳出色散估计流程。An adjustment unit, which is connected to the search determination unit and the dispersion compensation unit, and adjusts the step size of dispersion compensation or skips the dispersion estimation process according to the determination result transmitted by the search determination unit. 2.如权利要求1所述的装置,其特征在于,所述低速延时相干探测单元包括:2. The apparatus of claim 1, wherein the low-speed delay coherent detection unit comprises: 一个本振激光,两个偏振分束器,八个光电探测器,四个延时器以及八个低速模数转换器;其中,延时器产生的时延为一个低速采样周期;其中,两个低速模数转换器分别输出X偏振态I、Q两路的低速采样信号,两个延时器与两个低速模数转换器相连,分别输出X偏振态I、Q两路的低速延时采样信号,两个低速模数转换器分别输出Y偏振态I、Q两路的低速采样信号,两个延时器与两个低速模数转换器相连,分别输出Y偏振态I、Q两路的低速延时采样信号。One local oscillator laser, two polarization beam splitters, eight photodetectors, four delayers and eight low-speed analog-to-digital converters; among them, the delay generated by the delayers is a low-speed sampling period; among them, two Two low-speed analog-to-digital converters output low-speed sampling signals of X-polarization states I and Q respectively, and two delayers are connected to two low-speed analog-to-digital converters to output low-speed delay signals of X-polarization states I and Q respectively. Sampling signal, two low-speed analog-to-digital converters output low-speed sampling signals of Y polarization state I and Q respectively, and two delayers are connected to two low-speed analog-to-digital converters, respectively output Y polarization state I, Q two channels The low-speed delay sampling signal. 3.如权利要求1所述的装置,其特征在于,所述计算单元具体用于根据两个偏振态延时采样功率对在延时采样图上到对角线的距离及公式
Figure FDA0002311711610000011
确定与色散相关的函数值,获得色散-代价函数值查找表;其中,延时采样功率对在延时采样图上到对角线的距离为
Figure FDA0002311711610000012
3. device as claimed in claim 1, is characterized in that, described computing unit is specifically used for according to two polarization state delay sampling power pair on the delay sampling graph to the distance and formula of diagonal line
Figure FDA0002311711610000011
Determine the function value related to dispersion, and obtain the lookup table of dispersion-cost function value; among them, the distance between the delay sampling power pair and the diagonal line on the delay sampling map is
Figure FDA0002311711610000012
4.一种低速延时采样的估计光纤色散的方法,其特征在于,该方法包括:4. A method for estimating fiber dispersion with low-speed delay sampling, characterized in that the method comprises: 步骤1:在估测位置用低速延时相干探测单元对光纤链路中传输的光信号进行低速延时探测,经过等效采样单元对信号进行降采样与拼接,等效成过采样信号,利用色散补偿单元,以设定的小步长对等效采样后的信号进行色散补偿,计算单元对色散补偿单元处理后的信号计算出一个与色散相关的函数值,将搜索判断单元与调整单元设置为建表状态;Step 1: Use a low-speed delay coherent detection unit at the estimated position to perform low-speed delay detection on the optical signal transmitted in the optical fiber link, down-sampling and splicing the signal through the equivalent sampling unit, and equivalently become an over-sampling signal. The dispersion compensation unit performs dispersion compensation on the equivalently sampled signal with a set small step size. The calculation unit calculates a function value related to dispersion for the signal processed by the dispersion compensation unit, and sets the search judgment unit and the adjustment unit. is the state of building the table; 步骤2:以步骤1中的大小步长调整门限及查表表区间设置搜索判断单元,将步骤1中的查找表置入搜索判断单元中,将搜索判断单元与调整单元调整至估测状态。Step 2: Set the search judgment unit with the step size adjustment threshold and the table lookup table interval in step 1, place the lookup table in step 1 in the search judgment unit, and adjust the search judgment unit and the adjustment unit to the estimation state. 步骤3:将步骤2中的装置置入估测位置对光纤链路中传输的光信号进行低速探测,得到色散估计值:Step 3: Put the device in step 2 into the estimated position to perform low-speed detection on the optical signal transmitted in the optical fiber link, and obtain the estimated dispersion value: 至此,从步骤1到步骤3,完成了一种低速延时采样的估计光纤色散的方法。So far, from step 1 to step 3, a method for estimating fiber dispersion with low-speed delay sampling is completed. 5.根据权利要求4所述的一种低速延时采样的估计光纤色散的方法,其特征在于:步骤1中,其中,搜索判断单元与调整单元的建表状态为:搜索判断单元对信号不做任何处理,调整单元在已补偿色散达到代价函数最低值所对应已补偿色散的至少2倍时跳出补偿色散估计流程,建立残余色散-代价函数值查找表。5. The method for estimating optical fiber dispersion for low-speed delay sampling according to claim 4, wherein: in step 1, wherein, the table-building state of the search and judgment unit and the adjustment unit is: the search and judgment unit has no effect on the signal. After doing any processing, the adjustment unit jumps out of the compensation dispersion estimation process when the compensated dispersion reaches at least 2 times the compensated dispersion corresponding to the lowest value of the cost function, and establishes a residual dispersion-cost function value lookup table. 6.根据权利要求4所述的一种低速延时采样的估计光纤色散的方法,其特征在于:步骤1包括如下子步骤:6. The method for estimating fiber dispersion by low-speed delay sampling according to claim 4, wherein step 1 comprises the following sub-steps: 步骤1.1:用低速延时相干探测单元对经过不同条件的光纤链路传输后的同一调制格式的光信号进行低速延时探测,得到不同传输条件下两个偏振态的I、Q两路离散数字序列。Step 1.1: Use the low-speed delay coherent detection unit to perform low-speed delay detection on the optical signal of the same modulation format after being transmitted through the optical fiber link under different conditions, and obtain the I and Q discrete digital signals of the two polarization states under different transmission conditions sequence. 其中,同一调制格式的光信号传输训练序列的符号周期为T;Wherein, the symbol period of the optical signal transmission training sequence of the same modulation format is T; 其中,不同传输条件指的是光数字信号的传输跨段数;Among them, the different transmission conditions refer to the number of transmission spans of the optical digital signal; 步骤1.2:用等效采样单元对步骤1.1中所得信号进行等效采样,得到等效采样信号。Step 1.2: Perform equivalent sampling on the signal obtained in step 1.1 with an equivalent sampling unit to obtain an equivalent sampling signal. 其中,等效采样中降采样间隔计算公式由(1)表征:Among them, the formula for calculating the downsampling interval in equivalent sampling is represented by (1):
Figure FDA0002311711610000021
Figure FDA0002311711610000021
其中,M表示降采样间隔,T表示训练序列的周期,Ts表示低速采样周期,M为计算后向上取整的结果。Among them, M represents the downsampling interval, T represents the period of the training sequence, T s represents the low-speed sampling period, and M represents the result of rounding up after calculation. 其中,等效采样中等效采样率计算公式由(2)表征:Among them, the calculation formula of equivalent sampling rate in equivalent sampling is represented by (2):
Figure FDA0002311711610000022
Figure FDA0002311711610000022
其中,feqv表示等效采样率,M表示降采样间隔,T表示训练序列的周期,Ts表示低速采样周期。Among them, f eqv represents the equivalent sampling rate, M represents the downsampling interval, T represents the period of the training sequence, and T s represents the low-speed sampling period. 步骤1.3:利用色散补偿单元,以设定的小步长对等效采样后的信号进行色散补偿。Step 1.3: Use the dispersion compensation unit to perform dispersion compensation on the equivalently sampled signal with a set small step size. 其中,色散补偿的方法为重叠频域均衡(OFDE),频域重叠的点数为OFDE在系统不同传输条件中最高光纤跨段下所对应的点数,FFT点数为频域重叠的点数的2倍,采样率设置为(2)中计算的等效采样率;Among them, the method of dispersion compensation is overlapping frequency domain equalization (OFDE). The number of overlapping points in the frequency domain is the number of points corresponding to OFDE under the highest fiber span in different transmission conditions of the system, and the number of FFT points is twice the number of overlapping points in the frequency domain. The sampling rate is set to the equivalent sampling rate calculated in (2); 步骤1.4:计算单元对色散补偿单元处理后的信号计算出一个与色散相关的函数值,并建立累积色散与该函数值的对应关系。Step 1.4: The calculation unit calculates a function value related to dispersion on the signal processed by the dispersion compensation unit, and establishes a corresponding relationship between the cumulative dispersion and the function value. 其中,与色散相关的代价函数由(3)表征:where the dispersion-related cost function is characterized by (3):
Figure FDA0002311711610000023
Figure FDA0002311711610000023
其中,std表示标准差,dx(y)表示为x偏振态或y偏振态上延时采样功率对在延迟采样图上距离对角线的距离,dx(y)的计算公式由(4)表征:Among them, std represents the standard deviation, d x(y) represents the distance from the diagonal of the delayed sampling power pair on the x-polarized state or y-polarized state on the delayed sampling map, and the calculation formula of d x(y) is given by (4 ) characterizes:
Figure FDA0002311711610000031
Figure FDA0002311711610000031
其中,等效后采样点的功率按照每连续两个一组构成延迟采样功率对,分别为Px(y)[2n]与Px(y)[2n-1],延迟采样的延迟时间为1个等效采样符号的周期。Among them, the power of the post-equivalent sampling points constitutes a pair of delayed sampling powers according to two consecutive groups, which are P x(y) [2n] and P x(y) [2n-1] respectively, and the delay time of the delayed sampling is The period of 1 equivalent sample symbol. 步骤1.5:调整单元设置为在已补偿色散达到代价函数最低值所对应已补偿色散的至少2倍时跳出补偿色散估计流程,对不同传输条件下相同残余色散的不同代价函数值取平均,在残余色散为正的区间内避开限制点选择一个合适的大小步长调整门限,在残余色散为负的区间内选择不同传输条件下色散-代价函数值曲线重合度较高的区间作为建表区间,建立适应于不同传输条件下的残余色散-代价函数值查找表。Step 1.5: The adjustment unit is set to jump out of the compensation dispersion estimation process when the compensated dispersion reaches at least 2 times the compensated dispersion corresponding to the lowest value of the cost function, and average the different cost function values of the same residual dispersion under different transmission conditions. In the interval where the dispersion is positive, avoid the limit point and select an appropriate size step to adjust the threshold, and in the interval where the residual dispersion is negative, select the interval with a higher degree of coincidence of the dispersion-cost function value curve under different transmission conditions as the table construction interval. A look-up table of residual dispersion-cost function values suitable for different transmission conditions is established. 其中,残余色散为已知色散与累积补偿色散的差值。Among them, the residual dispersion is the difference between the known dispersion and the accumulated compensation dispersion. 其中,限制点为残余色散与代价函数值呈明显线性关系之前的代价函数值最低点。Among them, the limit point is the lowest point of the cost function value before the residual dispersion and the cost function value have an obvious linear relationship.
7.根据权利要求4所述的一种低速延时采样的估计光纤色散的方法,其特征在于:步骤2中,搜索判断单元与调整单元的估测状态为:搜索判断单元在建立好的色散-代价函数值查找表中搜索计算单元输出的代价函数值,从而判断是否查表完成色散估计、判断是否需要调整色散补偿步长,若代价函数值高于小步长调整门限,则判断色散补偿步长仍为初始大步长,若代价函数若代价函数值小于所设定的小步长调整门限,则判断需调整色散补偿步长至小步长,若代价函数值落入查表区间,则将查表得到的残余色散值送入调整单元,并不再进行搜索,调整单元根据搜索判断单元传递的判断结果,调整色散补偿的步长或跳出色散估计流程,若搜索判断单元传递的判断结果为大步长,则调整色散补偿的步长为大步长,若搜索判断单元传递的判断结果为小步长,则调整色散补偿的步长为小步长,若搜索判断单元传递的判断结果为查表后对应的色散,则调整色散补偿的步长为该查表值,并忽略下一次搜索判断单元传递的判断结果,跳出估计流程。7. the method for estimating fiber dispersion of a kind of low-speed delay sampling according to claim 4, is characterized in that: in step 2, the estimated state of search judgment unit and adjustment unit is: search judgment unit is in the established dispersion - Search the cost function value output by the calculation unit in the cost function value lookup table, so as to judge whether the dispersion estimation is completed by looking up the table, and whether the dispersion compensation step size needs to be adjusted. If the cost function value is higher than the small step size adjustment threshold, then the dispersion compensation The step size is still the initial large step size. If the cost function value is less than the set small step size adjustment threshold, it is judged that the dispersion compensation step size needs to be adjusted to a small step size. If the cost function value falls within the look-up table range, Then, the residual dispersion value obtained by looking up the table is sent to the adjustment unit, and no search is performed. The adjustment unit adjusts the step size of dispersion compensation or skips the dispersion estimation process according to the judgment result transmitted by the search judgment unit. If the result is a large step size, the step size for adjusting the dispersion compensation is a large step size. If the judgment result transmitted by the search judgment unit is a small step size, the step size for adjusting the dispersion compensation is a small step size. If the result is the corresponding dispersion after looking up the table, the step size of the dispersion compensation is adjusted to the value of the look-up table, and the judgment result transmitted by the next search judgment unit is ignored, and the estimation process is skipped. 8.根据权利要求4所述的一种低速延时采样的估计光纤色散的方法,其特征在于:步骤3中,色散估计值由公式(5)表征:8. The method for estimating fiber dispersion by low-speed delay sampling according to claim 4, wherein: in step 3, the estimated dispersion value is represented by formula (5): CDest=KL×Slarge+KS×Ssmall+Slookup (5)CD est =K L ×S large +K S ×S small +S lookup (5) 其中,CDest为估计的色散值,Slarge与Ssmall分别代表大步长和小步长,Slookup代表查表所得色散值,为负值。KL和KS分别代表大步长和小步长迭代次数。Among them, CD est is the estimated dispersion value, S large and S small represent the large step size and the small step size, respectively, and S lookup represents the dispersion value obtained by looking up the table, which is a negative value. KL and KS represent the number of iterations for large and small steps, respectively.
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李政颖: "基于色散补偿光纤的高速光纤光栅解调方法", 《物理学报》 *

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