CN109462435A - Nonlinear effect analysis model and method in a kind of system of optical fiber telecommunications system - Google Patents
Nonlinear effect analysis model and method in a kind of system of optical fiber telecommunications system Download PDFInfo
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- H04B10/00—Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
- H04B10/07—Arrangements for monitoring or testing transmission systems; Arrangements for fault measurement of transmission systems
- H04B10/075—Arrangements for monitoring or testing transmission systems; Arrangements for fault measurement of transmission systems using an in-service signal
- H04B10/079—Arrangements for monitoring or testing transmission systems; Arrangements for fault measurement of transmission systems using an in-service signal using measurements of the data signal
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- H04B10/00—Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
- H04B10/07—Arrangements for monitoring or testing transmission systems; Arrangements for fault measurement of transmission systems
- H04B10/075—Arrangements for monitoring or testing transmission systems; Arrangements for fault measurement of transmission systems using an in-service signal
- H04B10/079—Arrangements for monitoring or testing transmission systems; Arrangements for fault measurement of transmission systems using an in-service signal using measurements of the data signal
- H04B10/0795—Performance monitoring; Measurement of transmission parameters
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B10/00—Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
- H04B10/07—Arrangements for monitoring or testing transmission systems; Arrangements for fault measurement of transmission systems
- H04B10/075—Arrangements for monitoring or testing transmission systems; Arrangements for fault measurement of transmission systems using an in-service signal
- H04B10/079—Arrangements for monitoring or testing transmission systems; Arrangements for fault measurement of transmission systems using an in-service signal using measurements of the data signal
- H04B10/0795—Performance monitoring; Measurement of transmission parameters
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Abstract
The invention discloses nonlinear effect analysis model and methods in a kind of optical fiber telecommunications system, this method comprises: extracting to obtain the parameters of the optical fiber telecommunications system using the network management system of optical fiber telecommunications system；According to the parameter, obtain nonlinear phase shift, nonlinear noise, nonlinear phase noise and nonlinear properties-noise interaction of respective channel in optical fiber telecommunications system, and in summary nonlinear phase shift, nonlinear noise, nonlinear phase noise and nonlinear properties-noise interaction size, analysis obtain influence of the final total nonlinear effect to signal.The present invention utilizes nonlinear effect analysis model, it can be convenient influence of the nonlinear effect to signal in the system of quickly getting, and do not have to carry out Propagation Simulation, can be used for the nonlinear compensation scheme configured, in optimization system, it improves efficiency, reduce costs, while there is very high accuracy.
Description
Technical field
The present invention relates to technical field of optical fiber communication, and in particular to nonlinear effect analyzes mould in a kind of optical fiber telecommunications system
Type and method.
Background technique
With the progress of human society, the communication technology is able to fast development.Wherein, fiber optic communication has signal steady
Determine, various advantages such as small, transmission range is long, capacity height are lost, has become the most important communication technology in countries in the world
One of.
Fibre Optical Communication Technology develops towards the direction of higher message capacity, longer communication distance always, and now limitation letter
Number rate further increases, the further extended principal element of transmission range, is the nonlinear effect in optical fiber；Due to non-linear
The presence of effect, after signal power increases to certain value, the performance of signal can decline instead, and here it is so-called non-linear perfume (or spice)
The agriculture limit, therefore, in order to obtain bigger message capacity, it is necessary to which nonlinear compensation is carried out to signal.
Nonlinear effect in optical fiber is mainly Kerr effect and stimulated scattering, in the DWDM (Dense of mainstream
Wavelength Division Multiplexing, dense wave division multipurpose) in system, Kerr effect is current limitation systematicness
The predominant non-linearity factor of energy, and be expected to compensate by corresponding non-linear compensation method.
Currently, having there is numerous non-linear compensation methods to be applied in communication system, for example number is backwards to transmission algorithm
(DBP, digital backward propagation), pre-distortion method, nonlinear equalization etc., but for different communication
System structure is not quite similar using the effect of different compensation of nonlinear effects modes, is usually all according to communication system therefore
Configuration reach the performance of system by largely emulating or test, selecting suitable nonlinear compensation scheme and optimizing
To best, however, it is desirable to expend a great deal of time.
In view of this, it is desirable to provide a kind of nonlinear effect analysis model of optical fiber telecommunications system utilizes the analysis model
Optimize nonlinear compensation scheme, does not need to carry out Propagation Simulation, can be convenient in the system of quickly getting nonlinear effect to letter
Number influence, to realize configuration, the nonlinear compensation scheme in optimization system.
Summary of the invention
The technical problem to be solved by the present invention is to existing nonlinear compensation scheme, need largely to emulate or test,
The problem of causing the time to waste.
In order to solve the above-mentioned technical problem, the technical scheme adopted by the invention is that a kind of optical fiber telecommunications system it is non-linear
Effect analysis model, comprising:
Parameter acquisition module is extracted to obtain every ginseng of the optical fiber telecommunications system using the network management system of optical fiber telecommunications system
Number；
Nonlinear phase shift computing module, according to the nonlinear phase shift of the gain of parameter optical fiber telecommunications system respective channel；
Nonlinear noise computing module, according to the nonlinear noise of the gain of parameter optical fiber telecommunications system respective channel；
Nonlinear phase noise computing module, according to the non-linear phase of the gain of parameter optical fiber telecommunications system respective channel
Position noise；
Nonlinear properties-noise interaction computing module, according to the gain of parameter optical fiber telecommunications system respective channel
Nonlinear properties-noise interaction；
As a result output module, according to the nonlinear phase shift, nonlinear noise, nonlinear phase noise and non-linear letter
Number-noise interaction, the output signal of optical fiber telecommunications system respective channel is obtained, and then obtain nonlinear effect and believe input
Number influence, the output signal s of the i-th channel of optical fiber telecommunications systemoutiCalculation formula it is as follows:
Wherein, siniFor the input signal of the i-th channel,For the nonlinear phase shift of the i-th channel,For the i-th channel
Nonlinear phase noise, nASEiIt is the white Gaussian noise random sequence generated according to the spontaneous emission noise of the i-th channel, nNLi
It is the white Gaussian noise random sequence generated according to the nonlinear noise of the i-th channel, nNSNIiIt is the non-linear letter according to the i-th channel
Number-noise interaction generate white Gaussian noise random sequence.
In above-mentioned nonlinear effect analysis model, the i-th channel in optical fiber telecommunications system is obtained using following formula
Nonlinear phase shift
Wherein, γiFor the nonlinear fiber coefficient of the i-th channel, PiIt (z) is the signal power of the i-th channel, z is fiber optic communication
The transmission range of system, L1iFor the action length of the nonlinear phase shift of the i-th channel, for 10Gbaud and system below, L1i
It is determined by loss, generally takes 80km, for being higher than the system of 10Gbaud, L1iIt is determined by the dispersion of system:
Wherein, TiFor the pulse width of the i-th channel, DiFor the dispersion values of the i-th channel, Δ λiFor the line width of the i-th channel.
In above-mentioned nonlinear effect analysis model,
The nonlinear noise power P of the i-th channel in optical fiber telecommunications system is obtained using following formulaNLi:
PNLi=Ns 1+εηiPi 3；
Wherein, NsFor total span number of optical fiber telecommunications system, ε is coherence factor, ηiFor the nonlinear noise system of the i-th channel
Number, PiIt (z) is the power of the i-th channel；
ηiIt is obtained using following formula:
Wherein: γiFor the nonlinear factor of the i-th channel, RsiFor the rate of the i-th channel, B is total band of optical fiber telecommunications system
Width, L are the length of optical fiber telecommunications system single span section, and z is the transmission range of optical fiber telecommunications system, β2For the group velocity color of optical fiber
It dissipates, f1、f2For Variable Theorem of Double Integral, the frequency of signal is indicated.
In above-mentioned nonlinear effect analysis model,
According to the parameter, the nonlinear phase noise of the i-th channel in optical fiber telecommunications system is obtained using following formula:
Wherein: arg is to take argument operation, uiFor the signal electric field amplitude of the i-th channel, Δ uXPMiFor the intersection of other channels
Phase-modulation is to the i-th channel bring nonlinear distortion, Δ uXPMiIt is obtained by following formula:
Wherein: z is the transmission range of optical fiber telecommunications system, β2For the group velocity dispersion of optical fiber,For other institutes
There is channel to the equivalent power of the Cross-phase Modulation of the i-th channel,It indicates are as follows:
ukFor the signal electric field amplitude of kth channel, kth channel indicates its in addition to the i-th channel in optical fiber telecommunications system
His channel.
In above-mentioned nonlinear effect analysis model, XPM is a temporal Gaussian random variable, mean value and side
Difference is respectively as follows:
Wherein E [], D [] and cov [], which are respectively indicated, takes mathematic expectaion, and variance and covariance calculates.
In above-mentioned nonlinear effect analysis model,
According to the parameter, nonlinear properties-noise phase of the i-th channel in optical fiber telecommunications system is obtained using following formula
Interaction PNSNIi:
PNSNIi3 η of=ξiPi 2Pni；
Wherein, PNSNIiFor nonlinear noise-signal interaction power of the i-th channel, PiIt (z) is the function of the i-th channel
Rate, PniFor the power of the i-th interchannel noise, ξ is multi-span coefficient, takes 1 in only one span of optical fiber telecommunications system, is had more
ξ is obtained by following formula when span:
NsFor total span number of optical fiber telecommunications system, ε is coherence factor.
The present invention also provides nonlinear effect analysis methods in a kind of system of optical fiber telecommunications system, comprising the following steps:
It extracts to obtain the parameters of the optical fiber telecommunications system using the network management system of optical fiber telecommunications system；
According to the nonlinear phase shift of the gain of parameter optical fiber telecommunications system respective channel；
According to the nonlinear noise of the gain of parameter optical fiber telecommunications system respective channel；
According to the nonlinear phase noise of the gain of parameter optical fiber telecommunications system respective channel；
According to the nonlinear properties of the gain of parameter optical fiber telecommunications system respective channel-noise interaction；
According to the nonlinear phase shift, nonlinear noise, nonlinear phase noise and nonlinear properties-noise phase interaction
With, the output signal of acquisition optical fiber telecommunications system respective channel, and then obtain influence of the nonlinear effect to input signal, optical fiber
The output signal s of i-th channel of communication systemoutiCalculation formula it is as follows:
Wherein, siniFor the input signal of the i-th channel,For the nonlinear phase shift of the i-th channel,For the i-th channel
Nonlinear phase noise, nASEiIt is the white Gaussian noise random sequence generated according to the spontaneous emission noise of the i-th channel, nNLi
It is the white Gaussian noise random sequence generated according to the nonlinear noise of the i-th channel, nNSNIiIt is the non-linear letter according to the i-th channel
Number-noise interaction generate white Gaussian noise random sequence.
In the above-mentioned methods, the nonlinear noise power of the i-th channel in optical fiber telecommunications system is obtained using following formula
PNLi:
PNLi=Ns 1+εηiPi 3；
Wherein, NsFor total span number of optical fiber telecommunications system, ε is coherence factor, ηiFor the nonlinear noise system of the i-th channel
Number, PiIt (z) is the power of the i-th channel；
ηiIt is obtained using following formula:
Wherein: γiFor the nonlinear factor of the i-th channel, RsiFor the rate of the i-th channel, B is total band of optical fiber telecommunications system
Width, L are the length of optical fiber telecommunications system single span section, and z is the transmission range of optical fiber telecommunications system, β2For the group velocity color of optical fiber
It dissipates, f1、f2For Variable Theorem of Double Integral, the frequency of signal is indicated.
In the above-mentioned methods, according to the parameter, the non-thread of the i-th channel in optical fiber telecommunications system is obtained using following formula
Property phase noise:
Wherein: arg is to take argument operation, uiFor the signal electric field amplitude of the i-th channel, Δ uXPMiFor the intersection of other channels
Phase-modulation is to the i-th channel bring nonlinear distortion, Δ uXPMiIt is obtained by following formula:
Wherein: z is the transmission range of optical fiber telecommunications system, β2For the group velocity dispersion of optical fiber,For other institutes
There is channel to the equivalent power of the Cross-phase Modulation of the i-th channel,It indicates are as follows:
ukFor the signal electric field amplitude of kth channel, kth channel indicates its in addition to the i-th channel in optical fiber telecommunications system
His channel.
In the above-mentioned methods, according to the parameter, the non-thread of the i-th channel in optical fiber telecommunications system is obtained using following formula
Property signal-noise interact PNSNIi:
PNSNIi3 η of=ξiPi 2Pni；
Wherein, PNSNIiFor nonlinear noise-signal interaction power of the i-th channel, PiIt (z) is the function of the i-th channel
Rate, PniFor the power of the i-th interchannel noise, ξ is multi-span coefficient, takes 1 in only one span of optical fiber telecommunications system, is had more
ξ is obtained by following formula when span:
NsFor total span number of optical fiber telecommunications system, ε is coherence factor.
Compared with prior art, nonlinear effect analysis model and method in optical fiber telecommunications system provided by the invention, benefit
With nonlinear effect analysis model, can be convenient influence of the nonlinear effect to signal in the system of quickly getting, and do not have into
Row Propagation Simulation can be used for the nonlinear compensation scheme configured, in optimization system.
Wherein, which combines nonlinear phase shift, non-linear makes an uproar when analyzing the nonlinear effect of optical fiber telecommunications system
Sound, nonlinear phase noise and nonlinear properties-noise interaction, coincide, substantially with existing skill with the result of artificial transmission
Art only passes through analysis nonlinear phase shift, nonlinear noise is compared, and accuracy, which has, largely to be improved.
Detailed description of the invention
Fig. 1 is the structural block diagram of nonlinear effect analysis model provided by the invention；
Fig. 2 is used as exemplary optical fiber telecommunications system；
Fig. 3 is the result of optical fiber telecommunications system Propagation Simulation exemplified by Fig. 2 and nonlinear effect analysis mould of the invention
The Comparative result of type.
Specific embodiment
The present invention provides nonlinear effect analysis model and methods in a kind of optical fiber telecommunications system, utilize nonlinear effect
Analysis model can in acquisition system nonlinear effect intensity, combine nonlinear phase shift, nonlinear noise, non-linear phase
Position noise and nonlinear noise-signal interaction, coincide substantially with the result of artificial transmission, therefore, can use the analysis
Model does not need the nonlinear compensation scheme for emulating or test and optimize communication system.With reference to the accompanying drawings of the specification and specifically
Embodiment is described in detail the present invention.
The present invention program, in the case channel configuration of known fiber optic communication system and the feelings of system link allocation plan
Influence of the nonlinear effect to signal in optical fiber telecommunications system is calculated under condition.
Realization principle of the invention is:
By extracting the parameter of optical fiber telecommunications system, the nonlinear phase shift of system, nonlinear phase noise are calculated separately out
Equivalent line width, nonlinear noise power and nonlinear properties-noise interact power, and comprehensive to obtain result above non-linear
Influence of the effect to input signal.
In order to make more clearly explanation and illustration to technical solution of the present invention and implementation, realization introduced below is originally
Several preferred specific embodiments of inventive technique scheme.Obviously, specific embodiment discussed below is only of the invention one
Section Example, instead of all the embodiments.Based on the embodiments of the present invention, those of ordinary skill in the art are not doing
Every other embodiment obtained under the premise of creative work out, shall fall within the protection scope of the present invention.
Specific embodiment 1.
Fig. 1 is the structural block diagram of nonlinear effect analysis model in optical fiber telecommunications system provided by the invention, such as Fig. 1 institute
Show, nonlinear effect analysis model in optical fiber telecommunications system provided by the invention, comprising:
One parameter acquisition module 10, extracts to obtain the optical fiber telecommunications system using the network management system of optical fiber telecommunications system
Parameters；
One nonlinear phase shift computing module 20, the gain of parameter optical fiber for being extracted according to parameter acquisition module 10 are logical
The size of nonlinear phase shift in letter system；
One nonlinear noise computing module 30, the gain of parameter optical fiber for being extracted according to parameter acquisition module 10 are logical
The size of nonlinear noise in letter system；
One nonlinear phase noise computing module 40, the gain of parameter light for being extracted according to parameter acquisition module 10
The size of nonlinear phase noise in fiber communication system；
One nonlinear properties-noise interaction computing module 50, for what is extracted according to parameter acquisition module 10
Nonlinear properties-noise interaction size in gain of parameter optical fiber telecommunications system；
One result output module 60 obtains fiber optic communication for integrating the output of the four NONLINEAR CALCULATION modules in front
The output signal of system, and then obtain influence of the nonlinear effect to input signal.
Wherein, nonlinear noise and nonlinear phase noise are two different nonlinear effects, calculate respective channel
The calculating of the size of nonlinear phase shift, nonlinear noise, nonlinear phase noise and nonlinear properties-noise interaction can be with
Using conventional algorithm, but in specific embodiments of the present invention 2 to 5, the algorithm of oneself is proposed.
An important feature of the invention is, only analyzes nonlinear phase shift with the prior art or analyzes again non-linear
Noise is different, and as a result output module combines the output of the four NONLINEAR CALCULATION modules in front as a result, to substantially increase point
The accuracy of model is analysed, so as to obtain and emulate or test substantially identical result.
As a result output module obtains the output signal s of the i-th channel of optical fiber telecommunications systemoutiCalculation formula it is as follows:
Wherein, siniFor the input signal of the i-th channel；
For the nonlinear phase shift of the i-th channel；
For the nonlinear phase noise of the i-th channel；
nASEiIt is the spontaneous emission noise according to the i-th channel (according to gain, the noise for entering fine optical signal to noise ratio and each amplifier
Coefficient calculating get, belong to the prior art) generate white Gaussian noise random sequence；
nNLiIt is the white Gaussian noise random sequence generated according to the nonlinear noise of the i-th channel；
nNSNIiIt is the white Gaussian noise random sequence generated according to nonlinear properties-noise interaction of the i-th channel.
The i-th channel indicates any one channel in optical communication system in text.
Nonlinear effect analysis model provided by the invention can use parameter acquisition module 10 from optical fiber telecommunications system
Network management layer extracts or manually directly inputs the parameters of system, and the case channel configuration including system is (such as respective channel
Wavelength, power, modulation format and modulation rate enter fine optical signal to noise ratio etc.), link configuration situation (such as total transmission distance of system
From length, the type of each span optical fiber, gain, the noise coefficient etc. of each span amplifier).Nonlinear phase shift computing module 20,
Nonlinear noise computing module 30, nonlinear phase noise computing module 40 and nonlinear properties-noise interaction calculate mould
Block 50 is utilized respectively corresponding formula, calculates the equivalent line width of nonlinear phase shift, nonlinear phase noise, nonlinear noise power
With nonlinear properties-noise interaction power, final result output module 60 integrates the NONLINEAR CALCULATION module of front four
Output obtains influence of the final total nonlinear effect to signal.
Fig. 2 is the communication system unification that nonlinear effect analysis is carried out using nonlinear effect analysis model provided by the invention
A specific embodiment.It should be noted that the invention can be adapted for each optical fiber communication systems, two-way Raman amplifiction here
Overlength span system be used only as example, do not show that the invention can be only used in such system.
As shown in Fig. 2, the specific embodiment includes: 2 semiconductor lasers, 1 modulator, 2 Erbium-doped fiber amplifiers
Device, 2 Raman pump lasers, 1 optical band pass filter, 1 coherent receiver, 1 digital signal processing module.System
Parameter is as shown in the table:
The parameter of the overlength span system of the two-way Raman amplifiction of table 1
The network management system of the optical fiber telecommunications system of parameter acquisition module 10 is extracted after obtaining above-mentioned parameters, non-linear phase
Move computing module 20, nonlinear noise computing module 30, nonlinear phase noise computing module 40 and nonlinear properties-noise phase
Interaction computing module is calculated from the formula the equivalent line width of nonlinear phase shift, nonlinear phase noise, nonlinear noise respectively
Power and nonlinear properties-noise interaction power, then input results output module 50, obtains output signal.
In order to compare the accuracy of the nonlinear effect analysis model, final result (signal-to-noise ratio of signal) and passes through
The result that artificial transmission obtains compares, and the result of comparison is as shown in Figure 3, it can be seen that analyzes mould by the nonlinear effect
Result that type obtains and artificial transmission the result is that coincide, illustrate that the accuracy of the nonlinear effect analysis model is enough
's.
Specific embodiment 2.
The specific embodiment of the invention 2 specifically defines calculation formula used by nonlinear phase shift computing module.
The nonlinear phase shift computing module according to the power of communication system respective channel, modulation rate, dispersion values and line width,
The nonlinear phase shift of respective channel is calculated using following formula:
Wherein,For the nonlinear phase shift of the i-th channel, γiFor the nonlinear factor of the optical fiber of the i-th channel, general value
For 1.1W-1·km-1, PiIt (z) is the signal power of the i-th channel, z is the transmission range of optical fiber telecommunications system, L1iFor the i-th channel
Nonlinear phase shift action length, for 10Gbaud and system below, L1iIt is determined by loss, 80km is generally taken, for height
In the system of 10Gbaud, L1iIt is determined by the dispersion of system, and dispersion is bigger, L1iValue it is smaller:
Wherein, TiIt is the inverse of modulation rate, D for the pulse width of the i-th letter channeliFor the dispersion values of the i-th channel, Δ λi
For the line width of the i-th channel.
Specific embodiment 3.
The specific embodiment of the invention 3 specifically defines calculation formula used by nonlinear noise computing module.
The nonlinear noise computing module calculates respective channel using following formula according to the system parameter of optical communication system
Nonlinear noise power:
PNLi=Ns 1+εηiPi 3
Wherein PNLiFor the nonlinear noise power of the i-th channel, NsFor total span number of multi-span optical fiber telecommunications system, ε is
Coherence factor is a constant related with system, can be by being obtained according to some existing transmission data, ηiFor the i-th letter
The nonlinear noise coefficient in road, PiIt (z) is the power of the i-th channel.It should be noted that, although in systems in practice, each span
Fiber lengths may be inconsistent, but too big gap is not had, so can default in multi-span optical fiber telecommunications system
The fiber lengths of each span are the same, equally applicable correlation formulas provided in the present invention,
ηiIt can use following formula acquisition:
Wherein: γiFor the nonlinear factor of the i-th channel, RsiFor the rate of the i-th channel, B is total band of optical fiber telecommunications system
Width, PiIt (z) is the power of the i-th channel, z is the transmission range of optical fiber telecommunications system, and L is the length of optical fiber telecommunications system single span section
Degree, β2For the group velocity dispersion of optical fiber, j is imaginary unit, f1、f2For Variable Theorem of Double Integral, indicate the frequency of signal (due to being
Double integral, so the same frequency uses f in integral operation1、f2Indicate the integration variable of double integral), when actually calculating
The actual frequency f of signal can be used1With the centre frequency f of signal2Difference, with reduce calculate complexity；It should be noted that herein
L and the L that uses of preceding machine1iIt is not the same parameter.
Specific embodiment 4.
The specific embodiment of the invention 4 specifically defines formula used by nonlinear phase noise computing module, and formula is such as
Under:
Wherein: arg is to take argument operation, uiFor the signal electric field amplitude of the i-th channel, Δ uXPMiFor the intersection of other channels
For phase-modulation to the i-th channel bring nonlinear distortion, j is imaginary unit, Δ uXPMiIt is obtained by following formula:
Wherein: z is the transmission range of optical fiber telecommunications system,It is other all channels to the intersection of the i-th channel
The equivalent power of phase-modulation,For the intermediate variable of integral, respectively indicating away from discrete time, T indicates the time of sequence, this
In with so more intermediate variables be because there is triple integral here, the variable of each multiple integral cannot repeat,It can be with table
It is shown as:
ukFor the amplitude of k-th of channel signal electric field, kth channel is indicated in optical fiber telecommunications system in addition to the i-th channel
Other channels.
In practical calculating process, due to the presence of different channels walk-off effect and dispersion, according to central-limit theorem,
This amount of XPM can be approximated to be a temporal Gaussian random variable, and mean value and variance are respectively as follows:
Wherein E [], D [] and cov [], which are respectively indicated, takes mathematic expectaion, and variance and covariance calculates, ujWith ukIt indicates in addition
Any 2 channels different from i-th of channel.
E [], i.e., expression E [XPM], E [| uk|2]；
D [], i.e. expression D [XPM] and D [| uk|2]；
Cov [], i.e. expression cov [| uk|2,|uj|2]。
Using this approximate (XPM is approximately a temporal Gaussian random variable), non-linear phase can be greatly simplified
The computation complexity of position noise, the non-linear phase of system respective channel can be rapidly calculated by some numerical integration methods
The value of position noise.
Specific embodiment 5.
The specific embodiment of the invention 5 specifically defines public affairs used by nonlinear properties-noise interaction computing module
Formula, formula are as follows:
PNSNIi3 η of=ξiPi 2Pni
Wherein: PNSNIiFor nonlinear noise-signal interaction power of the i-th channel, PniFor the i-th interchannel noise
Power, ξ are a multi-span coefficient, take 1 in only one span, are calculated in multi-span by following formula:
Wherein: NsFor total span number of optical fiber telecommunications system, ε is coherence factor, and k is that accumulation calculating is used in calculating process
An intermediate variable.
Nonlinear effect analysis model of the invention can be applicable in straight straightening check system and coherent optical communication system, be also suitable
In different system structures, including the system that multi-span erbium-doped fiber amplifier amplifies, the amplification of multi-span raman amplifier is
System, overlength span system etc., and every nonlinear effect that can comprehensively in analysis system, it is non-linear right to embody
The deterioration of Signal-to-Noise can also embody the deterioration of the non-linear phase to signal.
With reference to the above analysis model, the present invention also provides nonlinear effects in a kind of system of optical fiber telecommunications system to analyze
Method, comprising the following steps:
It extracts to obtain the parameters of the optical fiber telecommunications system using the network management system of optical fiber telecommunications system；
According to the nonlinear phase shift of the gain of parameter optical fiber telecommunications system respective channel；
According to the nonlinear noise of the gain of parameter optical fiber telecommunications system respective channel；
According to the nonlinear phase noise of the gain of parameter optical fiber telecommunications system respective channel；
According to the nonlinear properties of the gain of parameter optical fiber telecommunications system respective channel-noise interaction；
According to the nonlinear phase shift, nonlinear noise, nonlinear phase noise and nonlinear properties-noise phase interaction
With, the output signal of acquisition optical fiber telecommunications system respective channel, and then obtain influence of the nonlinear effect to input signal, optical fiber
The output signal s of i-th channel of communication systemoutiCalculation formula it is as follows:
Wherein, siniFor the input signal of the i-th channel,For the nonlinear phase shift of the i-th channel,For the i-th channel
Nonlinear phase noise, nASEiIt is the white Gaussian noise random sequence generated according to the spontaneous emission noise of the i-th channel, nNLi
It is the white Gaussian noise random sequence generated according to the nonlinear noise of the i-th channel, nNSNIiIt is the non-linear letter according to the i-th channel
Number-noise interaction generate white Gaussian noise random sequence.
In this method, all calculating is all counted with used by nonlinear effect analysis model in above-mentioned optical fiber telecommunications system
Calculation formula is identical, and details are not described herein.
The present invention has the advantages that protrude as follows:
(1) nonlinear effect analysis is carried out to optical communication system using analysis model, it is no longer necessary to which a large amount of emulation is real
It tests, can be quickly obtained as a result, saved the time, improve efficiency, reduce costs.
(2) nonlinear phase shift, nonlinear noise, nonlinear phase noise and nonlinear properties-noise phase interaction are used
With comprehensive analysis is carried out, the accuracy and precision of model is substantially increased.
(3) to nonlinear phase shift, nonlinear noise, nonlinear phase noise and nonlinear properties-noise calculation formula
Corresponding optimization has been carried out, the complexity of calculating has been reduced, improves efficiency.
The invention is not limited to above-mentioned preferred forms, and anyone should learn that is made under the inspiration of the present invention
Structure change, the technical schemes that are same or similar to the present invention are fallen within the scope of protection of the present invention.
Claims (10)
1. a kind of nonlinear effect analysis model of optical fiber telecommunications system characterized by comprising
Parameter acquisition module is extracted to obtain the parameters of the optical fiber telecommunications system using the network management system of optical fiber telecommunications system；
Nonlinear phase shift computing module, according to the nonlinear phase shift of the gain of parameter optical fiber telecommunications system respective channel；
Nonlinear noise computing module, according to the nonlinear noise of the gain of parameter optical fiber telecommunications system respective channel；
Nonlinear phase noise computing module is made an uproar according to the nonlinear phase of the gain of parameter optical fiber telecommunications system respective channel
Sound；
Nonlinear properties-noise interaction computing module, according to the non-of the gain of parameter optical fiber telecommunications system respective channel
Linear signal-noise interaction；
As a result output module is made an uproar according to the nonlinear phase shift, nonlinear noise, nonlinear phase noise and nonlinear properties-
Sound interaction obtains the output signal of optical fiber telecommunications system respective channel, and then obtains nonlinear effect to input signal
It influences, the output signal s of the i-th channel of optical fiber telecommunications systemoutiCalculation formula it is as follows:
Wherein, siniFor the input signal of the i-th channel,For the nonlinear phase shift of the i-th channel,For the non-of the i-th channel
Linear phase noise, nASEiIt is the white Gaussian noise random sequence generated according to the spontaneous emission noise of the i-th channel, nNLiIt is root
According to the white Gaussian noise random sequence that the nonlinear noise of the i-th channel generates, nNSNIiIt is the nonlinear properties-according to the i-th channel
The white Gaussian noise random sequence that noise interaction generates.
2. nonlinear effect analysis model according to claim 1, which is characterized in that it is logical to obtain optical fiber using following formula
The nonlinear phase shift of i-th channel in letter system
Wherein, γiFor the nonlinear fiber coefficient of the i-th channel, PiIt (z) is the signal power of the i-th channel, z is optical fiber telecommunications system
Transmission range, L1iFor the action length of the nonlinear phase shift of the i-th channel, for 10Gbaud and system below, L1iBy damaging
Consumption determines, generally takes 80km, for being higher than the system of 10Gbaud, L1iIt is determined by the dispersion of system:
Wherein, TiFor the pulse width of the i-th channel, DiFor the dispersion values of the i-th channel, Δ λiFor the line width of the i-th channel.
3. nonlinear effect analysis model according to claim 1, which is characterized in that it is logical to obtain optical fiber using following formula
The nonlinear noise power P of i-th channel in letter systemNLi:
PNLi=Ns 1+εηiPi 3；
Wherein, NsFor total span number of optical fiber telecommunications system, ε is coherence factor, ηiFor the nonlinear noise coefficient of the i-th channel, Pi
It (z) is the power of the i-th channel；
ηiIt is obtained using following formula:
Wherein: γiFor the nonlinear factor of the i-th channel, RsiFor the rate of the i-th channel, B is the total bandwidth of optical fiber telecommunications system, L
For the length of optical fiber telecommunications system single span section, z is the transmission range of optical fiber telecommunications system, β2For the group velocity dispersion of optical fiber, f1、
f2For Variable Theorem of Double Integral, the frequency of signal is indicated.
4. nonlinear effect analysis model according to claim 1, which is characterized in that according to the parameter, utilization is following
Formula obtains the nonlinear phase noise of the i-th channel in optical fiber telecommunications system:
Wherein: arg is to take argument operation, uiFor the signal electric field amplitude of the i-th channel, Δ uXPMiFor the cross-phase of other channels
Modulation is to the i-th channel bring nonlinear distortion, Δ uXPMiIt is obtained by following formula:
Wherein: z is the transmission range of optical fiber telecommunications system, β2For the group velocity dispersion of optical fiber,For other all letters
Road to the equivalent power of the Cross-phase Modulation of the i-th channel,It indicates are as follows:
ukFor the signal electric field amplitude of kth channel, kth channel indicates other letters in optical fiber telecommunications system in addition to the i-th channel
Road.
5. nonlinear effect analysis model according to claim 4, which is characterized in that XPM is a temporal Gauss
Stochastic variable, mean value and variance are respectively as follows:
Wherein E [], D [] and cov [], which are respectively indicated, takes mathematic expectaion, and variance and covariance calculates.
6. nonlinear effect analysis model according to claim 1, which is characterized in that according to the parameter, utilization is following
Formula obtains nonlinear properties-noise interaction P of the i-th channel in optical fiber telecommunications systemNSNIi:
PNSNIi3 η of=ξiPi 2Pni；
Wherein, PNSNIiFor nonlinear noise-signal interaction power of the i-th channel, PiIt (z) is the power of the i-th channel, Pni
For the power of the i-th interchannel noise, ξ is multi-span coefficient, takes 1 in only one span of optical fiber telecommunications system, has multi-span
When ξ obtained by following formula:
NsFor total span number of optical fiber telecommunications system, ε is coherence factor.
7. nonlinear effect analysis method in a kind of system of optical fiber telecommunications system, which comprises the following steps:
It extracts to obtain the parameters of the optical fiber telecommunications system using the network management system of optical fiber telecommunications system；
According to the nonlinear phase shift of the gain of parameter optical fiber telecommunications system respective channel；
According to the nonlinear noise of the gain of parameter optical fiber telecommunications system respective channel；
According to the nonlinear phase noise of the gain of parameter optical fiber telecommunications system respective channel；
According to the nonlinear properties of the gain of parameter optical fiber telecommunications system respective channel-noise interaction；
According to the nonlinear phase shift, nonlinear noise, nonlinear phase noise and nonlinear properties-noise interaction, obtain
The output signal of optical fiber telecommunications system respective channel is obtained, and then obtains influence of the nonlinear effect to input signal, fiber optic communication
The output signal s of i-th channel of systemoutiCalculation formula it is as follows:
Wherein, siniFor the input signal of the i-th channel,For the nonlinear phase shift of the i-th channel,For the non-of the i-th channel
Linear phase noise, nASEiIt is the white Gaussian noise random sequence generated according to the spontaneous emission noise of the i-th channel, nNLiIt is root
According to the white Gaussian noise random sequence that the nonlinear noise of the i-th channel generates, nNSNIiIt is the nonlinear properties-according to the i-th channel
The white Gaussian noise random sequence that noise interaction generates.
8. according to the method described in claim 7, it is characterized by: obtaining the i-th letter in optical fiber telecommunications system using following formula
The nonlinear noise power P in roadNLi:
PNLi=Ns 1+εηiPi 3
Wherein, NsFor total span number of optical fiber telecommunications system, ε is coherence factor, ηiFor the nonlinear noise coefficient of the i-th channel, Pi
It (z) is the power of the i-th channel；
ηiIt is obtained using following formula:
Wherein: γiFor the nonlinear factor of the i-th channel, RsiFor the rate of the i-th channel, B is the total bandwidth of optical fiber telecommunications system, L
For the length of optical fiber telecommunications system single span section, z is the transmission range of optical fiber telecommunications system, β2For the group velocity dispersion of optical fiber, f1、
f2For Variable Theorem of Double Integral, the frequency of signal is indicated.
9. according to the method described in claim 7, it is characterized by: it is logical to obtain optical fiber using following formula according to the parameter
The nonlinear phase noise of i-th channel in letter system:
Wherein: arg is to take argument operation, uiFor the signal electric field amplitude of the i-th channel, Δ uXPMiFor the cross-phase of other channels
Modulation is to the i-th channel bring nonlinear distortion, Δ uXPMiIt is obtained by following formula:
Wherein: z is the transmission range of optical fiber telecommunications system, β2For the group velocity dispersion of optical fiber,For other all letters
Road to the equivalent power of the Cross-phase Modulation of the i-th channel,It indicates are as follows:
ukFor the signal electric field amplitude of kth channel, kth channel indicates other letters in optical fiber telecommunications system in addition to the i-th channel
Road.
10. according to the method described in claim 7, it is characterized by:, according to the parameter, utilization is following according to the parameter
Formula obtains nonlinear properties-noise interaction P of the i-th channel in optical fiber telecommunications systemNSNIi:
PNSNIi3 η of=ξiPi 2Pni；
Wherein, PNSNIiFor nonlinear noise-signal interaction power of the i-th channel, PiIt (z) is the power of the i-th channel, Pni
For the power of the i-th interchannel noise, ξ is multi-span coefficient, takes 1 in only one span of optical fiber telecommunications system, has multi-span
When ξ obtained by following formula:
NsFor total span number of optical fiber telecommunications system, ε is coherence factor.
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