CN108900269A - The Analysis on BER Performance method of the double medium cooperation communication systems of wireless and power line - Google Patents
The Analysis on BER Performance method of the double medium cooperation communication systems of wireless and power line Download PDFInfo
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Abstract
The present invention provides the Analysis on BER Performance methods of the double medium cooperation communication systems of wireless and power line, belong to double medium cooperative communication technology fields.Double medium cooperation communication systems include signal source S, relay node R, destination node D, it is wireless communication link SR between signal source S and relay node R, it is wireless communication link SD between signal source S and destination node D, is power line communications link RD between relay node R and destination node D.This method calculates the bit error rate P of SR first1 BER, then probability density function approximate algorithm based on Moment generating fuction equation calculates the signal-to-noise ratio of SD similar to the distribution parameter after logarithm normal distribution；Then the bit error rate P that SD and RD carries out the cumulative distribution function of the instantaneous output signal-to-noise ratio after selective merging and second jumps is calculated2 BER；Finally combine P1 BERAnd P2 BERTotal bit error rate is obtained, performance evaluation is carried out according to total bit error rate.Present invention reduces computation complexities, can get the optimal distributed parameter of instantaneous signal-to-noise ratio, accurately calculate the bit error rate of system.
Description
Technical field
The present invention relates to double medium cooperation communication system technical fields, and in particular to a kind of double medium associations of wireless and power line
Make the Analysis on BER Performance method of communication system.
Background technique
Power line communication (Power Line Communication, PLC) and wireless communication technique are Distribution Network Communications
Important component is with a wide range of applications in the fields such as intelligent power and household Internet of Things.PLC can be by the electricity deposited
Line of force infrastructure transmits information；Wireless communication has the characteristics that wireless access way flexibly and networking is simple.Wireless communication
Differ from one another with PLC, combined power line and wireless double medium cooperative communication technologies can reallocate resources and optimize complementation, save
Construction cost, lifting system overall performance.
Power line channel decline is modeled as logarithm normal distribution (Log normal, LogN) model by newest research.Nothing
Line communication mainly uses Rayleigh and Nakagami equal distribution.Nakagami model can analog depth decline and shallow decline, in number
It is easily handled, is used widely on；Rayleigh distributed essence belongs to Nakagami special case.
In power line and wireless cooperative relay system, for the system performance point of Nakagami-LogN mixing fade condition
Analysis, there is following main problems：There is no the complexity that closure expression formula, performance calculate is excessively high, crucial for communication theory performance
Analysis on technical excessively relies on Computer Simulation etc..
In view of under Nakagami fade condition, the instantaneous fading energy and signal-to-noise ratio of channel all meet Gamma distribution,
And Gamma distribution and LogN distribution have certain similitude, this patent proposes a kind of for Gamma and LogN distribution function
The calculation method of approximate LogN distribution parameter may be used on the Systems Theory performance of Nakagami- LogN mixing fade condition
In calculating, there is wide application prospect and practical value.
Summary of the invention
The purpose of the present invention is to provide the complexities that one kind can simplify system performance calculating, obtain instantaneous signal-to-noise ratio
Optimal distributed parameter, the mistake of the double medium cooperation communication systems of the wireless and power line of the bit error rate and interruption rate that accurately calculate system
Code rate method for analyzing performance, to solve technical problem present in above-mentioned background technique.
To achieve the goals above, this invention takes following technical solutions：
A kind of Analysis on BER Performance method of the double medium cooperation communication systems of wireless and power line provided by the invention, institute
State double medium cooperation communication systems include signal source S, relay node R, destination node D, the signal source S respectively with the relaying
It is wirelessly communicated between node R and the destination node D, power line communication between the relay node R and the destination node D,
This method comprises the following steps：
Step S110：Calculate the bit error rate P of the Radio Link SR of the signal source S and the relay node R1 BER；
Step S120：PDF approximate algorithm based on Moment generating fuction MGF equation establishes performance function model, and according to institute
It states performance function model and acquires the parameter for being similar to LogN distribution；
Step S130：For the Radio Link SD and its signal-to-noise ratio γ of the signal source S to the destination node DWDAnd institute
State the electric power wired link RD and its signal-to-noise ratio γ of relay node R to the destination node DPLD, obtain the instantaneous output after SC merges
Signal-to-noise ratio γDFCumulative distribution function FDF(λ)；
Step S140：According to the FDFThe Analysis on BER Performance mixed under fade condition is converted into identical LogN by (λ)
Performance evaluation under distribution occasion obtains the second bit error rate P jumped after SC merges2 BER；
Step S140：In conjunction with the bit error rate P1 BERWith the bit error rate P2 BERObtain the total bit error rate of the system
Further, the step S110 includes：
Combining wireless channel fading coefficient and average signal-to-noise ratio can using Moment generating fuction MGF and Gaussian hypergeometric function
Obtain bit error rate P1 BERClosure expression formula be：
Wherein, ΩRIndicate the amplitude of fading variance of Radio Link SR, mRIndicate the fading parameter of Radio Link SR, ΔWTable
Show the average signal-to-noise ratio of wireless communication link,2F1(.,.；.；) indicate that Gaussian hypergeometric function, Γ () indicate gamma function.
Further, the step S120 includes：
Step S121：The MGF equation of Gamma distribution and LogN distribution variable is established respectively：
Known HWDIndicate the fading coefficients of Radio Link SD, thenMeet G (αD,βD), wherein αD=mD,βD=ΩD/
mD；Wherein, ΩDIndicate the amplitude of fading variance of Radio Link SD, mDThe form parameter for indicating the decline of Radio Link SD, is full
Sufficient channel fading normalization, enables ΩD=1；
MGF meetAfter approximationThe variable of distribution
MGF meetWhen i takes 1 and 2 respectively to dependent variable s1And s2。
By G (αD,βD) distributionSimilar toEnable MPl(si)=MD(si) can obtain it is approximate after
MGF equation：
Wherein, wnAnd anRespectively indicate the weight and zero point of Gauss-Hermite formula.
Step S122：MGF equation after the approximation established based on step S121, establishes performance function model, and acquires close
Like the parameter of rear LogN distribution：
With G (αD,βD) distribution andThe minimum target of the otherness of distribution establishes performance function model：
Meet the following conditions：
1)：
2)：
3)：Hj=0.01+0.05* (j-1)；
4)：J=1,2 ... N；
5)：s1>0；
6)：s2>0；
Wherein, HjIndicate the sampled value of wireless channel decline H, N indicates total sampling number of probability density function；
The PDF distribution parameter s can be acquired according to the performance function model1、s2AndSimilar to LogN points
The parameter μ of clothD、σD；
Step S123：According toIncorporating parametric μD、σD, determine γWDSimilar to
Parameter μ afterwardswDWithWherein,μwD=ln (ΔW)+μD。
Further, the step S130 includes：
Known HPLDIndicate the fading coefficients of electric power wired link RD, HPLDMeetEnable γPLDIt indicates
The receiving end electric power wired link RD instantaneous signal-to-noise ratio, according to average signal-to-noise ratio ΔPLAnd the property of lognormal variable, it determinesAlso it will meet logarithm normal distributionAnd
In conjunction with electric power wired link RD output signal-to-noise ratio γPLDWith the output signal-to-noise ratio γ of Radio Link SDWD, obtain SC merging
Instantaneous output signal-to-noise ratio γ afterwardsDFCumulative distribution function FDF(λ)：
FDF(λ)=Pr (γDF< λ)=Pr (γWD< λ)；
Using the complementary Cumulative Distribution Function of standardized normal distribution, also known as Q function, calculating is acquired：
Wherein, λ indicates the interruption thresholding signal-to-noise ratio after SC merging.
Further, the step S140 includes：
To the cumulative distribution function FDF(λ) quadratures, and the Analysis on BER Performance mixed under fade condition is converted into
Performance evaluation under identical LogN distribution occasion, then bit error rate P2 BERFor：
Wherein,Indicate that the pulse number k of electric power wired link RD obeys the Poisson distribution that mean value is A；PN indicates arteries and veins
The maximum number of noise is rushed, and, PN is greater than 20；
The Analysis on BER Performance mixed under fade condition is converted into the performance evaluation under identical LogN distribution occasion, then
Bit error rate P2 BERFor：
Wherein, according to the decline distribution parameter of electric power wired link RDWithAPPROXIMATE DISTRIBUTION
ParameterSolve constant Wt.k、Vt.k、Ut.k。
Further, bit error rate P described in the combination1 BERWith the bit error rate P2 BERObtain the total bit error rate of the systemFor：
Beneficial effect of the present invention：The complexity that system performance calculating can be simplified can obtain best point of instantaneous signal-to-noise ratio
Cloth parameter accurately calculates the bit error rate and interruption rate of system.
The additional aspect of the present invention and advantage will be set forth in part in the description, these will become from the following description
Obviously, or practice through the invention is recognized.
Detailed description of the invention
In order to illustrate the technical solution of the embodiments of the present invention more clearly, required use in being described below to embodiment
Attached drawing be briefly described, it should be apparent that, drawings in the following description are only some embodiments of the invention, for this
For the those of ordinary skill of field, without creative efforts, it can also be obtained according to these attached drawings others
Attached drawing.
Fig. 1 is the architecture diagram of the double medium cooperation communication systems of wireless described in the embodiment of the present invention and power line.
Fig. 2 is to work as Δ described in the embodiment of the present inventionWPDF curve comparison schematic diagram when being 1.
Fig. 3 is to work as Δ described in the embodiment of the present inventionWPDF curve comparison schematic diagram when being 2.
Fig. 4 is outage probability Monte Carlo simulation performance described in the embodiment of the present invention and theoretical performance contrast schematic diagram.
Fig. 5 is bit error rate Monte Carlo simulation performance described in the embodiment of the present invention and theoretical performance contrast schematic diagram.
Specific embodiment
Embodiments of the present invention are described below in detail, the example of the embodiment is shown in the accompanying drawings, wherein from beginning
Same or similar element or module with the same or similar functions are indicated to same or similar label eventually.Below by ginseng
The embodiment for examining attached drawing description is exemplary, and for explaining only the invention, and is not construed as limiting the claims.
Those skilled in the art of the present technique are appreciated that unless expressly stated, singular " one " used herein, " one
It is a ", " described " and "the" may also comprise plural form.It is to be further understood that being arranged used in specification of the invention
Diction " comprising " refer to that there are the feature, integer, step, operation, element and/or modules, but it is not excluded that in the presence of or addition
Other one or more features, integer, step, operation, element, module and/or their group.
It should be noted that in embodiment of the present invention unless specifically defined or limited otherwise, term is " even
Connect ", " fixation " etc. shall be understood in a broad sense, may be a fixed connection, may be a detachable connection, or is integral, can be machine
Tool connection, is also possible to be electrically connected, can be and be directly connected to, be also possible to be indirectly connected with by intermediary, can be two
The interaction relationship of connection or two elements inside element, unless having specific limit.For those skilled in the art
For, the concrete meaning of above-mentioned term in embodiments of the present invention can be understood as the case may be.
Those skilled in the art of the present technique are appreciated that unless otherwise defined, all terms used herein (including technology
Term and scientific term) there is meaning identical with the general understanding of those of ordinary skill in fields of the present invention.Also answer
It should be appreciated that those terms such as defined in the general dictionary should be understood that have in the context of the prior art
The consistent meaning of meaning, and unless defined as here, it will not be explained in an idealized or overly formal meaning.
In order to facilitate understanding of embodiments of the present invention, further by taking specific embodiment as an example below in conjunction with attached drawing to be solved
Explanation is released, and embodiment does not constitute the restriction to the embodiment of the present invention.
Those of ordinary skill in the art are it should be understood that attached drawing is the schematic diagram of one embodiment, the portion in attached drawing
Part or device are not necessarily implemented necessary to the present invention.
Embodiment one
As shown in Figure 1, the embodiment of the present invention one provides a kind of double medium cooperation communication systems of wireless and power line, using double
Three nodes (terminal S, D and relaying R) double bounce relay-model of medium mixing cooperation.It is carried out between mobile terminal S and node R, D
It wirelessly communicates (WIC).Power line (PLC) communication is carried out between node R and D.Wireless channel decline therein meets
Nakagami distribution.
In above system, the first time slot is that S uses transmission power PSSignal X is sent to relay node R and destination node DS；
Second time slot is that R is handled (Hard decision decoding) acquisition relaying signal to received signal, then with power PRSend signal
Give destination node D.
Channel in two time slots is all influenced by the decline of multiplying property and additive noise.The realization merged due to selective SC
Complexity is lower, is suitable for double medium hybrid communication systems, thus terminal D finally uses SC to merge algorithm to the signal received
It merges.
In Fig. 1, S is referred on power equipment or independent intelligence instrument perhaps sensor such as building or household
Middle intelligent electric meter, the wireless sensor node in the transformer room of underground, infrared temperature camera contactless in substation, movement
Formula RFID card reader etc..The corresponding typical case scene of Fig. 1：In order to solve the immovable access of PLC and high band radio wave
Penetration capacity is restricted, decline the problems such as larger, and wireless access is used between intelligence instrument or sensor (S) and gateway D
(S—>R) and PLC- wireless parallel relays (R->D mixing cooperation mode) realizes mobile access and telecommunication.
The wireless signal that first time slot node R and D are received is：
Wherein noise nWRAnd nWDMeet normal distribution N (0, NW)；HWRAnd HWDFor wireless fading channel coefficient, meet Nakagami
Distribution：
Wherein I ∈ { D, R }, mI>=0.5 is Nakagami parameter；Г (x) is gamma function； For the width that declines
The variance of degree is normalized to guarantee that decline does not change the mean power of reception signal and enables ΩIIt is 1.
Enable ΔW=PS/NWIndicate channel average signal-to-noise ratio.Then according to forwarding formula (1) and (2), wireless channel receiving end
Instantaneous signal-to-noise ratio is respectively：
It is knownMeet Gamma distribution G (αI,βI), there is following form：
Wherein G (αI,βI) with two kinds of Nakagami distribution parameters relationships meet αI=mI；βI=ΩI/mI.According to Gamma
The property of distribution works as Δ under the conditions of identical average signal-to-noise ratioWWhen for fixed constant, there is γWI~G (mI,ΔWΩI/
mI)。
Second time slot relay node R first carries out hard decision to the signal received using decoding forwarding DF agreement, then with function
Rate PRIt is transmitted to destination node D.Enable XRIndicate that the signal of relay forwarding, the then signal that receiving end receives are：
Wherein HPLDFor power line fading coefficients satisfaction
Wherein μPLDAnd σPLDRespectively indicate lnHPMean value and mean square deviation.Channel fading envelope energy is normalized, to protect
Card channel fading does not change the mean power of signal, enables,
I.e.
N in formula (7)PLDFor the impulsive noise of power line, using Mid-A impulsive noise model.The model is made an uproar by Gaussian Background
Sound NGWith impulsive noise NIComposition, the probability density function of impulsive noise amplitude Z are:
Wherein Nk=N0(k/A+T)/(1+T) indicates the instantaneous total noise power of power line, T=NG/NIIndicate background
The ratio of noise power and impulse noise power.N0=NG+NIFor average total noise power.In specific sampling instant, Mid-A mould
The impulsive noise of type is formed by stacking by k Gaussian noise, and each noise model is all satisfied N (0, NI/A).Pulse number k obeys equal
Value is the Poisson distribution (e of A-A·Ak)/k！, the maximum number of PN expression impulsive noise, and, PN is greater than 20.
Enable ΔPL=PR/Nk, the instantaneous signal-to-noise ratio of power line receiving end can be expressed as：
Then using after SC, total output signal-to-noise ratio of system is node D：
γDF=max (γPLD,γWD) (11)
The instantaneous mutual information of system is：
Embodiment two
Second embodiment of the present invention provides a kind of Outage probability of distributed antenna analysis sides of double medium cooperative systems as shown in Figure 1
Method.For the outage probability for obtaining system, need to analyze the information rate of each branch.When system information rate R is less than requirement
When minimum speed limit thresholding, the normal communication of system will be interrupted.According to shannon formula, the information rate and signal-to-noise ratio of each branch are straight
Correlation is connect, therefore analyzes the PDF of each branch signal-to-noise ratio first.
The signal-to-noise ratio γ of wireless channelWRAnd γWDMeet Gamma distribution.When receiving end signal-to-noise ratio is right less than thresholding institute is interrupted
The signal-to-noise ratio γ answeredthWhen, interrupted communication link.According to formula (4) and (6), Gamma distribution function is integrated, then SR branch
The outage probability on road is：
Wherein ν (a, b) indicates that incomplete Gamma function, mathematic(al) representation areГ (x)
For gamma function.
Similarly, the outage probability of wireless direct link SD branch is：
The fading coefficients H of known power line channelPLDMeet LogN.According to LogN property, when average signal-to-noise ratio ΔPLIt is normal
When number, then γPLDAlso it will meet logarithm normal distributionAnd
For γPLDMeet LogN distribution, the outage probability of the PLC link can be indicated with Q function：
Mixing decline and impulsive noise can be calculated in the outage probability of each branch in association type (13), (14) and (15)
Under the conditions of, total outage probability of double medium cooperative relay systems：
Embodiment three
The embodiment of the present invention three provides a kind of Analysis on BER Performance method of system as shown in Figure 1.
For the bit error rate for solving DF cooperative relay system, communication system is divided into double bounce：SR link be the 1st jump, RD and
SD parallel communication link is the 2nd jump.If P1 BERFor the bit error rate of SR link (the 1st jumps)； P2 BERFor the 2nd jump parallel communication link into
The bit error rate after row SC merging.
The fading coefficients H of the known 1st SR branch jumpedWRMeet Nakagami distribution, when the average signal-to-noise ratio of the link is
ΔWWhen, to HWDIt quadratures, using MGF and Gaussian hypergeometric function, the bit error rate closure expression formula of wireless SR branch can be obtained：
Wherein,2F1(.,.；.；It) is Gaussian hypergeometric function.
Instantaneous output signal-to-noise ratio γ to obtain the 2nd bit error rate jumped, after needing computing system to merge using SCDFIt is tired
Product distribution function.Because the radio leg and power line tributary signal in the 2nd jump are mutually indepedent, cumulative distribution function is obtained
FDF(λ) is：
FDF(λ)=Pr (γDF< λ)=Pr (γWD< λ) Pr (γPLD< λ) (18)
Obviously, (18) formula is related to the product of (14) formula He (15) formula, to (18) formula FDF(λ), which quadratures, can be obtained the bit error rate
P2 BER：
Under mixing decline, in (18) formula ν (a, b) and the functions such as Г (x) integrate, algorithm complexity is larger,
Therefore, the present embodiment is handled (19) formula using the approximate method of PDF, obtains closure expression formula with expectation.
It, can be by G (α since LogN distribution and Gamma distribution have certain similitudeD,βD) distributionSimilar toAccording to the property that LogN is distributed, signal-to-noise ratio γWDAlso LogN distribution will be obeyed, then it can be by bit error rate performance
Analysis is converted into the performance evaluation problem under identical LogN distribution.
In PDF approximation, generallys use the equal mode of PDF statistical value and solve PDF parameter after approximation.Enable G
(αD,βD) and LogN (μD,σ2 D) mean value and variance it is equal, then have：
After equation transform, the key parameter of LogN can be obtained：
For approximation quality poor problem when carrying out PDF approximation in such a way that mean value and variance are equal.The present embodiment
Three propose a kind of PDF approximate algorithm for being based on Moment generating fuction (Moment GeneratingFunction, MGF) equation, have
Higher precision, and can be used for calculating instantaneous signal-to-noise ratio γWDPDF parameter.
It is knownMeet Gamma distribution G (αD,βD), wherein αD=mD, βD=ΩD/mD, ΩD=1；
MGF meetThe MGF of the variable of distribution is full
Foot
Wherein, HWDIndicate the fading coefficients of Radio Link SD, i=(1,2) then utilizes MGF approximation method by G (αD,βD) point
ClothSimilar toMake MPl(si)=MD(si)：
Wherein, wnAnd anThe weight and zero point of Gauss-Hermite formula are respectively indicated, GN indicates Gauss-Hermite
The weight of formula and the quantity of zero point, generally desirable 5,8 or 12, the numerical value of GN is bigger, Gauss-Hermite approximate calculation
Precision is higher.
As shown in Fig. 2, to work as ΔWH2 when being 1 under difference approximation methodWDPDF curve comparison schematic diagram.It declines in channel
(Ω is fallen under normalizing conditionD=1), for different parameters m and s1、s2Combination, provides H2WDTwo kinds of approximation methods PDF curve
Comparative situation.As shown in Figure 2, compared with PDF statistical value approximation method, although MGF equation approximation method lacks analytical expression, but
It is that can pass through s1And s2It is in optimized selection, and the precision of algorithm is relatively high；Fading parameter mDSmaller, channel fading is more serious,
Therefore MGF equation approximation method is suitable for the lower situation of channel fading degree, works as mD>When 1.5, the probability density of channel is approximate
Effect is relatively good；Work as mD>It, can be by s when 1.51It is set as 3；s2With mDThe increase of value and increased, work as mDWhen=2, s2Take 7；
Work as mDWhen increasing to 2.5, s2Desirable 10；Work as mDWhen=3, s2It takes 15 appropriate.
Example IV
The embodiment of the present invention four provides parameter μ in a kind of reduction embodiment threeDWithThe method of computation complexity, the party
Method is based on the minimum target of PDF curve difference, establishes performance function model.
In order to reduce complexity, by s in the present embodiment1It is set as 3.It, can be with probability density curve difference in practical application
It spends minimum target and has carried out mathematical modeling, solve optimal s1And s2Combination, for wireless fading channel parameter alphaD=mD；βD=ΩD/
mD, using PDF expression formula (6) and (8), with s1And s2For variable, following mathematical model is established：
Meet the following conditions：
1)：
2)：
3)：Hj=0.01+0.05* (j-1)；
4)：J=1,2 ... N；
5)：s1>0；
6)：s2>0；
Wherein HjIndicate the sampled value of wireless channel decline H, N indicates total sampling number (this selected works of probability density function
Take N=100).The mathematical model calculates each decline sampled value H using the goodness of fit of PDF curve as optimization aimiCorresponding two
The difference of a probability density function values square is weighted again.The intelligent optimization algorithms such as genetic algorithm can be used in the mathematical model
To solve.Using the above method, MGF equation approximately best s value can be established, as shown in table 1.
Table 1
Embodiment five
The embodiment of the present invention five provides a kind of PDF progress approximation first normalized to decline, in conjunction with signal-to-noise ratio ΔWMeter
Calculate γWDThe method of equivalent parameters, specific steps are summarized as follows：
1) existThat is ΩDUnder conditions of=1, forDifferent fading parameter mD, close using MGF equation
Seemingly, s1With s2The method of optimum choice calculates G (αD,βD) similar to the parameter μ of LogN distributionDAnd σD；
2) becauseStep 2 need to be according to ΔWDetermine variable γWDSimilar toAfterwards
Key parameter：
σWD 2=σD 2 (24)
μWD=ln (ΔW)+μD (25)
According to above-mentioned calculating step, as shown in figure 3, to work as ΔWγ when being 2, under different approximation methodsWDPDF curve
Contrast schematic diagram.In Fig. 3, mean variance approximation method is compared, the MGF method that the present embodiment uses has preferably approximate effect
Fruit.Obviously can not have to repeat capable of obtaining preferably for computer numerical experiment using MGF approximation method set forth above
PDF propinquity effect.
In the present embodiment four, after PDF approximate processing, the Analysis on BER Performance mixed under fade condition is converted into phase
With the performance evaluation problem under LogN distribution occasion, then the 2nd bit error rate performance jumped is：
Wherein Wt.k、Vt.k、Ut.kConstant and power line channel decline distribution parameterWithIt is close
Like distribution parameterIt is related, meet following relationship：
Yt,k=σL+T2+4(μL+R2k-ln0.5)σL/R3k 2；
T1=0.769；T2=1.527；T3=1.393；
R1k、R2kAnd R3kValue it is as shown in table 2：
Table 2
The bit error rate P that BPSK modulates lower two-hop link then can be calculated according to (17) formula and (26) formula1 BERAnd P2 BER,
Finally mix the total bit error rate of cooperative systemFor：
Simulation comparison experiment
For the accuracy of proof theory formula, Monte Carlo simulation experiment has been carried out using Matlab software.Meng Teka
Lip river emulation mode is also known as statistics curvaturev, is a kind of stochastic simulation and calculation method based on probability and statistical theory, it
Mathematics and engineering problem are approximatively solved using statistical sampling theory, the experiment for being widely applied to the information communications field is tested
In card.The theoretical performance that simulation performance is calculated with numerical value is compared and analyzed first, with guarantee subsequent analysis mixing decline and
The reliability of the factors such as power influence system performance mechanism.
With reference to existing bibliography, for without loss of generality, in emulation and calculating process, if without specified otherwise, Fig. 1 mould
Parameter in type uses following default setting：Power is defined with the variance that noise PDF is distributed, if system total power is 2, PS=1,
PR=1；In order to protrude the influence of channel fading and noise profile to performance, it is assumed that the average signal-to-noise ratio of system channel is SNR,
NW=Nk=1/SNR, i.e. ΔPL=ΔW=Δ；The parameter of impulsive noise：A=0.2, T=0.01, the maximum value of k in theoretical formula
For PN=100.
Using the above parameter setting, MGF is enabled to indicate that Moment generating fuction is approximate, Mean-Var indicates that mean variance is approximate.Fig. 4
The outage probability and bit error rate performance of DF relay system when compared different channels attenuation parameter with Fig. 5.In view of practical application
In, tie link SD is good not as good as the channel condition of near radio link SR, and m is set in emulationDIt is 1, mRValue is greater than 1.Analysis can
Drawn a conclusion：
1) in Fig. 4, since the outage probability formula of derivation is not related to probability density approximation, with the increase of SNR, according to reason
The theoretical performance (theo) of outage probability is calculated by formula and emulation (simu) performance curve relatively coincide, and demonstrates outage probability
The reliability of theoretical formula.In Fig. 4, when one timing of decline index, average signal-to-noise ratio SNR is bigger, and the outage probability of system is smaller.
2) Fig. 5 compared emulation (simu) and notional result (theo) of error rate of system.Although tie link SD is enterprising
The Gamma that gone distribution is approximate with the probability density that LogN is distributed, but under the conditions of high s/n ratio (when SNR is greater than 14dB), reason
It is consistent substantially by performance and simulation performance.
It, can be in conclusion combined power line described in the embodiment of the present invention and wireless double medium cooperative communication technologies
Configuration of superiorities resource saves construction cost, lifting system overall performance.Cooperative system is mixed for double mediums, using being based on
The mixed channel of Nakagami and LogN declines and multidimensional impulsive noise model, establishes system performance analysis frame and using MGF
Equation approximation scheduling algorithm solves the system performance expression formula of closure.It declines for indoor and outdoor wireless universal Nakagami, it is wireless to prop up
Road signal-to-noise ratio has preferable reliability using the approximate conversion of Gamma distribution-LogN distribution, and related conclusions can be double for indoor and outdoor
The application of medium cooperative communication technology provides necessary theories integration.
As seen through the above description of the embodiments, those skilled in the art can be understood that the present invention can
It realizes by means of software and necessary general hardware platform.Based on this understanding, technical solution of the present invention essence
On in other words the part that contributes to existing technology can be embodied in the form of software products, the computer software product
It can store in storage medium, such as ROM/RAM, magnetic disk, CD, including some instructions are used so that a computer equipment
(can be personal computer, server or the network equipment etc.) executes the certain of each embodiment or embodiment of the invention
Method described in part.
The foregoing is only a preferred embodiment of the present invention, but scope of protection of the present invention is not limited thereto,
In the technical scope disclosed by the present invention, any changes or substitutions that can be easily thought of by anyone skilled in the art,
It should be covered by the protection scope of the present invention.Therefore, protection scope of the present invention should be with scope of protection of the claims
Subject to.
Claims (6)
1. a kind of Analysis on BER Performance method of the double medium cooperation communication systems of wireless and power line, double medium cooperations are logical
Letter system include signal source S, relay node R, destination node D, the signal source S respectively with the relay node R and the mesh
Node D between wirelessly communicate, power line communication between the relay node R and the destination node D, which is characterized in that should
Method includes the following steps：
Step S110：Calculate the bit error rate P of the Radio Link SR of the signal source S and the relay node R1 BER；
Step S120：PDF approximate algorithm based on Moment generating fuction MGF equation establishes performance function model, and according to the achievement
Effect function model acquires the parameter for being similar to LogN distribution；
Step S130：For the Radio Link SD and its signal-to-noise ratio γ of the signal source S to the destination node DWDAnd it is described in
After the electric power wired link RD and its signal-to-noise ratio γ of node R to the destination node DPLD, instantaneous defeated after obtaining selection combination SC
Signal-to-noise ratio γ outDFCumulative distribution function FDF(λ)；
Step S140：According to the FDFThe Analysis on BER Performance mixed under fade condition is converted into identical LogN and is distributed by (λ)
Under the conditions of performance evaluation, obtain SC merge after second jump the bit error rate
Step S140：In conjunction with the bit error rate P1 BERWith the bit error rateObtain the total bit error rate of the system
2. the Analysis on BER Performance method of the double medium cooperation communication systems of wireless and power line according to claim 1,
It is characterized in that, the step S110 includes：
Combining wireless channel fading coefficient and average signal-to-noise ratio can must be missed using Moment generating fuction MGF and Gaussian hypergeometric function
Code rate P1 BERClosure expression formula be：
Wherein, ΩRIndicate the amplitude of fading variance of Radio Link SR, mRIndicate the fading parameter of Radio Link SR, ΔWIndicate without
The average signal-to-noise ratio of line communication link,2F1(.,.；.；) indicate that Gaussian hypergeometric function, Γ () indicate gamma function.
3. the Analysis on BER Performance method of the double medium cooperation communication systems of wireless and power line according to claim 2,
It is characterized in that, the step S120 includes：
Step S121：The MGF equation of Gamma distribution and LogN distribution variable is established respectively：
Known HWDIndicate the fading coefficients of Radio Link SD, thenMeet Gamma distribution, with G (αD,βD) indicate, wherein αD=
mD,βD=ΩD/mD；Wherein, ΩDIndicate the amplitude of fading variance of Radio Link SD, mDIndicate the shape of the decline of Radio Link SD
Parameter enables Ω to meet channel fading normalizationD=1；
MGF meetAfter approximationThe MGF of the variable of distribution
MeetWhen i takes 1 and 2 respectively to dependent variable s1And s2；
By G (αD,βD) distributionSimilar toEnable MPl(si)=MD(si) can obtain it is approximate after the side MGF
Journey：
Wherein, wnAnd anThe weight and zero point of Gauss-Hermite formula are respectively indicated, GN indicates Gauss-Hermite formula
The quantity of weight and zero point；
Step S122：MGF equation after the approximation established based on step S121, establishes performance function model, and after acquiring approximation
The parameter of LogN distribution：
With G (αD,βD) distribution andThe minimum target of the otherness of distribution establishes performance function model：
Meet the following conditions：
1)：
2)：
3)：Hj=0.01+0.05* (j-1)；
4)：J=1,2 ... N；
5)：s1>0；
6)：s2>0；
Wherein, HjIndicate the sampled value of wireless channel decline H, N indicates total sampling number of probability density function；
The PDF distribution parameter s can be acquired according to the performance function model1、s2AndSimilar to the ginseng of LogN distribution
Number μD、σD；
Step S123：According toIncorporating parametric μD、σD, determine γWDSimilar toAfterwards
Parameter μwDWithWherein,μwD=ln (ΔW)+μD。
4. the Analysis on BER Performance method of the double medium cooperation communication systems of wireless and power line according to claim 3,
It is characterized in that, the step S130 includes：
Known HPLDIndicate the fading coefficients of electric power wired link RD, HPLDMeetEnable γPLDIndicate electric power
The receiving end wired link RD instantaneous signal-to-noise ratio, according to average signal-to-noise ratio ΔPLAnd the property of lognormal variable, it determinesAlso it will meet logarithm normal distributionAnd
In conjunction with electric power wired link RD output signal-to-noise ratio γPLDWith the output signal-to-noise ratio γ of Radio Link SDWD, after obtaining SC merging
Instantaneous output signal-to-noise ratio γDFCumulative distribution function FDF(λ)：
FDF(λ)=Pr (γDF< λ)=Pr (γWD< λ)；
It is acquired using the calculating of Q function：
Wherein, λ indicates the interruption thresholding signal-to-noise ratio after SC merging.
5. the Analysis on BER Performance method of the double medium cooperation communication systems of wireless and power line according to claim 4,
It is characterized in that, the step S140 includes：
To the cumulative distribution function FDF(λ) quadratures, and the Analysis on BER Performance mixed under fade condition is converted into identical
Performance evaluation under LogN distribution occasion, the then bit error rateFor：
Wherein,Indicate that the pulse number k of electric power wired link RD obeys the Poisson distribution that mean value is A；PN indicates that pulse is made an uproar
The maximum number of sound, and, PN is greater than 20；
The Analysis on BER Performance mixed under fade condition is converted into the performance evaluation under identical LogN distribution occasion, then error code
Rate P2 BERFor：
Wherein, according to the decline distribution parameter of electric power wired link RDWithAPPROXIMATE DISTRIBUTION parameterSolve constant Wt.k、Vt.k、Ut.k。
6. the Analysis on BER Performance method of the double medium cooperation communication systems of wireless and power line according to claim 5,
It is characterized in that：Bit error rate P described in the combination1 BERWith the bit error rateObtain the total bit error rate of the systemFor：
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