CN107231203A - BER analysis methods based on distributed 60GHz indoor communication systems - Google Patents

BER analysis methods based on distributed 60GHz indoor communication systems Download PDF

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CN107231203A
CN107231203A CN201710523185.8A CN201710523185A CN107231203A CN 107231203 A CN107231203 A CN 107231203A CN 201710523185 A CN201710523185 A CN 201710523185A CN 107231203 A CN107231203 A CN 107231203A
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mrow
msub
antenna
distributed
60ghz
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CN107231203B (en
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吴彬彬
严鹏
胡阳
陈亢
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Shanghai Tim Industrial Co Ltd
Shanghai Radio Equipment Research Institute
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Shanghai Tim Industrial Co Ltd
Shanghai Radio Equipment Research Institute
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B17/00Monitoring; Testing
    • H04B17/30Monitoring; Testing of propagation channels
    • H04B17/391Modelling the propagation channel
    • H04B17/3911Fading models or fading generators
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B17/00Monitoring; Testing
    • H04B17/0082Monitoring; Testing using service channels; using auxiliary channels
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B17/00Monitoring; Testing
    • H04B17/30Monitoring; Testing of propagation channels
    • H04B17/309Measuring or estimating channel quality parameters
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/0413MIMO systems

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  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Physics & Mathematics (AREA)
  • Electromagnetism (AREA)
  • Quality & Reliability (AREA)
  • Mobile Radio Communication Systems (AREA)

Abstract

A kind of BER analysis methods based on distributed 60GHz indoor communication systems, are comprised the steps of:S1, using some remote transmission antennas build distributed 60GHz system models;The multipath fading channel in compound channel fading model, the model is constructed according to the distributed 60GHz system models built and obeys Nakagami m distributions, large scale fading channel is made up of path loss and shadow fading two parts;S2, according to compound channel fading model, try to achieve the corresponding cumulative distribution function of every transmitting antenna with reference to the corresponding effective signal-to-noise ratio of every transmitting antenna;S3, using Antenna Selection Algorithem, choose the maximum transmitting antenna of signal to noise ratio to send signal, with reference to the corresponding cumulative distribution function of the transmitting antenna, try to achieve the cumulative distribution function of the corresponding effective signal-to-noise ratio of the transmitting antenna;S4, the cumulative distribution function according to effective signal-to-noise ratio more corresponding than maximum transmitting antenna of making an uproar, utilize the BER formula of accurate M qam modes under additive white Gaussian noise channel, calculate the average BER of distribution 60GHz systems.

Description

BER analysis methods based on distributed 60GHz indoor communication systems
Technical field
The present invention relates to digital communication technology field, and in particular to a kind of based on distributed 60GHz indoor communication systems BER analysis methods.
Background technology
As to the growing of short distance high-speed radiocommunication demand, millimetre-wave attenuator (60GHz) turns into current and ground Study carefully focus.Compared with other short-distance wireless communications, 60GHz frequency range d millimeter waves (mmW) have work bands of the 7GHz without license Width, only needs simple format modulation signal just to provide the high data transfer of the Gbps orders of magnitude.But water and oxygen in air Gas is serious to 60GHz radio wave absorptions, and transmission range is short in free space for millimeter wave, is only suitable for short haul connection.Secondly, 60GHz frequencies are very high, and wavelength is shorter, sensitive to position mobile ad-hoc between transceiver, need to could just using multiaerial system Often work.Distributing antenna system (DAS) uses multi-antenna technology, can effectively reduce transmission power, increase channel capacity, subtract Small transmission error rates and covering communication dead point.As the open architecture of future wireless system, point of millimeter wave frequency band is worked in Cloth antenna system is more and more applied in indoor wireless communication network.
Existing document is studied distributed 60GHz indoor communication systems.Document 1 (travel round, Hu Zongfu etc., 60GHz domestic aerials position optimization and antenna selection strategy [J] communication technologys, 2012,45 (10):1-5.) analyze 60GHz A kind of channel condition number relation of the multiaerial system under different link conditions, it is proposed that day line options based on channel condition number Strategy.Document 2 (60GHz millimeter waves wireless channel parameter and its correlation research [J] in the such as Geng Suiyan, Liu Shengyao, Hong Wei rooms Electric wave science journal, 2015,30 (4):808-813) can be another to predict from a parameter using the correlation properties of channel parameter Individual parameter, the design for 60GHz wireless communication systems provides useful information.The studies above is to Channel Modeling and antenna selecting plan There is provided analysis method, but the performance evaluation to system is the absence of, could not also provide corresponding appraisal procedure.Patent 1 is (distributed Antenna system and spaced antenna signal processing method and device, CN201510834379.0,2015) solve spaced antenna The high technical problem of system cost, provides favourable condition, but high band system is not transmitted for the application of 60GHz frequency ranges Mechanism is designed analysis.Patent 2 (mimo system channel estimation methods and device under a kind of 60GHz indoor scenes, CN201610076606,2016) a kind of channel estimation selection algorithm is proposed, simplify the complexity of original channel estimation methods Degree, but lack to system sending and receiving end design.Patent 3 (remote distributed antenna system, CN201480030493.1,2014) There is provided by the output frequency displacement of one or more Microcells the spaced antenna system of spaced antenna collection is transferred to 60GHz System, the system is only applicable in Microcell, it is impossible to meet a variety of situations.With the development of 60GHz communication systems, existing literature Research contents can not meet actual demand.
The content of the invention
It is an object of the invention to provide BER (bit error rate) analysis side based on distributed 60GHz indoor communication systems Method, approximately closing for average BER is calculated according to the composite channel model of 60GHz indoor communication systems, and using Numerical Integral Formulas Formula expression formula, the BER performances of 60GHz indoor communications antenna systems can be preferably assessed by the closed expression.
In order to achieve the above object, the present invention is achieved through the following technical solutions:
A kind of BER analysis methods based on distributed 60GHz indoor communication systems, it is characterized in that, comprise the steps of:
S1, using some remote transmission antennas build distributed 60GHz system models;According to the distribution built The multipath fading channel that 60GHz system models are constructed in compound channel fading model, the model obeys Nakagami-m distributions, Large scale fading channel is made up of path loss and shadow fading two parts;
S2, according to compound channel fading model, try to achieve every transmitting with reference to the corresponding effective signal-to-noise ratio of every transmitting antenna The corresponding cumulative distribution function of antenna;
S3, using Antenna Selection Algorithem, choose the maximum transmitting antenna of signal to noise ratio to send signal, with reference to the transmitting antenna Corresponding cumulative distribution function, tries to achieve the cumulative distribution function of the corresponding effective signal-to-noise ratio of the transmitting antenna;
S4, the cumulative distribution function according to effective signal-to-noise ratio more corresponding than maximum transmitting antenna of making an uproar, utilize additive white gaussian The BER formula of accurate M-QAM modulation systems under noisy communication channel, calculate the average BER of distribution 60GHz systems.
The above-mentioned BER analysis methods based on distributed 60GHz indoor communication systems, wherein, described step S1 is specific Comprising:
S11, indoors unit build distributed 60GHz system models:
By NtRoot remote transmission antenna RAi(i=1,2 ..., Nt) distributed random placed on diverse location indoors, Every antenna is connected with indoor central processing unit respectively;
Mobile terminal is equipped with NrRoot reception antenna, i-th remote transmission antenna RAiTransmission signal, the reception of mobile terminal Signal is:
Wherein, yi=[Yi(1),....,Yi(Nr)]TFor the receipt signal matrix of mobile terminal, Yi(j) mobile terminal is represented Reception signal (j=1~N of jth root reception antennar), PtFor transmission power, Hi(j) it is i-th remote antenna RAiWith movement eventually Hold the complex channel coefficients of jth root reception antenna;X is i-th remote antenna RAiThe signal and energy normalized of transmission are 1;Make an uproar Sound matrix ziIt is that 0 variance is N to obey average0Multiple Gauss distribution;
The distributed 60GHz system models that S12, basis are built, set up Composite Fading Channels model:
In formula, gi(j) it is i-th remote antenna RAiSmall yardstick rapid fading between mobile terminal jth root reception antenna; SiAnd GiI-th remote antenna RA is represented respectivelyiShadow fading and path loss between mobile terminal.
The above-mentioned BER analysis methods based on distributed 60GHz indoor communication systems, wherein, described step S2 is specific Comprising:
S21, the compound channel fading model according to foundation, obtain i-th remote antenna RAiHaving between mobile terminal Imitate signal to noise ratio:
Wherein, Ωi=PtGiSi/N0;γi(j) be channel vector between i-th transmitting antenna and jth root reception antenna Channel;
S22, using numerical analysis method, obtain the cumulative distribution function of the corresponding effective signal-to-noise ratio of each remote antenna:
Wherein,Represent (a- ηi) rank modified Bessel function, m be Nakagami-m be distributed parameter.
The above-mentioned BER analysis methods based on distributed 60GHz indoor communication systems, wherein, described step S3 is specific Comprising:
S31, using Antenna Selection Technology, choose signal to noise ratio γiMaximum remote antenna sends signal, establishes long-range hair Antennas;
S32, the cumulative distribution function according to the obtained corresponding effective signal-to-noise ratios of each remote antenna of step S22, are obtained most Big signal to noise ratio γmaxThe cumulative distribution function of corresponding remote antenna
The above-mentioned BER analysis methods based on distributed 60GHz indoor communication systems, wherein, described step S4 is specific Comprising:
Selection is with the modulation system that constellation size is M, under additive white Gaussian noise channel, accurate M-QAM modulation The BER formula of mode are:
Wherein, erfc () is complementary error function,It is the coefficient relevant with modulation system, utilizes height This laguerre function, obtains the BER of distributed 60GHz indoor communication systems:
Wherein, xnAnd ωnThe respectively polynomial basic points of N ranks Laguerre and weights.
The present invention has advantages below compared with prior art:According to the composite channel model of 60GHz indoor communication systems, And average BER approximate closed expression is calculated using Numerical Integral Formulas, can preferably it be assessed by the closed expression The BER performances of 60GHz indoor communications antenna systems.
Brief description of the drawings
Fig. 1 is flow chart of the method for the present invention;
Fig. 2 is the distributed 60GHz indoor communications model in embodiments of the invention;
Fig. 3 is the distributed 60GHz indoor communication systems schematic diagram in embodiments of the invention;
Fig. 4 is the average BER of distributed 60GHz indoor communication systems in embodiments of the invention.
Embodiment
Below in conjunction with accompanying drawing, by describing a preferably specific embodiment in detail, the present invention is further elaborated.
As shown in figure 1, the present invention proposes a kind of BER analysis methods based on distributed 60GHz indoor communication systems, wrap Containing following steps:
S1, using some remote transmission antennas build distributed 60GHz system models;According to the distribution built The multipath fading channel that 60GHz system models are constructed in compound channel fading model, the model obeys Nakagami-m distributions, Large scale fading channel is made up of path loss and shadow fading two parts;
S2, according to compound channel fading model, try to achieve every transmitting with reference to the corresponding effective signal-to-noise ratio of every transmitting antenna The corresponding cumulative distribution function of antenna;
S3, using Antenna Selection Algorithem, choose the maximum transmitting antenna of signal to noise ratio to send signal, with reference to the transmitting antenna Corresponding cumulative distribution function, tries to achieve the cumulative distribution function of the corresponding effective signal-to-noise ratio of the transmitting antenna;
S4, the cumulative distribution function according to effective signal-to-noise ratio more corresponding than maximum transmitting antenna of making an uproar, utilize additive white gaussian The BER formula of accurate M-QAM modulation systems under noisy communication channel, calculate the average BER of distribution 60GHz systems.
Described step S1 is specifically included:
S11, as shown in Fig. 2 unit builds distributed 60GHz system models indoors, specifically, the indoor unit is built Mould is the region of a random distribution:
By NtRoot remote transmission antenna RAi(i=1,2 ..., Nt) distributed random placed on diverse location indoors, Every antenna is respectively by before light or coaxial cable is connected with indoor central processing unit;
Mobile terminal is equipped with NrRoot reception antenna, i-th remote transmission antenna RAiTransmission signal, the reception of mobile terminal Signal is:
Wherein, yi=[Yi(1),....,Yi(Nr)]TFor the receipt signal matrix of mobile terminal, Yi(j) mobile terminal is represented Reception signal (j=1~N of jth root reception antennar), PtFor transmission power, Hi(j) it is i-th remote antenna RAiWith movement eventually Hold the complex channel coefficients of jth root reception antenna;X is i-th remote antenna RAiThe signal and energy normalized of transmission are 1;Make an uproar Sound matrix ziEach element (noise between i.e. i-th transmitting antenna and mobile terminal reception antenna) obey average be 0 Variance is N0Multiple Gauss distribution.
The distributed 60GHz system models that S12, basis are built, set up Composite Fading Channels model:
In formula, gi(j) it is i-th remote antenna RAiSmall yardstick rapid fading between mobile terminal jth root reception antenna, Obey Nakagami-m distributions;SiAnd GiI-th remote antenna RA is represented respectivelyiShadow fading and road between mobile terminal Footpath is lost, and its path loss is expressed as:
Wherein, βiRepresent i-th remote antenna RAiPath loss index, d0For the reference distance of Antenna Far Field, diFor I-th remote antenna RAiThe distance between with MT, Antenna Far Field is a reference in path loss model indoors under environment Distance.
Shadow fading is obeyed logarithm and is just distributed very much, and its probability density function is expressed as:
Wherein, σi(dB) it is 10lg (Si) standard deviation, ξ=10/ln 10.Analyzed more than, pass through maximum-ratio combing The output signal-to-noise ratio of mobile terminal reception antenna is obtained afterwardsWherein Ωi=PtGiSi/N0.Output letter Make an uproar than corresponding cumulative distribution function and be:
Wherein m is the parameter μ that Nakagami-m is distributedi=10lg (PtGi/N0).Closed because formula (3) can not be directly obtained Formula solution, logarithm normal distribution can be changed, can reach the purpose for simplifying calculating using Gamma distributions.Gamma is distributed For:
Wherein, ηiFor variance, χiFor average.Using fortran's method, formula (5) can be switched to:
Wherein,μi=ξ [ln χi+ψ(ηi)],Represent (a- ηi) rank modified Bessel function.
Described step S2 is specifically included:
S21, the compound channel fading model according to foundation, obtain i-th remote antenna RAiHaving between mobile terminal Imitate signal to noise ratio:
Wherein, Ωi=PtGiSi/N0;γi(j) be channel vector between i-th transmitting antenna and jth root reception antenna Channel;
S22, using numerical analysis method, obtain the cumulative distribution function of the corresponding effective signal-to-noise ratio of each remote antenna:
Wherein,Represent (a- ηi) rank modified Bessel function, m be Nakagami-m be distributed parameter.
Described step S3 is specifically included:
S31, as shown in figure 3, be distributed 60GHz indoor communication systems transmission principle figure, from being transmitted into shown in figure Reception is the data transfer flow of whole system, and the system transmitting terminal selects channel condition preferable according to the channel information of feedback Antenna transmits signal, i.e., using Antenna Selection Technology, chooses signal to noise ratio γiMaximum remote antenna sends signal, establishes Long-range transmission antenna, to obtain signal to noise ratio maximization, therefore the selection criterion of antenna is:
S32, due to signal to noise ratio γiBetween separate, the corresponding effective letter of each remote antenna obtained according to step S22 Make an uproar than cumulative distribution function, obtain maximum signal to noise ratio γmaxThe cumulative distribution function CDF of corresponding remote antenna:
Described step S4 is specifically included:
There is constellation size to be M for selectionnModulation system, under additive white Gaussian noise (AWGN) channel, accurate M- The BER formula of qam mode are:
Wherein, erfc () is complementary error function,It is the coefficient relevant with modulation system, this implementation BPSK modulation is used in example, thenIt is exactly that BPSK is modulated at corresponding value under Gaussian channel, according to connecing System BER can be expressed as by the cumulative distribution function of collection of letters effective signal-to-noise ratio:
Using Gauss laguerre function, the BER of distributed 60GHz indoor communication systems is obtained:
Wherein, xnAnd ωnThe respectively polynomial basic points of N ranks Laguerre and weights.Formula (7) is substituted into, by formula (14) Be converted to:
Thus, the average BER in distributed 60GHz systems has been obtained, in the design of this method, while considering big chi Degree decline and influence of the multipath fading to system, therefore, the preferable environmental suitability of BER analysis methods that the present invention is provided, Effective computational methods can be provided for the Performance Evaluation of 60GHz indoor heating systems.
The BER proposed by the present invention based on distributed 60GHz indoor communication systems is analyzed using Matlab emulation platforms Method is verified that experimental result fully demonstrates effectiveness of the invention, also embodies advantages of the present invention.
Fig. 4 gives the Performance Evaluation of average BER in distributed 60GHz indoor communication systems.As seen from the figure, with noise Than increase, BER reduces accordingly, and performance is effectively lifted, while when m increases, and also brings performance boost, conclusion with it is existing Research it is theoretical consistent.It can be seen that, BER Calculation Methods for Performance proposed by the present invention, which can be assessed effectively in distributed 60GHz rooms, to be led to The performance of letter system, this fully demonstrates the validity of BER appraisal procedures proposed by the present invention.
Although present disclosure is discussed in detail by above preferred embodiment, but it should be appreciated that above-mentioned Description is not considered as limitation of the present invention.After those skilled in the art have read the above, for the present invention's A variety of modifications and substitutions all will be apparent.Therefore, protection scope of the present invention should be limited to the appended claims.

Claims (5)

1. a kind of BER analysis methods based on distributed 60GHz indoor communication systems, it is characterised in that comprise the steps of:
S1, using some remote transmission antennas build distributed 60GHz system models;According to the distributed 60GHz systems built Multipath fading channel in system Construction of A Model compound channel fading model, the model obeys Nakagami-m distributions, large scale Fading channel is made up of path loss and shadow fading two parts;
S2, according to compound channel fading model, try to achieve every transmitting antenna with reference to the corresponding effective signal-to-noise ratio of every transmitting antenna Corresponding cumulative distribution function;
S3, using Antenna Selection Algorithem, choose the maximum transmitting antenna of signal to noise ratio to send signal, with reference to transmitting antenna correspondence Cumulative distribution function, try to achieve the cumulative distribution function of the corresponding effective signal-to-noise ratio of the transmitting antenna;
S4, the cumulative distribution function according to effective signal-to-noise ratio more corresponding than maximum transmitting antenna of making an uproar, utilize additive white Gaussian noise The BER formula of accurate M-QAM modulation systems under channel, calculate the average BER of distribution 60GHz systems.
2. the BER analysis methods as claimed in claim 1 based on distributed 60GHz indoor communication systems, it is characterised in that institute The step S1 stated is specifically included:
S11, indoors unit build distributed 60GHz system models:
By NtRoot remote transmission antenna RAi(i=1,2 ..., Nt) distributed random placed on diverse location indoors, every Antenna is connected with indoor central processing unit respectively;
Mobile terminal is equipped with NrRoot reception antenna, i-th remote transmission antenna RAiTransmission signal, the reception signal of mobile terminal For:
<mrow> <msub> <mi>y</mi> <mi>i</mi> </msub> <mo>=</mo> <msqrt> <msub> <mi>P</mi> <mi>t</mi> </msub> </msqrt> <msub> <mi>h</mi> <mi>i</mi> </msub> <mi>x</mi> <mo>+</mo> <mi>z</mi> <mo>=</mo> <msqrt> <msub> <mi>P</mi> <mi>t</mi> </msub> </msqrt> <msup> <mrow> <mo>&amp;lsqb;</mo> <msub> <mi>H</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>,</mo> <mo>...</mo> <mo>...</mo> <mo>,</mo> <msub> <mi>H</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>N</mi> <mi>r</mi> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> </mrow> <mi>T</mi> </msup> <mi>x</mi> <mo>+</mo> <msub> <mi>z</mi> <mi>i</mi> </msub> </mrow>
Wherein, yi=[Yi(1),....,Yi(Nr)]TFor the receipt signal matrix of mobile terminal, Yi(j) mobile terminal jth is represented Reception signal (j=1~N of root reception antennar), PtFor transmission power, Hi(j) it is i-th remote antenna RAiAnd mobile terminal The complex channel coefficients of jth root reception antenna;X is i-th remote antenna RAiThe signal and energy normalized of transmission are 1;Noise Matrix ziIt is that 0 variance is N to obey average0Multiple Gauss distribution;
The distributed 60GHz system models that S12, basis are built, set up Composite Fading Channels model:
<mrow> <msub> <mi>H</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>j</mi> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>g</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>j</mi> <mo>)</mo> </mrow> <msqrt> <mrow> <msub> <mi>S</mi> <mi>i</mi> </msub> <msub> <mi>G</mi> <mi>i</mi> </msub> </mrow> </msqrt> </mrow>
In formula, gi(j) it is i-th remote antenna RAiSmall yardstick rapid fading between mobile terminal jth root reception antenna;SiWith GiI-th remote antenna RA is represented respectivelyiShadow fading and path loss between mobile terminal.
3. the BER analysis methods as claimed in claim 2 based on distributed 60GHz indoor communication systems, it is characterised in that institute The step S2 stated is specifically included:
S21, the compound channel fading model according to foundation, obtain i-th remote antenna RAiEffective letter between mobile terminal Make an uproar ratio:
<mrow> <msub> <mi>&amp;gamma;</mi> <mi>i</mi> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mi>N</mi> <mi>r</mi> </mrow> </munderover> <msub> <mi>&amp;gamma;</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>j</mi> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>&amp;Omega;</mi> <mi>i</mi> </msub> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mi>N</mi> <mi>r</mi> </mrow> </munderover> <mo>|</mo> <msub> <mi>g</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>j</mi> <mo>)</mo> </mrow> <msup> <mo>|</mo> <mn>2</mn> </msup> </mrow>
Wherein, Ωi=PtGiSi/N0;γi(j) it is the letter in channel vector between i-th transmitting antenna and jth root reception antenna Road;
S22, using numerical analysis method, obtain the cumulative distribution function of the corresponding effective signal-to-noise ratio of each remote antenna:
<mrow> <msub> <mi>F</mi> <msub> <mi>&amp;gamma;</mi> <mi>i</mi> </msub> </msub> <mrow> <mo>(</mo> <mi>&amp;gamma;</mi> <mo>)</mo> </mrow> <mo>=</mo> <mn>1</mn> <mo>-</mo> <munderover> <mi>&amp;Sigma;</mi> <mrow> <mi>a</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow> <mi>m</mi> <mi>N</mi> <mi>r</mi> <mo>-</mo> <mn>1</mn> </mrow> </munderover> <mfrac> <mrow> <mn>2</mn> <msup> <mrow> <mo>(</mo> <mrow> <mi>m</mi> <mi>&amp;gamma;</mi> </mrow> <mo>)</mo> </mrow> <mfrac> <mrow> <msub> <mi>&amp;eta;</mi> <mi>i</mi> </msub> <mo>+</mo> <mi>a</mi> </mrow> <mn>2</mn> </mfrac> </msup> </mrow> <mrow> <mi>a</mi> <mo>!</mo> <mi>&amp;Gamma;</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;eta;</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <msubsup> <mi>&amp;chi;</mi> <mi>i</mi> <mfrac> <mrow> <msub> <mi>&amp;eta;</mi> <mi>i</mi> </msub> <mo>+</mo> <mi>a</mi> </mrow> <mn>2</mn> </mfrac> </msubsup> </mrow> </mfrac> <msub> <mi>K</mi> <mrow> <mi>a</mi> <mo>-</mo> <msub> <mi>&amp;eta;</mi> <mi>i</mi> </msub> </mrow> </msub> <mrow> <mo>(</mo> <mrow> <mn>2</mn> <msqrt> <mfrac> <mrow> <mi>m</mi> <mi>&amp;gamma;</mi> </mrow> <msub> <mi>&amp;chi;</mi> <mi>i</mi> </msub> </mfrac> </msqrt> </mrow> <mo>)</mo> </mrow> </mrow> 1
Wherein,Represent (a- ηi) rank modified Bessel function, m be Nakagami-m be distributed parameter.
4. the BER analysis methods as claimed in claim 1 based on distributed 60GHz indoor communication systems, it is characterised in that institute The step S3 stated is specifically included:
S31, using Antenna Selection Technology, choose signal to noise ratio γiMaximum remote antenna sends signal, establishes long-range sending day Line;
S32, the cumulative distribution function according to the obtained corresponding effective signal-to-noise ratios of each remote antenna of step S22, obtain maximum letter Make an uproar and compare γmaxThe cumulative distribution function of corresponding remote antenna
<mrow> <msub> <mi>F</mi> <msub> <mi>&amp;gamma;</mi> <mi>max</mi> </msub> </msub> <mrow> <mo>(</mo> <msub> <mi>&amp;gamma;</mi> <mi>max</mi> </msub> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mi>&amp;Pi;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>0</mn> </mrow> <msub> <mi>N</mi> <mi>t</mi> </msub> </munderover> <msub> <mi>F</mi> <msub> <mi>&amp;gamma;</mi> <mi>i</mi> </msub> </msub> <mrow> <mo>(</mo> <msub> <mi>&amp;gamma;</mi> <mi>max</mi> </msub> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mi>&amp;Pi;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>0</mn> </mrow> <msub> <mi>N</mi> <mi>t</mi> </msub> </munderover> <mrow> <mo>&amp;lsqb;</mo> <mrow> <mn>1</mn> <mo>-</mo> <munderover> <mi>&amp;Sigma;</mi> <mrow> <mi>a</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow> <mi>m</mi> <mi>N</mi> <mi>r</mi> <mo>-</mo> <mn>1</mn> </mrow> </munderover> <mfrac> <mrow> <mn>2</mn> <msup> <mrow> <mo>(</mo> <mrow> <msub> <mi>m&amp;gamma;</mi> <mi>max</mi> </msub> </mrow> <mo>)</mo> </mrow> <mfrac> <mrow> <msub> <mi>&amp;eta;</mi> <mi>i</mi> </msub> <mo>+</mo> <mi>a</mi> </mrow> <mn>2</mn> </mfrac> </msup> </mrow> <mrow> <mi>a</mi> <mo>!</mo> <mi>&amp;Gamma;</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;eta;</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <msubsup> <mi>&amp;chi;</mi> <mi>i</mi> <mfrac> <mrow> <msub> <mi>&amp;eta;</mi> <mi>i</mi> </msub> <mo>+</mo> <mi>a</mi> </mrow> <mn>2</mn> </mfrac> </msubsup> </mrow> </mfrac> <msub> <mi>K</mi> <mrow> <mi>a</mi> <mo>-</mo> <msub> <mi>&amp;eta;</mi> <mi>i</mi> </msub> </mrow> </msub> <mrow> <mo>(</mo> <mrow> <mn>2</mn> <msqrt> <mfrac> <mrow> <msub> <mi>m&amp;gamma;</mi> <mi>max</mi> </msub> </mrow> <msub> <mi>&amp;chi;</mi> <mi>i</mi> </msub> </mfrac> </msqrt> </mrow> <mo>)</mo> </mrow> </mrow> <mo>&amp;rsqb;</mo> </mrow> <mo>.</mo> </mrow>
5. the BER analysis methods as claimed in claim 4 based on distributed 60GHz indoor communication systems, it is characterised in that institute The step S4 stated is specifically included:
Selection is with the modulation system that constellation size is M, under additive white Gaussian noise channel, accurate M-QAM modulation systems BER formula be:
Wherein, erfc () is complementary error function,It is the coefficient relevant with modulation system, is drawn using Gauss Lid that function, obtains the BER of distributed 60GHz indoor communication systems:
Wherein, xnAnd ωnThe respectively polynomial basic points of N ranks Laguerre and weights.
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