CN111988789A - Wireless network node deployment optimization method, system and device - Google Patents

Wireless network node deployment optimization method, system and device Download PDF

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CN111988789A
CN111988789A CN202010873933.7A CN202010873933A CN111988789A CN 111988789 A CN111988789 A CN 111988789A CN 202010873933 A CN202010873933 A CN 202010873933A CN 111988789 A CN111988789 A CN 111988789A
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transmitter
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CN111988789B (en
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侯俊
张阳
赵祥模
谢莹
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Changan University
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W16/00Network planning, e.g. coverage or traffic planning tools; Network deployment, e.g. resource partitioning or cells structures
    • H04W16/18Network planning tools
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W16/00Network planning, e.g. coverage or traffic planning tools; Network deployment, e.g. resource partitioning or cells structures
    • H04W16/22Traffic simulation tools or models
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W4/00Services specially adapted for wireless communication networks; Facilities therefor
    • H04W4/80Services using short range communication, e.g. near-field communication [NFC], radio-frequency identification [RFID] or low energy communication
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02DCLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00Reducing energy consumption in communication networks
    • Y02D30/70Reducing energy consumption in communication networks in wireless communication networks

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Abstract

The invention discloses a method, a system and a device for optimizing wireless network node deployment, wherein the method specifically comprises the following steps: the method comprises the steps of establishing a D2D node distribution model in a limited wireless network based on a binomial point process, deploying millimeter waves in the limited wireless network on the basis, setting a D2D antenna model, establishing a general model of blocking, channel distribution and path fading, deducing an SINR distribution model and distance distribution from a target receiver to a transmitter in a line-of-sight range based on the D2D node distribution model and the general model, completing Laplace transform deduction of interference power based on the distance distribution and the characteristics of the binomial point process, and finally obtaining an accurate coverage probability expression at the target receiver by utilizing the Laplace transform of the distance distribution and the interference power according to a coverage probability definition formula. The invention discovers that the method can accurately describe the coverage probability in the limited wireless network through the numerical simulation result.

Description

Wireless network node deployment optimization method, system and device
Technical Field
The invention belongs to the technical field of wireless communication networks, and particularly relates to a method, a system and a device for optimizing wireless network node deployment.
Background
With the rapid development of mobile internet devices and digital multimedia, the mobile data traffic is rapidly increasing, and the available spectrum resources in the microwave band do not seem to meet the requirements of future mobile communication, so people have a great interest in the research of new frequency bands, and the millimeter wave band is considered as an important component of the fifth generation (5G) cellular network due to the large amount of available spectrum resources. Compared with the existing microwave communication, the millimeter wave communication has the following characteristics: (1) small wavelength, which facilitates deployment of large antenna arrays on transceivers to increase array gain; (2) millimeter wave signals are sensitive to blocking effects and suffer greater penetration losses through obstacles than carriers below 6GHz, which are a necessary consideration in analyzing millimeter wave communications. Another possible solution to improve network capacity is to enable device-to-device (D2D) communication in a cellular network. D2D communication allows file transfers between close range devices, saving transfer power and network resources.
Stochastic geometry theory is used to study millimeter wave communication with D2D, and the homogeneous poisson process is often used to model large-scale stochastic networks due to its simplicity and ease of processing, but it cannot be used to model a finite network for a given number of nodes. With the popularization of millimeter wave communication, it may become a mainstream demand to construct a D2D network in a limited area in a cellular network, and in such a case, the homogeneous poisson point process has many disadvantages.
Disclosure of Invention
In order to solve the problems in the prior art, the invention provides a method, a system and a device for optimizing wireless network node deployment, which are based on a random geometry method, consider a service node as a part of a point process, popularize the position of a service transmitter to any position, accurately describe distance distribution and can accurately describe coverage probability in a limited wireless network.
In order to achieve the purpose, the invention adopts the technical scheme that: a wireless network node deployment optimization method based on a binomial point process comprises the following steps:
s1, establishing a distribution model of the D2D nodes in an analysis area of the limited wireless network by using a uniform binomial point process;
s2, on the basis of the D2D node distribution model, deploying millimeter waves in an analysis area in the limited wireless network in S1, setting an antenna model of D2D equipment, and establishing a general model of blocking, channel distribution and path fading;
s3, based on the D2D node distribution model of S1 and the general model of the blockage, channel distribution and path fading obtained in S2, deducing an SINR distribution model and the distance distribution from the D2D target receiver to the transmitter in the line-of-sight range;
s4, obtaining Laplace transform of interference power at the D2D target receiver based on the distance distribution obtained in S3 and the characteristic of binomial point process;
and S5, combining the distance distribution obtained in S3 and the Laplace transform distribution of the interference power obtained in S4 to derive the coverage probability at the target receiver according to the coverage probability definition.
In S1, an analysis area of a limited wireless network is determined, D2D devices in the analysis area are independently and uniformly distributed in the area according to a uniform binomial point process, one half of the devices in the analysis area are set as transmitters, the other half of the devices are set as receivers, each receiver corresponds to one transmitter as a service device, and all the transmitters in the analysis area are in a transmission state at the same time; and acquiring the positions of a target receiver and the center of the analysis area, and then acquiring the distance between the target receiver and the center of the analysis area and the distance between the target receiver and the transmitter.
In S2, according to the propagation characteristics of millimeter waves, the D2D device is set to obtain beamforming gain by using an array antenna, a sector antenna is used to approximate an actual antenna, so as to obtain directional gain of a link, a link between a target transmitter and a receiver is set to obtain perfect directional gain, and an interfering link generates random directional gain, so as to obtain four possible directional gain results and corresponding probabilities.
In S2, a line of sight (LOS) sphere model is used to model the blocking effect, and the target receiver is defined to be located in the center of the LOS area when the target receiver and the transmitter are locatedWhen the distance is less than or equal to the radius of the LOS area, the probability that the link between the target receiver and the transmitter is LOS is 1, when the distance between the target receiver and the transmitter is greater than or equal to the radius of the LOS area, the probability that the link between the target receiver and the transmitter is LOS is 0, the target receiver randomly selects one transmitter as a service transmitter in the LOS area, the rest transmitters are interference transmitters, and the path LOSs function l(s) of the LOS link is obtainedAnd the channel gain of the LOS link, s denotes the distance between the receiver and the transmitter, and α is a path LOSs parameter.
In S3, based on the D2D node distribution model obtained in S1 and the general model in S2, an SINR distribution model can be obtained as
Figure BDA0002652020580000031
The numerator part represents the received power at the target receiver, and the denominator part represents the interference and noise influence on the signal transmission process; interference power
Figure BDA0002652020580000032
From transmitters other than the serving transmitter in the LOS region of the target receiver;
the probability density function of the distance is:
Figure BDA0002652020580000033
the serving transmitter and the interfering transmitter of the target receiver are both randomly selected in the LOS region, and the probability density functions of the serving distance and the interfering distance both satisfy the derivation, so the conditional probability density functions of the serving distance and the interfering distance are fR(r|v0)=fS(r|v0) And fW(w|v0)=fS(w|v0) And v is0Has a probability density function of
Figure BDA0002652020580000034
0≤v0≤R。
In S4, a Laplace transform of interference power is calculated based on the interference distance distribution and the characteristic of the binomial point process,
when v is more than or equal to 00≤R-RBThe laplace transform of the interference power is:
Figure BDA0002652020580000041
when R-RB<v0When R is less than or equal to R, the Laplace of the interference power is converted into:
Figure BDA0002652020580000042
wherein,
Figure BDA0002652020580000043
in S5, the coverage probability is defined as PcP { SINR > T }, which represents the probability that the signal to interference plus noise ratio SINR at the receiver is greater than the threshold T, and the coverage probability expression is:
Figure BDA0002652020580000045
wherein the probability P [ SINR > T]The derivation of (c) is as follows:
combining interference power Laplace transform with coverage probability definitional formula, service distance distribution, v0The exact solution to the coverage probability is obtained as:
Figure BDA0002652020580000044
the device comprises a distribution model building module of a D2D node, a general model building module for blocking, channel distribution and path fading, an SINR distribution model obtaining module, a distance distribution calculating module, a Laplace transform module and a coverage probability calculating module;
the distribution model building module of the D2D node is used for building a distribution model of the D2D node in a limited wireless network by using a uniform binomial point process;
the general model building module for blocking, channel distribution and path fading is used for deploying millimeter waves in the limited wireless network S1 on the basis of a D2D node distribution model, setting an antenna model of D2D equipment and building a general model for blocking, channel distribution and path fading;
the SINR distribution model acquisition module derives an SINR distribution model based on the D2D node distribution model and the general models of blockage, channel distribution and path fading
A distance distribution calculation module derives a distance distribution of a D2D target receiver to transmitters in a line of sight range based on the D2D node distribution model and the common models of congestion, channel distribution, and path fading;
the Laplace transform module deduces Laplace transform of interference power at the D2D target receiver according to the distance distribution and the binomial point process characteristics;
the coverage probability calculation module combines the distance distribution and the Laplace transform distribution of the interference power to derive a coverage probability at a target receiver based on a coverage probability definitional formula.
A computer arrangement comprising a memory, a processor and a computer program stored in said memory and executable on said processor, said processor implementing the steps of the radio network node deployment optimization method of the invention when executing said computer program.
A computer-readable storage medium, in which a computer program is stored which, when being executed by a processor, carries out the steps of the radio network node deployment optimization method of the invention.
Compared with the prior art, the invention has at least the following beneficial effects:
the invention is based on a random geometry method, utilizes a binomial point process to model the D2D position in a wired wireless network, considers a service node as a part of the point process, populates the position of a service transmitter to any position, accurately describes distance distribution, and deploys millimeter waves into a network model, which is more close to an actual communication scene, can accurately describe the coverage probability in a limited wireless network, and has important significance for the research of a future heterogeneous cellular network.
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FIG. 1 is a block diagram of an implementation flow of the present invention.
FIG. 2 is a node distribution diagram for modeling a finite area D2D millimeter wave network based on a binomial point process in accordance with the present invention.
Fig. 3 is a graph of the effect of the total number of devices of the present invention on the probability of coverage.
Fig. 4 is a diagram showing the effect of the antenna parameters of the present invention on the coverage probability.
Detailed Description
Firstly, a distribution model of D2D nodes is established in a limited wireless network by using a binomial point process of a random geometric theory, millimeter waves are deployed in the limited wireless network on the basis, an antenna model of D2D equipment is set, a general model of blocking, channel distribution and path fading is established, then a signal to interference plus noise ratio (SINR) distribution model and distance distribution from a target receiver to a transmitter in a line-of-sight range are deduced based on the D2D node distribution model and the general model, then the Laplace transform derivation of interference power is completed based on the distance distribution and the characteristics of the binomial point process, and finally, a coverage probability accurate expression at the target receiver can be obtained by using the Laplace transform of the distance distribution and the interference power according to a coverage probability definition formula.
Referring to the flow chart 1, the specific implementation steps of the invention are as follows:
(1) adopting a circular limited area b (0, R) with the radius of R as an analysis area of the limited wireless network, and independently and uniformly distributing D2D equipment in the analysis area according to a uniform binomial point process, wherein the position of each equipment in the analysis area is expressed as y, and y belongs to R2The probability density function is
Figure BDA0002652020580000061
If the total number of the devices in the analysis area is N, half is a transmitter and the other half is a receiver, and each receiver has one transmitter as a service deviceAll transmitters in the set area are in a transmitting state at the same time, and the transmitting power of each transmitter is Pd. The target receiver is positioned at the origin, and the center of the analysis area is positioned on the x-axis x0A distance v between the target receiver and the center of the analysis area0=||x0||∈[0,R]The distance variable from the transmitter can be expressed as s | | | x0+ y | |, at v0=||x0Under the condition of | l, all distance variables are independent.
(2) Based on a D2D node distribution model, millimeter wave signals are deployed in a wired wireless network, an antenna model of D2D equipment is set, and a general model of blocking, channel distribution and path fading is established.
According to the propagation characteristics of millimeter waves, the D2D equipment is set to adopt an array antenna to obtain beam forming gain, a sector antenna is used for approximating an actual antenna, further the directional gain of a link is obtained, and the link between a target receiver and a service transmitter of the target receiver is set to obtain perfect directional gain D0=MtMrWherein M ist、MrRepresenting the main lobe gain of the transmitter and receiver sector antennas, respectively, while the interfering link produces a random directional gain DlIncluding four possible directional gain results akCorresponding probability bkK is ∈ {1,2,3,4}, as shown in the following table;
Figure BDA0002652020580000071
wherein m ist、mrIndicating the side lobe gain, theta, of the transmitter and receiver sector antennas, respectivelyt、θrRepresenting the main lobe beamwidth of the transmitter and receiver sector antennas, respectively.
The blocking effect in the system model is modeled by adopting a line of sight (LOS) sphere model, and the target receiver is defined to be positioned in the center of an LOS area which can be expressed as B (0, R)B) The radius of the region is RBAnd s represents the distance between the target receiver and the transmitter, when 0 < s < RBTime, goalThe probability that the link between the receiver and the transmitter is LOS is equal to 1, when s ≧ RBThe probability that the link is LOS equals 0. Path LOSs function of LOS link(s) sThe path loss parameter is α. And considering the propagation characteristics of millimeter waves, assuming that each link is affected by Nakagami fading, the channel gain of the link is expressed as | h2,|h|2Is a normalized gamma random variable with parameter NL.
(3) Based on the D2D node distribution model and the general model proposed in step (2), the SINR distribution model can be obtained as
Figure BDA0002652020580000072
The numerator part represents the received power at the target receiver, | h0|2Channel gain for the serving link, rTo service link path loss, r | | | x0+y0I is the distance between the target receiver and its serving transmitter, y0Is the position of the service transmitter in the analysis area, the denominator part represents the interference and noise influence on the signal transmission process, and the interference power
Figure BDA0002652020580000081
From transmitters other than the serving transmitter within the line of sight of the target receiver,
Figure BDA0002652020580000082
for a collection of transmitters within the analysis area,
Figure BDA0002652020580000083
and
Figure BDA0002652020580000084
channel gain and directional gain of the interfering link, respectively, and | | x0+y||To interfere with link path loss, in addition, the system model considers an interference limited situation, let σ 20. And the distance variable s | | | x0The probability density function of + y | and the distance v between the target receiver and the center of the analysis area0When v is not more than 00≤R-RBThe LOS area of the target receiver is entirely contained within the analysis area, and the distance between the target receiver and the transmitter within the line-of-sight range is 0 to RBWith the distance variable s at v0=||x0The Cumulative Distribution Function (CDF) under the condition of | | is
Figure BDA0002652020580000085
The derivative of the variable s yields a Probability Density Function (PDF) of the distance variable as
Figure BDA0002652020580000086
0<s<RB(ii) a When R-RB<v0When R is less than or equal to R, only part of LOS area of the target receiver is positioned in the analysis area, and the part is a circle
Figure BDA00026520205800000814
And (x-v)0)2+y2=R2The abscissa of the intersection point of the two circles is
Figure BDA0002652020580000087
The area of the part is:
Figure BDA0002652020580000088
order to
Figure BDA0002652020580000089
Figure BDA00026520205800000810
Wherein,
Figure BDA00026520205800000811
at this time, the distance length between the transmitter and the target receiver can be divided into two parts: a) s is more than 0 and less than or equal to R-v0Distance changeThe amount of CDF is
Figure BDA00026520205800000812
The variable s is derived to obtain the PDF of the distance variable as
Figure BDA00026520205800000813
b)R-v0<s<RBThe similar calculation method of the intersection area of the analysis area and the LOS area is adopted to obtain the CDF of the distance variable as
Figure BDA0002652020580000091
Then the variable s is derived to obtain the conditional PDF of the distance variable as
Figure BDA0002652020580000092
Thus, the probability density function of the distance is
Figure BDA0002652020580000093
The service transmitter and the interference transmitter of the target receiver are randomly selected in the LOS area, and the probability density functions of the service distance and the interference distance meet the derivation, so that the conditional PDFs of the service distance and the interference distance are f respectivelyR(r|v0)=fS(r|v0) And fW(w\v0)=fS(w|v0) And v is0Has a probability density function of
Figure BDA0002652020580000094
0≤v0≤R。
(4) And (4) deducing the Laplace transform of the interference power in the system by using the interference distance distribution in the step (3) and the characteristics of the binomial point process, as follows:
Figure BDA0002652020580000095
by calculation of
Figure BDA0002652020580000096
Is obtained after the moment function
Figure BDA0002652020580000097
The mean value of the number of the interference transmitters in the LOS area of the target receiver and the distribution of the interference distances are all equal to v0Is related to the value of, so according to v0And respectively deducing Laplace transform of interference power in different value ranges.
When v is more than or equal to 00≤R-RBTime-of-flight laplace transform of interference power
Figure BDA0002652020580000101
Wherein,
Figure BDA0002652020580000102
and
Figure BDA0002652020580000103
indicating the probability of the transmitter being located within and outside the LOS region, respectively.
When R-RB<v0Laplace transform of interference power at R or less
Figure BDA0002652020580000104
Wherein,
Figure BDA0002652020580000105
indicating the probability of the transmitter being located within the LOS region and, correspondingly, 1-beta indicating the probability of the transmitter being located outside the LOS region.
(5) Coverage probability is defined as PcP { SINR > T }, which represents the probability that the signal to interference noise ratio (SINR) at the receiver is greater than a threshold T, the system modeThe type coverage probability expression is:
Figure BDA00026520205800001010
wherein the probability P [ SINR > T]The derivation of (c) is as follows:
Figure BDA0002652020580000106
based on | h |2Is a condition for normalizing the random variable of gamma, consisting of
Figure BDA0002652020580000107
Figure BDA0002652020580000108
Can obtain
Figure BDA0002652020580000109
Due to NLIs an integer, obtained using the binomial theorem
Figure BDA0002652020580000111
Substituting the Laplace transform of the interference power into the above formula to combine the service distance distribution, v0The probability density function of the coverage can be obtained as an accurate solution of the coverage probability
Figure BDA0002652020580000112
The effect of the invention can be further illustrated by simulation examples.
The simulation content and results are as follows: fig. 3 shows a comparison graph of the theoretical value and the simulated value of the coverage probability, and it can be seen that the theoretical curve is close to the simulated curve, which proves the accuracy of the theoretical analysis, and it can also be seen that the total number of devices in the analysis area has a large influence on the coverage probability. Fig. 4 shows a coverage probability curve under the condition of changing the antenna parameters, and it can be seen that when millimeter waves are deployed in a limited wireless network, the change of the antenna parameters has a certain influence on the coverage probability, and particularly, the change of the antenna main lobe gain has a large influence on the coverage probability.
The invention also provides a wireless network node deployment optimization system based on the binomial point process, which comprises a distribution model construction module of the D2D node, a general model construction module of blocking, channel distribution and path fading, an SINR distribution model acquisition module, a distance distribution calculation module, a Laplace transform module and a coverage probability calculation module;
the distribution model building module of the D2D node is used for building a distribution model of the D2D node in a limited wireless network by using a uniform binomial point process;
the general model building module for blocking, channel distribution and path fading is used for deploying millimeter waves in the limited wireless network S1 on the basis of a D2D node distribution model, setting an antenna model of D2D equipment and building a general model for blocking, channel distribution and path fading;
the SINR distribution model acquisition module derives an SINR distribution model based on the D2D node distribution model and the general models of blockage, channel distribution and path fading
A distance distribution calculation module derives a distance distribution of a D2D target receiver to transmitters in a line of sight range based on the D2D node distribution model and the common models of congestion, channel distribution, and path fading;
the Laplace transform module deduces Laplace transform of interference power at the D2D target receiver according to the distance distribution and the binomial point process characteristics;
the coverage probability calculation module combines the distance distribution and the Laplace transform distribution of the interference power to derive a coverage probability at a target receiver based on a coverage probability definitional formula.
The invention also provides a computer device, which comprises a memory, a processor and a computer program stored in the memory and running on the processor, wherein the processor executes the computer program to realize the steps of the wireless network node deployment optimization method based on the binomial point process.
The present invention may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, etc.) having computer-usable program code embodied therein. The wireless network node deployment optimization method based on the binomial point process can be stored in a computer readable storage medium if the method is realized in the form of a software functional unit and sold or used as an independent product.
Based on such understanding, in the exemplary embodiment, a computer readable storage medium is also provided, all or part of the processes in the method of the above embodiments of the present invention can be realized by a computer program to instruct related hardware, the computer program can be stored in the computer readable storage medium, and when the computer program is executed by a processor, the steps of the above method embodiments can be realized. Wherein the computer program comprises computer program code, which may be in the form of source code, object code, an executable file or some intermediate form, etc. Computer-readable storage media, including both non-transitory and non-transitory, removable and non-removable media, may implement information storage by any method or technology. The information may be computer readable instructions, data structures, modules of a program, or other data. It should be noted that the computer readable medium may contain content that is subject to appropriate increase or decrease as required by legislation and patent practice in jurisdictions, for example, in some jurisdictions, computer readable media does not include electrical carrier signals and telecommunications signals as is required by legislation and patent practice. The computer storage medium may be any available medium or data storage device that can be accessed by a computer, including but not limited to magnetic memory (e.g., floppy disk, hard disk, magnetic tape, magneto-optical disk (MO), etc.), optical memory (e.g., CD, DVD, BD, HVD, etc.), and semiconductor memory (e.g., ROM, EPROM, EEPROM, nonvolatile memory (NANDFLASH), Solid State Disk (SSD)), etc.
In an exemplary embodiment, a computer device is also provided, comprising a memory, a processor and a computer program stored in the memory and executable on the processor, the processor implementing the steps of the desuperheating water control method based on heating value calculation when executing the computer program. The processor may be a Central Processing Unit (CPU), other general purpose processor, a Digital Signal Processor (DSP), an Application Specific Integrated Circuit (ASIC), an off-the-shelf programmable gate array (FPGA) or other programmable logic device, discrete gate or transistor logic, discrete hardware components, etc.
The above-mentioned contents are only for illustrating the technical idea of the present invention, and the protection scope of the present invention is not limited thereby, and any modification made on the basis of the technical idea of the present invention falls within the protection scope of the claims of the present invention.

Claims (10)

1. A wireless network node deployment optimization method is characterized by comprising the following steps:
s1, establishing a distribution model of the D2D nodes in an analysis area of the limited wireless network by using a uniform binomial point process;
s2, on the basis of the D2D node distribution model, deploying millimeter waves in an analysis area in the limited wireless network in S1, setting an antenna model of D2D equipment, and establishing a general model of blocking, channel distribution and path fading;
s3, based on the D2D node distribution model of S1 and the general model of the blockage, channel distribution and path fading obtained in S2, deducing an SINR distribution model and the distance distribution from the D2D target receiver to the transmitter in the line-of-sight range;
s4, obtaining Laplace transform of interference power at the D2D target receiver based on the distance distribution obtained in S3 and the characteristic of binomial point process;
and S5, combining the distance distribution obtained in S3 and the Laplace transform distribution of the interference power obtained in S4 to derive the coverage probability at the target receiver according to the coverage probability definition.
2. The method for optimizing the deployment of wireless network nodes in claim 1, wherein in S1, an analysis area of a limited wireless network is determined, D2D devices in the analysis area are independently and uniformly distributed in the area according to a uniform binomial point process, half of the devices in the analysis area are set as transmitters, the other half of the devices are set as receivers, each receiver corresponds to one transmitter as a service device, and all the transmitters in the analysis area are in a transmission state at the same time; and acquiring the positions of a target receiver and the center of the analysis area, and then acquiring the distance between the target receiver and the center of the analysis area and the distance between the target receiver and the transmitter.
3. The method of claim 1, wherein in S2, according to the propagation characteristics of millimeter waves, the D2D device is set to use an array antenna to obtain a beamforming gain, a sector antenna is used to approximate an actual antenna, so as to obtain a directional gain of a link, a link between a target transmitter and a receiver is set to obtain a perfect directional gain, and an interfering link generates a random directional gain, so as to obtain four possible directional gain results and corresponding probabilities.
4. The method of claim 1, wherein in S2, a line of sight (LOS) sphere model is used to model the blocking effect, and define that the target receiver is located in the center of the LOS region, when the distance between the target receiver and the transmitter is smaller than or equal to the radius of the LOS region, the probability that the link between the target receiver and the transmitter is LOS is 1, and when the distance between the target receiver and the transmitter is larger than or equal to the radius of the LOS region, the probability that the link between the target receiver and the transmitter is LOS is 0, the target receiver randomly selects one transmitter as the serving transmitter in the LOS region, and the remaining transmitters are interfering transmitters, and obtain the path LOSs function l (S) of the LOS linkAnd channel gain, s, for LOS linkThe distance between the receiver and the transmitter, α, is a path loss parameter.
5. The method of claim 1, wherein in S3, based on the D2D node distribution model obtained in S1 and the general model in S2, the SINR distribution model is obtained
Figure FDA0002652020570000021
The numerator part represents the received power at the target receiver, and the denominator part represents the interference and noise influence on the signal transmission process; interference power
Figure FDA0002652020570000022
From transmitters other than the serving transmitter in the LOS region of the target receiver;
the probability density function of the distance is:
Figure FDA0002652020570000023
the serving transmitter and the interfering transmitter of the target receiver are both randomly selected in the LOS region, and the probability density functions of the serving distance and the interfering distance both satisfy the derivation, so the conditional probability density functions of the serving distance and the interfering distance are fR(r|v0)=fS(r|v0) And fW(w|v0)=fS(w|v0) And v is0Has a probability density function of
Figure FDA0002652020570000024
0≤v0≤R。
6. The method of claim 1, wherein in S4, the Laplace transform of interference power is calculated based on the interference distance distribution and the binomial point process characteristics,
when v is more than or equal to 00≤R-RBThe laplace transform of the interference power is:
Figure FDA0002652020570000031
when R-RB<v0When R is less than or equal to R, the Laplace of the interference power is converted into:
Figure FDA0002652020570000032
wherein,
Figure FDA0002652020570000033
7. the method for optimizing the deployment of radio network nodes according to claim 1, wherein in S5, the coverage probability is defined as PcP { SINR > T }, which represents the probability that the signal to interference plus noise ratio SINR at the receiver is greater than the threshold T, and the coverage probability expression is:
Figure FDA0002652020570000034
wherein the probability P [ SINR > T]The derivation of (c) is as follows:
combining interference power Laplace transform with coverage probability definitional formula, service distance distribution, v0The exact solution to the coverage probability is obtained as:
Figure FDA0002652020570000035
8. the wireless network node deployment optimization system based on the binomial point process is characterized by comprising a distribution model building module of a D2D node, a general model building module for blocking, channel distribution and path fading, an SINR distribution model obtaining module, a distance distribution calculating module, a Laplace transform module and a coverage probability calculating module;
the distribution model building module of the D2D node is used for building a distribution model of the D2D node in a limited wireless network by using a uniform binomial point process;
the general model building module for blocking, channel distribution and path fading is used for deploying millimeter waves in the limited wireless network S1 on the basis of a D2D node distribution model, setting an antenna model of D2D equipment and building a general model for blocking, channel distribution and path fading;
the SINR distribution model acquisition module derives an SINR distribution model based on the D2D node distribution model and the general models of blockage, channel distribution and path fading
A distance distribution calculation module derives a distance distribution of a D2D target receiver to transmitters in a line of sight range based on the D2D node distribution model and the common models of congestion, channel distribution, and path fading;
the Laplace transform module deduces Laplace transform of interference power at the D2D target receiver according to the distance distribution and the binomial point process characteristics;
the coverage probability calculation module combines the distance distribution and the Laplace transform distribution of the interference power to derive a coverage probability at a target receiver based on a coverage probability definitional formula.
9. A computer arrangement comprising a memory, a processor and a computer program stored in the memory and executable on the processor, the processor implementing the steps of the radio network node deployment optimization method according to any one of claims 1 to 7 when executing the computer program.
10. A computer-readable storage medium, in which a computer program is stored which, when being executed by a processor, carries out the steps of the radio network node deployment optimization method according to any one of claims 1 to 7.
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