CN109327851A - Cover the super-intensive isomery cellular network subscriber cut-in method separated with data plane - Google Patents

Cover the super-intensive isomery cellular network subscriber cut-in method separated with data plane Download PDF

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CN109327851A
CN109327851A CN201811473149.6A CN201811473149A CN109327851A CN 109327851 A CN109327851 A CN 109327851A CN 201811473149 A CN201811473149 A CN 201811473149A CN 109327851 A CN109327851 A CN 109327851A
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base station
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micro
cluster
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CN109327851B (en
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钱志鸿
朱巧
黄岚
许建华
向长波
王雪
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Jilin University
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W24/00Supervisory, monitoring or testing arrangements
    • H04W24/06Testing, supervising or monitoring using simulated traffic
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W48/00Access restriction; Network selection; Access point selection
    • H04W48/16Discovering, processing access restriction or access information

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Abstract

The invention belongs to super-intensive isomery cellular network subscriber access technology fields, disclose a kind of super-intensive isomery cellular network subscriber cut-in method for covering and separating with data plane, establish microcell base station system model based on Poisson cluster process;User can be by multiple micro-base stations cooperation access service around the same hotspot's distribution;Macro base station system model is established based on poisson process;It is mainly responsible in macro base station and completes covering function, under the premise of micro-base station is responsible for high data rate transfer, derive that macro base station user and micro-base station user receive SINR distributed model and interference profile model respectively;Average achievable rate when being serviced using user in SINR distributed model and known range distribution model inference network by different type base station;Derive the reliable enclosed upper bound and the lower bound of the Laplace transformation of interference profile model.The present invention is by Numerical Simulation Results it can be found that mentioned method can obtain higher data rate.

Description

Cover the super-intensive isomery cellular network subscriber cut-in method separated with data plane
Technical field
The invention belongs to super-intensive isomery cellular network subscriber access technology field more particularly to a kind of covering and data are flat The super-intensive isomery cellular network subscriber cut-in method of face separation.
Background technique
Currently, the prior art commonly used in the trade is such that
Random geometry is a kind of mathematical tool of description cyberspace distribution with broad applicability, is adapted to model The spatial distribution of super-intensive base station and user more can accurately describe between the performance indicator of network and network deployment parameters Theory relation, reference can be provided for the deployment of the following super-intensive isomery cellular network.
User provides service by the single user for meeting its service indication in traditional mobile wireless network, but with base The super-intensive deployment stood, this method of service are no longer applicable in.
The base station that user accesses multiple collaboration services is considered as that a kind of effective operating mode is following extensive to solve The High Data Rate demand of network, while the problem of be able to solve serious interference between dense deployment base station.Based on widely accepted Data control separation architecture, macro base station is responsible for forwarding all control signalings, provides extensive covering;And micro-base station is then made For the supplement of hot spot region, it is responsible for high data rate traffic.In such a mode, there are two kinds of user, the first use Family is macro base station user, and this kind of user does not have high data transfer demands, it is only necessary to which macro base station provides basic data transmission guarantee; Second is micro-base station user, and this kind of user generally requires high transmission rate, can provide service by multiple base station collaborations.
In conclusion problem of the existing technology is:
(1) in traditional mobile wireless network user by meet its service indication single user provide service, but with Base station super-intensive deployment, the distance between base station shorten, form worse interference environment, this method of service is no longer It is applicable in.
(2) micro-base station of super-intensive deployment has the characteristic disposed in hot spot region cluster, and this characteristic is for existing Traditional network access way will not only bring gain, can also communication between severe jamming serving BS and user.
(3) future network is the structure of a covering and data separating, and super-intensive network-intensive disposes micro-base station to height Data rate transmission, comprehensive covering of the macro base station to control signal form the network gently loaded, although bringing considerable Cell splitting gain, but the thus inevitable waste for causing resource and low frequency spectrum utilization rate.
Solve the meaning of above-mentioned technical problem:
It, can band using the Clustering property of super-intensive micro-base station, and by the same user of micro-base station collaboration services of cluster Carry out considerable data rate gain.
In the network gently loaded, the density of base station is greater than the density of user, and base station collaboration services the same user can band Carry out considerable spectrum reuse gain.
Complex jamming environment caused by the super-intensive of base station is disposed needs the interference cancellation algorithm of reliable design and receives hard Part carries out interference elimination, and cluster deployment can aggravate this disadvantage.Cluster micro-base station collaboration services directly avoid nearest Several interference sources are eliminated not only for interference and are of great significance, and resource utilization can be improved.
Summary of the invention
In view of the problems of the existing technology, the present invention provides a kind of super-intensive isomeries for covering and separating with data plane Cellular network subscriber cut-in method.
The invention is realized in this way a kind of cover the super-intensive isomery cellular network subscriber access separated with data plane Method includes:
Macro base station is responsible for covering, and the micro-base station collaboration services user of cluster provides high data rate;
Based on the distributed model of poisson process modeling user and macro base station, the poisson process of one of Poisson cluster process is built Vertical micro-base station distributed model;
Obtain the distance between base station and user distributed model under the process model of difference;
Derive SINR distributed model and interference profile model;
Using user in SINR distributed model and range distribution model inference network respectively by single macro base station or cluster Micro-base station collaboration services when average achievable rate theoretical expression;
Utilize the interference profile model of the Laplace transformation analysis super-intensive heterogeneous network of interference;
Derive the reliable upper bound and the lower bound of the Laplace transformation of interference profile model;
Final user is obtained by the flat of single macro base station or multiple cluster micro-base station collaboration services using the above results The upper bound of equal achievable rate and lower bound;
By comparing Poisson cluster process and user of the poisson process under identical situation be averaged achievable rate and numerical value it is imitative Very as a result, it can be found that the base station deployment of cluster can bring significant rate to increase when collaboration services.This and it is single Cluster deployment bring negative effect is exactly the opposite when micro-base station services, and cooperation can bring significant handling capacity when access Gain.
Further, it is λ that user distribution and macro base station distribution are modeled as intensity function respectivelyuAnd λmPoisson process, Micro-base station position is modeled as around the subprocess for taking hot zones position as the distribution of father's process in poisson process, and father's process is strong Degree function is λp, the average value at each cluster midpoint isSo the intensity function of micro-base station isWhereinFor each cluster The average value of interior points;
The micro-base station of different clusters is evenly distributed on using user as the center of circle, using γ to have following form in the circle of radius Probability density function:
Further, using the characteristic of poisson process, above-mentioned conclusion is extended to positioned at super-intensive isomery honeycomb The user of any position in network.
Further, using macro base station wide coverage, and micro-base station disposes intensive characteristic, is responsible for covering by macro base station Lid, the same user of micro-base station collaboration services of multiple clusters can effectively reduce the switching times in user's moving process, show It writes and improves user up to data rate.
Further, it is based on Poisson cluster process and poisson process, establishes system model, and is obtained different in user and cluster The served distance distributed model difference of the distance between base station distributed model, user to macro base station and micro-base station is as follows:
Wherein I0() is first kind amendment zero Bessel function, and η is scalar parameter.R be user to serving BS it Between distance, | | x0| | it is user to the relative distance between the nearest cluster micro-base station cluster heart.
Further, the expression-form of the SINR distributed model when user is serviced by macro base station and micro-base station respectively is such as Under:
Wherein, since typical user can represent the performance of all users, so above-mentioned expression-form is to be located at origin Typical user reference point obtained by.Wherein, k={ m, s } respectively indicates macro base station and provides service and micro-base station offer service;Sk ={ bm,Cs, respectively indicate the macro base station of service and the micro-base station cluster of collaboration services.Assuming that macro base station and micro-base station are deployed in not In same frequency range,WithRespectively indicate user by macro base station and The accumulated interference for other same layer base stations from non-serving base stations that cluster micro-base station is subjected to when servicing, σ2It is additive Gaussian White noise;Fading model in network is rayleigh distributed, mean value 1, index α > 2 in path fading model.
Further, under super-intensive isomery cellular network situation, any base station in the base station cluster of service is provided and is mentioned for user The model of the average achievable rate supplied is as follows:
Further, the drawing of the accumulated interference received at user is provided using the definition of the Laplace transformation of Poisson cluster process Family name's transformation is as follows:
Wherein
It further, is the superiority for embodying mentioned Access Algorithm, and the meter of the Laplace transformation in view of Poisson cluster process Complexity is calculated, proposes the reliable upper bound and lower bound of the Laplace transformation convenient for analysis here:
Further, Laplace transformation result is substituted into RsObtain the network user be averaged achievable rate the upper bound and lower bound, and The correlation between cluster interior nodes is decoupled, is obtained:
Wherein,
Further, the method has the characteristic that clusters using the deployment of super-intensive micro-base station, using Poisson cluster process and Poisson process models the location distribution of micro-base station and macro base station respectively, and proposes that one kind is multiple micro- according to the characteristic to cluster Base station collaboration services the cut-in method of the same user, and emulation proves this method compared to micro- base in the case of poisson process Stand distribution and cooperation access it is more superior.
Another object of the present invention is to provide a kind of super-intensive isomery cellular network use for covering and separating with data plane Computer program is accessed at family, described to cover the super-intensive isomery cellular network subscriber access computer program separated with data plane Realize the super-intensive isomery cellular network subscriber cut-in method that the covering is separated with data plane.
Another object of the present invention is to provide a kind of terminal, the terminal, which is at least carried, realizes that the covering and data are flat The server of the super-intensive isomery cellular network subscriber cut-in method of face separation.
Another object of the present invention is to provide a kind of computer readable storage mediums, including instruction, when it is in computer When upper operation, so that computer executes the super-intensive isomery cellular network subscriber access side that the covering is separated with data plane Method.
Another object of the present invention is to provide the super-intensive isomeries that the covering described in a kind of realize is separated with data plane The super-intensive isomery cellular network subscriber access control system that the covering of cellular network subscriber cut-in method is separated with data plane.
The super-intensive isomery bee for covering and separating with data plane is carried another object of the present invention is to provide a kind of Nest network user's access control system network platform.
In conclusion advantages of the present invention and good effect are as follows:
The present invention provides a kind of user access method of super-intensive isomery cellular network that faces the future, for the following super-intensive In isomery cellular network, micro-base station is deployed with the characteristics of clustering around hot spot region, uses this distribution of Poisson cluster process model building Characteristic;Meanwhile in order to avoid user ceaselessly switches between micro-base station, the network architecture based on covering with data separating, benefit Extensive covering is provided for user with macro base station, micro-base station provides high data rate connection service;On this basis, it proposes a kind of super Intensive base station collaboration services the cut-in method of the same user, effectively promotes cell splitting gain.And it is theoretical using random geometry Derive the theoretical expression of average achievable rate.The reliable upper bound for being easy to analytical calculation Laplace transformation and lower bound are acquired, is put down The theoretical upper bound of reliable rate and lower bound.By theory analysis and numerical simulation it can be found that comparing traditional user's access Mode, the present invention are capable of providing higher data rate and more flexible access way, to super-intensive isomery cellular network in future Development and research be of great significance.
A kind of covering provided by the invention and the super-intensive base station collaboration cut-in method under data separating framework, propose one The super-intensive isomery cellular network operation mode for the micro-base station collaboration services that one user of kind is disposed by multiple clusters, can be effective It avoids the super-intensive of micro-base station from disposing bring interference problem and promote user to be averaged achievable rate;Utilize Poisson cluster process and pool Loose point process models the spatial model of macro base station and micro-base station respectively, obtains the range distribution model and interference profile of network with this Model, the user analyzed in network is averaged achievable rate, by Numerical Simulation Results it can be found that mentioned method can obtain more High data rate.As shown in figure 3, astroid indicate be original access way average achievable rate.It is compared to tradition Wireless single access way, it is contemplated that Clustering property and the access way using this Clustering property collaboration services user, individually The data rate that base station is capable of providing is at least 3 times of original access way;As shown in figure 4, the base station number of collaboration services is upper The linear increase that can bring average user achievable rate is risen, considerable data rate gain is brought, in comparison, than original Single access way data rate it is 2.5 times at least high.
Detailed description of the invention
Fig. 1 is the super-intensive isomery cellular network subscriber access provided in an embodiment of the present invention for covering and separating with data plane Method working model figure;
Fig. 2 is the flow chart based on covering with the super-intensive base station collaboration cut-in method under data separating framework;
Fig. 3 is that user under the different micro-base station deployment density provided in an embodiment of the present invention achievable rate emulation that be averaged is tied Fruit.
Fig. 4 is that different collaboration services are that user under the number of base station is averaged achievable rate simulation result.
Specific embodiment
In order to make the objectives, technical solutions, and advantages of the present invention clearer, with reference to embodiments, to the present invention It is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, it is not used to Limit the present invention.
A kind of covering provided by the invention and the super-intensive base station collaboration cut-in method under data separating framework, propose one The super-intensive isomery cellular network operation mode for the micro-base station collaboration services that one user of kind is disposed by multiple clusters.It can be effective It avoids the super-intensive of micro-base station from disposing bring interference problem and promote user to be averaged achievable rate;Utilize Poisson cluster process and pool Loose point process models the spatial model of macro base station and micro-base station respectively, obtains the range distribution model and interference profile of network with this Model, the user analyzed in network is averaged achievable rate, by Numerical Simulation Results it can be found that mentioned method can obtain more High data rate.
Application of the invention is further described below with reference to concrete analysis.
As shown in Figure 1, the present invention provide a kind of covering with data separating framework under super-intensive base station collaboration cut-in method, Service is provided for same user simultaneously by multiple base stations of cluster deployment.By Poisson cluster process and poisson process respectively to micro- Base station and macro base station are modeled.It, will in the following super-intensive isomery cellular network in order to obtain higher message transmission rate More and more micro-base stations are disposed, the base station number of every sq-km may be much larger than 103A, following network will be a kind of light The network of load, coordinated multipoint transmission technology are practicable.And due to the characteristic that micro-base station clusters in hot spot, if it is The situation of single base station service, the base station to cluster will be serious interference.The present invention utilizes this characteristic, proposes cluster micro-base station Disadvantage is converted advantage by cooperation transmission, can bring considerable data rate gain.
As shown in Fig. 2, a kind of covering provided by the invention and the super-intensive base station collaboration access side under data separating framework Method includes the following steps:
Macro base station is responsible for covering, and the micro-base station collaboration services user of cluster provides high data rate;
Based on the distributed model of poisson process modeling user and macro base station, the poisson process of one of Poisson cluster process is built Vertical micro-base station distributed model;
Obtain the distance between base station and user distributed model under the process model of difference;
Derive SINR distributed model and interference profile model;
Using user in SINR distributed model and range distribution model inference network respectively by single macro base station or cluster Micro-base station collaboration services when average achievable rate theoretical expression;
Utilize the interference profile model of the Laplace transformation analysis super-intensive heterogeneous network of interference;
Derive the reliable upper bound and the lower bound of the Laplace transformation of interference profile model;
Final user is obtained by the flat of single macro base station or multiple cluster micro-base station collaboration services using the above results The upper bound of equal achievable rate and lower bound;
By comparing Poisson cluster process and user of the poisson process under identical situation be averaged achievable rate and numerical value it is imitative Very as a result, it can be found that the base station deployment of cluster can bring significant rate to increase when collaboration services.This and it is single Cluster deployment bring negative effect is exactly the opposite when micro-base station services, and cooperation can bring significant handling capacity when access Gain.
The specific method is as follows for above-mentioned steps:
Step 201: based on future network control data separating framework, decouple isomery base station overlay planes and data plane, Study the dynamic cooperative access mechanism of super-intensive network.The characteristic disposed using super-intensive micro-base station cluster designs cluster base station The access way of the same user of collaboration services, and network performance is captured using Poisson cluster process model building.
Step 202: user distribution and macro base station distribution are modeled as intensity function respectively as λuAnd λmPoisson process, Micro-base station position is modeled as around the subprocess for taking hot zones position as the distribution of father's process in poisson process, and father's process is strong Degree function is λp, the average value at each cluster midpoint isSo the intensity function of micro-base station isWhereinFor each cluster The average value of interior points;
The micro-base station of different clusters is evenly distributed on using user as the center of circle, using γ to have following form in the circle of radius Probability density function:
Step 203: being based on Poisson cluster process and poisson process, establish system model, and obtain different in user and cluster The served distance distributed model difference of the distance between base station distributed model, user to macro base station and micro-base station is as follows:
Wherein I0() is first kind amendment zero Bessel function, and η is scalar parameter.R be user to serving BS it Between distance, | | x0| | it is user to the relative distance between the nearest cluster micro-base station cluster heart.
The expression-form of SINR distributed model when the user is serviced by macro base station and micro-base station respectively is as follows:
Wherein, since typical user can represent the performance of all users, so above-mentioned expression-form is to be located at origin Typical user reference point obtained by.Wherein, k={ m, s } respectively indicates macro base station and provides service and micro-base station offer service;Sk ={ bm,Cs, respectively indicate the macro base station of service and the micro-base station cluster of collaboration services.Assuming that macro base station and micro-base station are deployed in not In same frequency range,WithRespectively indicate user by macro base station and The accumulated interference for other same layer base stations from non-serving base stations that cluster micro-base station is subjected to when servicing, σ2It is additive Gaussian White noise;Fading model in network is rayleigh distributed, mean value 1, index α > 2 in path fading model.
Step 204: under super-intensive isomery cellular network situation, any base station in the base station cluster of service being provided and is provided for user Average achievable rate model it is as follows:
The Laplace transformation of the accumulated interference received at user is provided such as using the definition of the Laplace transformation of Poisson cluster process Under:
Wherein
Step 205: for the superiority for embodying mentioned Access Algorithm, and considering the calculating of the Laplace transformation of Poisson cluster process Complexity proposes the reliable upper bound and lower bound of the Laplace transformation convenient for analysis here:
Step 206: Laplace transformation result is substituted into RsObtain the network user be averaged achievable rate the upper bound and lower bound, and solve Correlation between coupling cluster interior nodes, obtains:
Wherein,
The embodiment of the present invention provides a kind of super-intensive isomery cellular network subscriber access control for covering and separating with data plane System processed.
Application of the invention is further described below with reference to emulation experiment.
The embodiment of the present invention is in order to embody superiority of the invention, by acquired results and based on the super-intensive of poisson process Base station deployment situation has carried out numerical simulation comparison, considers a kind of verifying of embodiment in special circumstances, does not consider as to make an uproar Sound, α=4, fading model use Rayleigh fading, can obtain Fig. 3 and Fig. 4
It is not difficult to find that providing collaboration services by multiple base stations of cluster when considering Clustering property for user When, ratio is averaged achievable rate performance more preferably in the user obtained based on poisson process.And with the base of collaboration services It stands the rising of number, this performance also has better promotion, but this promotion has the upper limit.
In the above-described embodiments, can come wholly or partly by software, hardware, firmware or any combination thereof real It is existing.When using entirely or partly realizing in the form of a computer program product, the computer program product include one or Multiple computer instructions.When loading on computers or executing the computer program instructions, entirely or partly generate according to Process described in the embodiment of the present invention or function.The computer can be general purpose computer, special purpose computer, computer network Network or other programmable devices.The computer instruction may be stored in a computer readable storage medium, or from one Computer readable storage medium is transmitted to another computer readable storage medium, for example, the computer instruction can be from one A web-site, computer, server or data center pass through wired (such as coaxial cable, optical fiber, Digital Subscriber Line (DSL) Or wireless (such as infrared, wireless, microwave etc.) mode is carried out to another web-site, computer, server or data center Transmission).The computer-readable storage medium can be any usable medium or include one that computer can access The data storage devices such as a or multiple usable mediums integrated server, data center.The usable medium can be magnetic Jie Matter, (for example, floppy disk, hard disk, tape), optical medium (for example, DVD) or semiconductor medium (such as solid state hard disk Solid State Disk (SSD)) etc..
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all in essence of the invention Made any modifications, equivalent replacements, and improvements etc., should all be included in the protection scope of the present invention within mind and principle.

Claims (10)

1. a kind of cover the super-intensive isomery cellular network subscriber cut-in method separated with data plane, which is characterized in that described Covering the super-intensive isomery cellular network subscriber cut-in method separated with data plane includes:
Microcell base station system model is established based on Poisson cluster process;
User is by multiple micro-base stations cooperation access service around the same hotspot's distribution;
Macro base station system model is established based on poisson process;
Macro base station carry out control signal covering, micro-base station carry out high data rate transfer, derive respectively macro base station user and Micro-base station user receives SINR distributed model and interference profile model;
When being serviced using user in SINR distributed model and known range distribution model inference network by different type base station Average achievable rate;
Derive the reliable enclosed upper bound and the lower bound of the Laplace transformation of interference profile model;
The average bound up to speed of user is derived based on the reliable enclosed upper bound and lower bound.
2. the super-intensive isomery cellular network subscriber cut-in method separated with data plane is covered as described in claim 1, It is characterized in that, user distribution and macro base station distribution are modeled as intensity function respectively as λuAnd λmPoisson process, micro-base station position It sets and is modeled as around the subprocess for taking hot zones position as the distribution of father's process in poisson process, father's procedural strength function is λp, the average value at each cluster midpoint isThe intensity function of micro-base station isWhereinFor the flat of the points in each cluster Mean value;
The micro-base station of different clusters is evenly distributed on using user as the center of circle, using γ to have the probability of following form in the circle of radius Density function:
3. the super-intensive isomery cellular network subscriber cut-in method separated with data plane is covered as described in claim 1, It is characterized in that, microcell base station system model is established based on Poisson cluster process, and obtain in user and cluster between different base station The served distance distributed model difference of range distribution model, user to macro base station and micro-base station is as follows:
Wherein I0() is first kind amendment zero Bessel function, and η is scalar parameter, r be user between serving BS away from From, | | x0| | it is user to the relative distance between the nearest cluster micro-base station cluster heart.
4. the super-intensive isomery cellular network subscriber cut-in method separated with data plane is covered as described in claim 1, It is characterized in that, the expression-form of SINR distributed model when user is serviced by macro base station and micro-base station respectively is as follows:
Wherein, k={ m, s } respectively indicates macro base station and provides service and micro-base station offer service;pkIt is the transmitting of different layers base station Power;Sk={ bm,Cs, respectively indicate the macro base station of service and the micro-base station cluster of collaboration services;Assuming that macro base station and micro-base station portion It affixes one's name in different frequency ranges,WithUser is respectively indicated by macro The accumulated interference for other same layer base stations from non-serving base stations that base station and cluster micro-base station are subjected to when servicing, σ2It is to add Property white Gaussian noise;Fading model in network is hk,0, Rayleigh distributed, mean value 1, path fading model index α > 2.
5. the super-intensive isomery cellular network subscriber cut-in method separated with data plane is covered as described in claim 1, It is characterized in that, under super-intensive isomery cellular network situation, any base station in the base station cluster of service is provided and is averaged for what user provided The model of achievable rate is as follows:
Wherein, fs(v) range distribution function of the user to the minimum distance micro-base station cluster heart, f are indicateds(r | v) indicate micro-base station to cluster The relative distance distribution function of the heart;
Base station number in different super-intensive micro-base station clusters is μ, is provided at user using the definition of the Laplace transformation of Poisson cluster process The Laplace transformation of the accumulated interference received is as follows:
Wherein
The reliable upper bound and lower bound are as follows:
Laplace transformation result is substituted into RsObtain the network user be averaged achievable rate the upper bound and lower bound, and decouple cluster interior nodes it Between correlation, obtain:
Wherein,
6. a kind of cover the super-intensive isomery cellular network subscriber access computer program separated with data plane, feature exists In the super-intensive isomery cellular network subscriber access computer program separated with data plane that covers realizes claim 1 The super-intensive isomery cellular network subscriber cut-in method that covering described in~5 any one is separated with data plane.
7. a kind of terminal, which is characterized in that the terminal at least carry realize Claims 1 to 5 any one described in covering with The server of the super-intensive isomery cellular network subscriber cut-in method of data plane separation.
8. a kind of computer readable storage medium, including instruction, when run on a computer, so that computer is executed as weighed The super-intensive isomery cellular network subscriber cut-in method that benefit requires covering described in 1-5 any one to separate with data plane.
9. a kind of super-intensive isomery Cellular Networks realizing covering described in Claims 1 to 5 any one and being separated with data plane The super-intensive isomery cellular network subscriber access control system that the covering of network user access method is separated with data plane.
10. a kind of carry the super-intensive isomery cellular network subscriber access control for covering described in claim 9 and separating with data plane Grid platform processed.
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