CN107872781B - A kind of DUE is averaged access number optimization method - Google Patents

A kind of DUE is averaged access number optimization method Download PDF

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CN107872781B
CN107872781B CN201711089421.6A CN201711089421A CN107872781B CN 107872781 B CN107872781 B CN 107872781B CN 201711089421 A CN201711089421 A CN 201711089421A CN 107872781 B CN107872781 B CN 107872781B
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cue
cellular
receiving end
link
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CN107872781A (en
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张中山
梁小雨
孙鉴
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University of Science and Technology Beijing USTB
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W48/00Access restriction; Network selection; Access point selection
    • H04W48/16Discovering, processing access restriction or access information
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W28/00Network traffic management; Network resource management
    • H04W28/02Traffic management, e.g. flow control or congestion control
    • H04W28/06Optimizing the usage of the radio link, e.g. header compression, information sizing, discarding information
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W48/00Access restriction; Network selection; Access point selection
    • H04W48/02Access restriction performed under specific conditions
    • H04W48/06Access restriction performed under specific conditions based on traffic conditions

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Abstract

The present invention provides a kind of DUE and is averaged access number optimization method, and maximum multiplexing DUE access number can be achieved the purpose that by adjusting the density of DUE.The described method includes: obtaining the reception signal in cellular network uplink at BS and at the receiving end D2D respectively based on a CUE and multiple DUE to the scene for being multiplexed same subchannel;According to the reception signal in the uplink of acquisition at BS, the Signal to Interference plus Noise Ratio of cellular link is determined, and according to the reception signal at the receiving end D2D of acquisition, determine the Signal to Interference plus Noise Ratio of D2D link receiving end signal power;According to the Signal to Interference plus Noise Ratio of obtained cellular link and D2D link receiving end signal power, determine that DUE accesses the closed expression of the average access number of cellular network in the case where CUE is higher than DUE using the priority of cellular frequency spectrum resource;According to the closed expression of the average access number of determining DUE access cellular network, determine that maximizing DUE is averaged the best DUE density of access number.The present invention relates to wireless communication fields.

Description

DUE average access number optimization method
Technical Field
The invention relates to the field of wireless communication, in particular to a DUE average access number optimization method.
Background
When two cellular users are in close proximity, Device-to-Device (D2D) communication may be established. When spectrum resources in a cell are not sufficient, D2D User Equipment (D2D User Equipment, DUE) can transmit data by multiplexing cellular resources, but can cause non-negligible interference to the cellular link. Therefore, in order to enable more DUE to access to the heterogeneous network, interference between the same-frequency Cellular User Equipment (ue) and the DUE needs to be balanced.
To mitigate the interference caused by multiplexing DUE to cellular links, different scholars have proposed different solutions, such as setting isolation areas. The purpose of the isolation region is to avoid interfering users being close to each other, but doing so can result in uneven distribution of the DUE, which can pose a significant challenge to interference derivation.
Disclosure of Invention
The invention aims to provide a method for optimizing the average access number of DUEs (dual access units), so as to solve the problems that the arrangement of an isolation region in the prior art causes uneven distribution of the DUEs and is not beneficial to interference derivation.
To solve the foregoing technical problem, an embodiment of the present invention provides a method for optimizing the average access number of DUE, including:
respectively acquiring received signals at a BS (base station) position and a D2D receiving end on an uplink of a cellular network based on a scene that a CUE and a plurality of DUE pairs multiplex the same sub-channel, wherein the premise of accessing the cellular network by the DUE is that the DUE is allowed to multiplex the spectrum resource is a CUE which has acquired the spectrum resource and can successfully communicate under the orthogonal condition, the CUE represents cellular user equipment, the DUE represents D2D user equipment, the BS represents a base station, and the D2D represents end-to-end;
determining the signal-to-interference-and-noise ratio of a cellular link according to the acquired receiving signal at the BS on the uplink, and determining the signal-to-interference-and-noise ratio of the signal power at the receiving end of the D2D link according to the acquired receiving signal at the receiving end of the D2D;
according to the signal-to-interference-and-noise ratio of the signal power of the cellular link and the receiving end of the D2D link, determining a closed expression of the average access number of the DUE to the cellular network under the condition that the priority of the CUE utilizing cellular spectrum resources is higher than that of the DUE;
determining an optimal DUE density that maximizes the average number of DUEs accessed to the cellular network according to a closed-form expression of the determined average number of DUEs accessed to the cellular network.
Further, the received signal at the BS is represented as:
the received signal at the receiving end of D2D is represented as:
wherein, ybRepresenting the received signal at the BS, yjDenotes a received signal at the jth D2D receiving end, alpha denotes a path loss exponent, xcb、xib、xcjAnd xijRespectively showing the distances h between the CUE and the BS, the ith D2D transmitting end and the BS, the CUE and the jth D2D receiving end, the ith D2D transmitting end and the jth D2D receiving endcb、hib、hcjAnd hijRespectively representing fast fading factors P between the CUE and the BS, the ith D2D transmitting end and the BS, the CUE and the jth D2D receiving end, the ith D2D transmitting end and the jth D2D receiving endc、PdRepresenting the transmit powers, s, of CUE and DUE, respectivelycAnd siRespectively representing the transmitting signals of the CUE and the ith D2D transmitting terminal, N0Representing additive white gaussian noise at the receiving end.
Further, the signal to interference plus noise ratio of the cellular link is expressed as:
the signal-to-interference-and-noise ratio of the signal power at the receiving end of the D2D link is expressed as:
wherein, the SINRcRepresenting signal to interference plus noise ratio, SINR, of a cellular linkjRepresents the signal-to-interference-and-noise ratio, x, of the signal power at the jth D2D receiving end of the D2D linkjjRepresents the distance h from the jth D2D transmitting end to the jth D2D receiving endjjRepresents the small-scale fading factors of the channels from the jth D2D transmitting end to the jth D2D receiving end,σ2representing additive white Gaussian noise power, phi, on a single sub-channeldDenotes DUE distribution obedience density is lambdadPoisson point process model of (1).
Further, the σ2Expressed as: sigma2=NW;
Where N represents the power spectral density of additive white gaussian noise and W represents the sub-channel spectral bandwidth.
Further, in a case where the priority of the CUE to utilize the cellular spectrum resource is higher than the DUE, the closed expression of the average number of accesses by the DUE to access to the cellular network is expressed as:
wherein,a closed form expression representing an average number of accesses by the DUE to the cellular network in a case where the priority of the use of the cellular spectrum resources by the CUE is higher than the DUE;indicating the D2D communication average coverage probability in case that the priority of the CUE utilizing the cellular spectrum resource is higher than the DUE; r represents the radius of a circular cell centered on the base station; erf (·) represents an error function; r represents the distance between each pair of DUEs; gamma rayc、γdRespectively, representing the signal to interference and noise ratio thresholds for cellular link and D2D link communications.
Further, theExpressed as:
further, the optimal DUE density for maximizing the average access number of DUE is:
wherein,representing the optimal DUE density that maximizes the average number of accesses to the DUE.
The technical scheme of the invention has the following beneficial effects:
in the above scheme, based on a scenario that one CUE and multiple DUE pairs multiplex the same sub-channel, the received signals at the BS and the D2D receiving end on the uplink of the cellular network are obtained respectively; determining the signal-to-interference-and-noise ratio of a cellular link according to the acquired receiving signal at the BS on the uplink, and determining the signal-to-interference-and-noise ratio of the signal power at the receiving end of the D2D link according to the acquired receiving signal at the receiving end of the D2D; according to the signal-to-interference-and-noise ratio of the signal power of the cellular link and the receiving end of the D2D link, determining a closed expression of the average access number of the DUE to the cellular network under the condition that the priority of the CUE utilizing cellular spectrum resources is higher than that of the DUE; and determining the optimal DUE density for maximizing the average number of DUEs according to the determined closed expression of the average number of DUEs accessed to the cellular network, so that the maximum number of multiplexing DUEs accessed can be achieved by adjusting the density of DUEs, the problem of inconvenient interference derivation caused by setting an isolation area is avoided, and important reference can be provided for the actual cellular network resource allocation.
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Fig. 1 is a flowchart illustrating a method for optimizing the mean access number of DUE according to an embodiment of the present invention;
fig. 2 is a schematic diagram of a cellular heterogeneous network according to an embodiment of the present invention;
FIG. 3 is a schematic diagram of a theoretical curve and a simulation curve according to an embodiment of the present invention, assuming that the signal-to-interference-and-noise ratio thresholds of the CUE and the DUE are the same, and the average access number of the DUE varies with the DUE density under different thresholds;
fig. 4 is a schematic diagram of a theoretical curve that is provided by an embodiment of the present invention and that indicates that the average number of DUEs accessed varies with the ratio of the signal-to-interference-and-noise ratio threshold to the transmit power of the CUE under different density of the DUEs;
fig. 5 is a schematic diagram of a theoretical curve that is provided by an embodiment of the present invention and that indicates that the average access number of DUE varies with the ratio of the signal-to-interference-and-noise ratio threshold to the transmit power of the DUE at different DUE densities;
fig. 6 is a schematic diagram of a theoretical curve that is provided by an embodiment of the present invention and that shows the variation of the average access number of DUE according to the ratio of the transmit power of DUE to CUE to the transmit power of DUE under different DUE densities.
Detailed Description
In order to make the technical problems, technical solutions and advantages of the present invention more apparent, the following detailed description is given with reference to the accompanying drawings and specific embodiments.
The invention provides a DUE average access number optimization method aiming at the problems that the existing isolation region arrangement can cause the uneven distribution of DUEs and is not beneficial to interference derivation.
As shown in fig. 1, the method for optimizing the mean access number of DUE provided in the embodiment of the present invention includes:
s101, based on a scenario that a CUE and a plurality of DUE pairs multiplex the same sub-channel, respectively acquiring received signals at a BS and a D2D receiving end on an uplink of a cellular network, wherein the premise of accessing the cellular network by the DUE is that the DUE is allowed to multiplex a spectrum resource is a CUE which has acquired the spectrum resource and can successfully communicate under an orthogonal condition, the CUE represents cellular user equipment, the DUE represents D2D user equipment, the BS represents a base station, and the D2D represents end-to-end;
s102, determining the signal-to-interference-and-noise ratio of a cellular link according to the acquired receiving signal at the BS on the uplink, and determining the signal-to-interference-and-noise ratio of the signal power at the receiving end of the D2D link according to the acquired receiving signal at the receiving end of the D2D;
s103, determining a closed expression of the average access number of the DUE to the cellular network under the condition that the priority of the CUE utilizing cellular spectrum resources is higher than that of the DUE according to the signal-to-interference-and-noise ratio of the cellular link and the signal power of the receiving end of the D2D link;
and S104, determining the optimal DUE density which maximizes the average number of DUEs accessed into the cellular network according to the determined closed expression of the average number of DUEs accessed into the cellular network.
The DUE average access number optimization method in the embodiment of the invention respectively acquires the received signals at the BS and the D2D receiving end on the uplink of the cellular network based on the scene that one CUE and a plurality of DUE pairs multiplex the same sub-channel; determining the signal-to-interference-and-noise ratio of a cellular link according to the acquired receiving signal at the BS on the uplink, and determining the signal-to-interference-and-noise ratio of the signal power at the receiving end of the D2D link according to the acquired receiving signal at the receiving end of the D2D; according to the signal-to-interference-and-noise ratio of the signal power of the cellular link and the receiving end of the D2D link, determining a closed expression of the average access number of the DUE to the cellular network under the condition that the priority of the CUE utilizing cellular spectrum resources is higher than that of the DUE; and determining the optimal DUE density for maximizing the average number of DUEs according to the determined closed expression of the average number of DUEs accessed to the cellular network, so that the maximum number of multiplexing DUEs accessed can be achieved by adjusting the density of DUEs, the problem of inconvenient interference derivation caused by setting an isolation area is avoided, and important reference can be provided for the actual cellular network resource allocation.
The premise of researching the DUE access cellular network in the embodiment of the invention is that the object allowing the DUE to multiplex the spectrum resource is a CUE which has acquired the spectrum resource and can successfully communicate under the orthogonal condition, so the successful transmission probability of the target cellular link is 100%; in addition, the invention researches the condition that the priority of the CUE utilizing the cellular spectrum resources is higher than that of the DUE, namely when the cellular link is interrupted DUE to the overlarge co-frequency interference, all the D2D links have to stop multiplexing the cellular spectrum resources; finally, in the embodiment of the present invention, in order to simplify the analysis, a scenario in which one CUE and a plurality of DUE pairs multiplex the same subchannel is studied.
In this embodiment, the spectrum resources of a single sub-channel may be allocated to a single CUE and a DUE with a certain density distribution, as shown in fig. 2, signal links represent communication links, interference links represent interference links, and uplink represents the analysis of the interference between links on the uplink of the cellular network. Without loss of generality, the present embodiment assumes a DUE in a circular single cell with a radius R and a Base Station (BS) as the centerDistribution obey density is lambdadPoisson point process model phi ofdTherefore, the convenience of mathematical derivation brought by the Poisson point process model can be fully utilized, the method is a means for effectively improving the performance of the heterogeneous network, the research is carried out based on the Poisson point process model, and the total throughput of the system can be optimized; in addition, assuming that the distance between each pair of DUEs is constant r, the transmission power of CUE and DUE is constant PcAnd Pd
In this embodiment, only the path loss based on the transmission distance and the fast fading based on the multipath transmission are considered, and the inter-cell interference is ignored. From this, a received signal at the BS on the uplink and a received signal at the D2D receiving end (D2D Receiver, DR) can be obtained as shown in equations (1) and (2), respectively:
wherein, ybRepresenting the received signal at the BS, yjDenotes a received signal at the jth D2D receiving end, alpha denotes a path loss exponent, xcb、xib、xcjAnd xijRespectively representing distances h between CUE and BS, between the ith DT (D2D Transmitter, D2D transmitting terminal) and BS, between CUE and the jth DR, and between the ith DT and the jth DRcb、hib、hcjAnd hijRespectively representing fast fading factors between CUE and BS, ith DT and BS, CUE and jth DR, ith DT and jth DR, hcb、hib、hcjAnd hijObey the distribution of CN (0,1), CN (0,1) represents a complex Gaussian distribution with a mean value of 0, statistically independent real and imaginary parts, and a variance of 0.5 each, scAnd siRespectively representing the CUE and the ith DT, wherein scAnd siSatisfy E { | sc|2}=E{|si|2}=1,E{|sc|2}、E{|si|2Denote the transmit signals of CUE and ith DT, respectivelyMean of the squares of the modes, N0Representing additive white Gaussian noise, P, at the receiving endc、PdRepresenting the transmit power of the CUE and the DUE, respectively.
From the above expression of the received signal, the signal to interference plus noise ratio of the cellular link and the signal to interference plus noise ratio of the signal power at the receiving end of the D2D link are respectively expressed by the following equations (3) and (4):
wherein, the SINRcRepresenting signal to interference plus noise ratio, SINR, of a cellular linkjRepresents the signal-to-interference-and-noise ratio, x, of the signal power at the jth D2D receiving end of the D2D linkjjDenotes the distance, h, between the jth DT and the jth DRjjRepresents the small-scale fading factor, sigma, of the channel from jth DT to jth DR2Representing additive white Gaussian noise power, phi, on a single sub-channeldDenotes DUE distribution obedience density is lambdadPoisson point process model of (1).
In this embodiment, σ2Can be expressed as sigma2Where N denotes the power spectral density of additive white gaussian noise and W denotes the subchannel spectral bandwidth.
In this embodiment, let γ be the signal to interference plus noise ratio threshold for cellular link and D2D link communications respectivelycAnd gammadOn the uplink of the circular single cell, the average coverage probability expression of cellular communication can be obtained based on the signal-to-interference-and-noise ratio expressions of cellular link and D2D link receiving end signal power without considering the priority of the CUE, and is shown as formula (7):
in equation (7), P { SINRccIndicates the probability that the SINR of the cellular link is greater than the threshold regardless of the CUE priorityRate, i.e., probability of successful transmission of the cellular link; e [ P { SINR ]cc}]Indicating the average successful transmission probability of the cellular link without considering the CUE priority.
The average coverage probability expression for D2D communication without consideration of the CUE priority is also obtained as equation (8):
in the formula (8), the reaction mixture is,indicates when j belongs to the set phidWhen the temperature of the water is higher than the set temperature,average value of (a). By using approximation formulasFormula (9) can be obtained:
in the formula (9), the reaction mixture is,
secondly, the expression of the cellular communication average coverage probability considering the CUE priority is derived as the expression (10-a):
in the formula (10-a), the metal salt,indicating the probability of successful transmission of the cellular link in multiplexing mode without considering the CUE priority,representing the average successful transmission probability of the cellular link in multiplexing mode without considering the CUE priority,indicating the probability of successful transmission of the cellular link in orthogonal mode without considering the priority of the CUE,indicating the average successful transmission probability of the cellular chain in the orthogonal mode without considering the CUE priority. Similarly, the D2D communication mean coverage probability expression in consideration of DUE priority is derived as equation (10-b):
in the formula (10-b), the alkyl group,indicating the probability of successful transmission of the jth D2D link in multiplexing mode without considering the CUE priority,indicating the average successful transmission probability of the jth D2D link in multiplexing mode without considering the CUE priority,indicating the successful transmission probability of the jth D2D link in the orthogonal mode without considering the priority of the CUE,indicating the average successful transmission probability of the jth D2D link in the orthogonal mode without considering the priority of the CUE. Will be that in formula (10-b)Is approximated toThis approximation isThe nonuniformity of the CUE distribution is disregarded when analyzing the interference experienced by the D2D link. Because the CUEs can normally communicate before multiplexing spectrum resources to the DUEs, the CUEs closer to the base station have short transmission distance, small path loss and high possibility of successful transmission of links, so the CUEs successfully accessing the network are not completely and uniformly distributed in the cell. Of course, when cell edge users can successfully access the network with a probability close to 1 under a given transmission power condition, the CUEs can be regarded as being uniformly distributed in the cell. As can be seen from fig. 3, in general, the difference between the theoretical curve and the simulation curve is small, and the optimal DUE density obtained from the theoretical result can be used as a reference for actual network planning, in fig. 3, the horizontal axis represents the density of the DUE, the vertical axis represents the average access number of the DUE, γ represents the signal-to-interference-and-noise ratio threshold of the CUE (or DUE), the simulated result represents the simulation result, and the theoretical result represents the result.
Substituting the expression of (10-b) into the expression that can obtain the D2D communication average coverage probability is:
will be provided withAndsubstitution into formula (11) gives formula (12):
in the formula (12), the reaction mixture is,closed-form expression representing average number of accesses of a DUE to cellular network in case that the priority of the CUE to utilize cellular spectrum resources is higher than the DUEFormula (I);indicating the D2D communication average coverage probability in case that the priority of the CUE utilizing the cellular spectrum resource is higher than the DUE; r represents the radius of a circular cell centered on the base station; erf (·) represents an error function; r represents the distance between each pair of DUEs; gamma rayc、γdRespectively, representing the signal to interference and noise ratio thresholds for cellular link and D2D link communications.
Based on equation (12), the closed expression for obtaining the average access number of the DUE to access to the cellular network is:
in the formula (13), the reaction mixture is,
then, deriveAbout lambdadThe first partial derivative of
The zero point of the first derivative obtained according to equation (14) isConsider b>0,c>0, can giveAccordingly, it is possible to obtain:
then, deriveAbout lambdadSecond derivative of (2), as shown in equation (16)
Derived from the formula (16)Is the second derivative zero ofLikewise, one can obtain:
through the above series of derivation, it can be obtained that the optimal DUE density for maximizing the average access number of DUE is:
therefore, the maximum multiplexing DUE access number can be achieved by adjusting the density of the DUEs on the premise of ensuring that the signal-to-interference-and-noise ratio of the cellular link reaches the minimum threshold value.
As can be seen from fig. 4, when the ratio of the signal to interference plus noise ratio threshold of the CUE to the transmission power is different, the optimal CUE density for achieving the maximum CUE average access number is dynamically changed, and is neither larger nor smaller, the better, and needs to be reasonably adjusted, in fig. 4, the horizontal axis represents the ratio of the signal to interference plus noise ratio threshold of the CUE to the transmission power, the vertical axis represents the average access number of the CUE, and λ represents the ratio of the signal to interference plus noise ratio threshold of the CUE to the transmission powerdRepresenting the distribution density of the DUE, the curves in fig. 4 are all theoretical results. Similarly, in fig. 5, similar conclusions can be drawn when the ratio of the signal-to-interference-and-noise ratio threshold of the DUE to the transmit power takes different values, and in fig. 5, the horizontal axis represents the signal-to-interference-and-noise ratio threshold of the DUERatio to transmit power, with the vertical axis representing the average number of accesses of DUE, λdRepresenting the distribution density of the DUE, the curves in fig. 5 are all theoretical results.
As can be seen from fig. 6, when the transmit power ratio of the CUE and the DUE takes different values, the average access number of the DUE also changes dynamically with the density of the DUE, and it is necessary to set a reasonable density of the DUE. In the determination of the DUE density, the DUE is also dynamically changed according to the power ratio of the CUE to the DUE, and the optimal performance needs to be achieved by performing appropriate power control, in fig. 6, the horizontal axis represents the ratio of the transmission power of the CUE to the transmission power of the CUE, the vertical axis represents the average access number of the CUE, λdRepresenting the distribution density of the DUE, the curves in fig. 6 are all theoretical results.
In the embodiment, under the condition that the priority of the cellular spectrum resources used by the CUE is higher than that of the DUE, the closed expression of the average access number of the DUE to the cellular network is considered, a theoretical curve drawn by the closed expression can almost completely fit a simulation curve drawn according to a simulation traversal average value, and the error can be controlled within 8%. In addition, a closed-form solution of the optimal DUE density is deduced according to a closed-form expression of the average access number of the DUEs to the cellular network, and an important reference can be provided for the actual cellular network to allocate resources.
It is noted that, herein, relational terms such as first and second, and the like may be used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions.
While the foregoing is directed to the preferred embodiment of the present invention, it will be understood by those skilled in the art that various changes and modifications may be made without departing from the spirit and scope of the invention as defined in the appended claims.

Claims (4)

1. A DUE average access number optimization method is characterized by comprising the following steps:
respectively acquiring received signals at a BS (base station) position and a D2D receiving end on an uplink of a cellular network based on a scene that a CUE and a plurality of DUE pairs multiplex the same sub-channel, wherein the premise of accessing the cellular network by the DUE is that the DUE is allowed to multiplex the spectrum resource is a CUE which has acquired the spectrum resource and can successfully communicate under the orthogonal condition, the CUE represents cellular user equipment, the DUE represents D2D user equipment, the BS represents a base station, and the D2D represents end-to-end;
determining the signal-to-interference-and-noise ratio of a cellular link according to the acquired receiving signal at the BS on the uplink, and determining the signal-to-interference-and-noise ratio of the signal power at the receiving end of the D2D link according to the acquired receiving signal at the receiving end of the D2D;
according to the signal-to-interference-and-noise ratio of the signal power of the cellular link and the receiving end of the D2D link, determining a closed expression of the average access number of the DUE to the cellular network under the condition that the priority of the CUE utilizing cellular spectrum resources is higher than that of the DUE;
determining an optimal DUE density maximizing the average number of DUEs accessed to the cellular network according to the determined closed expression of the average number of DUEs accessed to the cellular network;
wherein the received signal at the BS is represented as:
the received signal at the receiving end of D2D is represented as:
wherein, ybRepresenting the received signal at the BS, yjDenotes a received signal at the jth D2D receiving end, alpha denotes a path loss exponent, xcb、xib、xcjAnd xijRespectively showing the distances h between the CUE and the BS, the ith D2D transmitting end and the BS, the CUE and the jth D2D receiving end, the ith D2D transmitting end and the jth D2D receiving endcb、hib、hcjAnd hijRespectively showing fast fading factors between the CUE and the BS, the ith D2D transmitting terminal and the BS, the CUE and the jth D2D receiving terminal, the ith D2D transmitting terminal and the jth D2D receiving terminalSeed, Pc、PdRepresenting the transmit powers, s, of CUE and DUE, respectivelycAnd siRespectively representing the transmitting signals of the CUE and the ith D2D transmitting terminal, N0Representing additive white Gaussian noise of a receiving end;
wherein the signal-to-interference-and-noise ratio of the cellular link is represented as:
the signal-to-interference-and-noise ratio of the signal power at the receiving end of the D2D link is expressed as:
wherein, the SINRcRepresenting signal to interference plus noise ratio, SINR, of a cellular linkjRepresents the signal-to-interference-and-noise ratio, x, of the signal power at the jth D2D receiving end of the D2D linkjjRepresents the distance h from the jth D2D transmitting end to the jth D2D receiving endjjRepresents the small-scale fading factor, sigma, of the channel from the jth D2D transmitting end to the jth D2D receiving end2Representing additive white Gaussian noise power, phi, on a single sub-channeldDenotes DUE distribution obedience density is lambdadThe poisson point process model of (a);
wherein, in the case that the priority of the CUE utilizing the cellular spectrum resources is higher than the DUE, the closed expression of the average access number of the DUE accessing the cellular network is expressed as:
wherein,a closed form expression representing an average number of accesses by the DUE to the cellular network in a case where the priority of the use of the cellular spectrum resources by the CUE is higher than the DUE;indicating the D2D communication average coverage probability in case that the priority of the CUE utilizing the cellular spectrum resource is higher than the DUE; r represents the radius of a circular cell centered on the base station; erf (·) represents an error function; r represents the distance between each pair of DUEs; gamma rayc、γdRespectively, representing the signal to interference and noise ratio thresholds for cellular link and D2D link communications.
2. The DUE average access number optimization method of claim 1, wherein σ is2Expressed as: sigma2=NW;
Where N represents the power spectral density of additive white gaussian noise and W represents the sub-channel spectral bandwidth.
3. The DUE average access number optimization method of claim 1, wherein the DUE average access number optimization method is characterized in thatExpressed as:
4. the DUE average access number optimization method of claim 1, wherein the optimal DUE density to maximize the DUE average access number is:
wherein,representing the optimal DUE density that maximizes the average number of accesses to the DUE.
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