CN107872781A - A kind of average access number optimization methods of DUE - Google Patents

A kind of average access number optimization methods of DUE Download PDF

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CN107872781A
CN107872781A CN201711089421.6A CN201711089421A CN107872781A CN 107872781 A CN107872781 A CN 107872781A CN 201711089421 A CN201711089421 A CN 201711089421A CN 107872781 A CN107872781 A CN 107872781A
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signal
cue
cellular
link
receiving end
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CN107872781B (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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University of Science and Technology Beijing USTB
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W48/00—Access restriction; Network selection; Access point selection
    • H04W48/16—Discovering, processing access restriction or access information
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W28/00—Network traffic management; Network resource management
    • H04W28/02—Traffic management, e.g. flow control or congestion control
    • H04W28/06—Optimizing the usage of the radio link, e.g. header compression, information sizing, discarding information
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W48/00—Access restriction; Network selection; Access point selection
    • H04W48/02—Access restriction performed under specific conditions
    • H04W48/06—Access restriction performed under specific conditions based on traffic conditions

Abstract

The present invention provides a kind of average access number optimization methods of DUE, and the purpose of maximum multiplexing DUE access numbers can be reached by adjusting DUE density.Methods described includes：Scene based on a CUE and multiple DUE to the same subchannel of multiplexing, the reception signal in cellular network up-link at BS and at D2D receiving terminals is obtained respectively；According to the reception signal in the up-link of acquisition at BS, the Signal to Interference plus Noise Ratio of cellular link is determined, and according to the reception signal at the D2D receiving terminals of acquisition, determine the Signal to Interference plus Noise Ratio of D2D link receiving end signal power；According to obtained cellular link and the Signal to Interference plus Noise Ratio of D2D link receiving end signal power, it is determined that in the case where CUE is higher than DUE using the priority of cellular frequency spectrum resource, the closed expression of the average access number of DUE access cellular networks；The closed expression of the average access number of cellular network is accessed according to the DUE of determination, it is determined that maximizing the optimal DUE density of the average access numbers of DUE.The present invention relates to wireless communication field.

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. D2D User Equipment (D2D User Equipment, DUE) can transmit data by multiplexing cellular resources when the spectrum resources in the cell are not sufficient, but 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 that the DUE is accessed into the cellular network is that the DUE is allowed to multiplex the spectrum resource is the 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 link;
according to the signal-to-interference-and-noise ratio of the signal power of the cellular link and the D2D link receiving end, 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 D2D receiving end is represented as:
wherein, y b Representing the received signal at the BS, y j Denotes the received signal at the jth D2D receiver, α denotes the path loss exponent, x cb 、x ib 、x cj And x ij Respectively representing distances between a CUE and a BS, between an ith D2D transmitting end and the BS, between the CUE and a jth D2D receiving end, between the ith D2D transmitting end and the jth D2D receiving end, and between h cb 、h ib 、h cj And h ij Respectively representing fast fading factors P and P between the CUE and the BS, the ith D2D transmitting end and the BS, the CUE and the jth D2D receiving end, and the ith D2D transmitting end and the jth D2D receiving end c 、P d Representing the transmit powers, s, of CUE and DUE, respectively c And s i Respectively representing the transmitting signals of the CUE and the ith D2D transmitting terminal, N 0 Indicating 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 follows:
wherein, the SINR c Representing the signal to interference plus noise ratio, SINR, of a cellular link j Representing the signal-to-interference-and-noise ratio, x, of the jth D2D receiving end signal power of the D2D link jj Represents the distance between the jth D2D transmitting end and the jth D2D receiving end, h jj Represents the small-scale fading factor, sigma, of the channel from the jth D2D transmitting end to the jth D2D receiving end 2 Representing additive white Gaussian noise power, phi, on a single sub-channel d Denotes DUE distribution obedience density is lambda d Poisson point process model of (1).
Further, the σ 2 Expressed as: sigma 2 ＝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, the first and the second end of the pipe are connected with each other,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 average coverage probability of D2D communication in the case that the CUE utilizes cellular spectrum resources with higher priority than the DUE; r represents the radius of a circular cell centered on the base station; erf (·)) Representing an error function; r represents the distance between each pair of DUEs; gamma ray c 、γ d Respectively, 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, the first and the second end of the pipe are connected with each other,representing the optimal DUE density that maximizes the average number of accesses of the DUE.
The technical scheme of the invention has the following beneficial effects:
in the scheme, based on a scenario that one CUE and a plurality of DUE pairs multiplex the same sub-channel, receiving signals at a BS and a D2D receiving end on an uplink of a cellular network are respectively obtained; 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 link; according to the signal-to-interference-and-noise ratio of the signal power of the cellular link and the D2D link receiving end, 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.
Drawings
Fig. 1 is a flowchart illustrating a method for optimizing the mean number of access to 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 theoretical curve diagram illustrating the variation of the average access number of DUE with the ratio of the transmission power of the DUE to the CUE and the CUE under different density of the DUE according to the embodiment of the present invention.
Detailed Description
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 DUE to the fact that the existing isolation area is arranged, DUE distribution is not uniform, and interference derivation is not facilitated.
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 (base station) and a D2D (device-to-device) receiving end on an uplink of a cellular network, wherein the premise that the DUE is accessed into the cellular network 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 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 D2D receiving end;
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 ratios of the cellular link and the D2D link receiving end signal powers;
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 link; according to the signal-to-interference-and-noise ratio of the signal power of the cellular link and the D2D link receiving end, 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 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 situation of interference between links analyzed on an uplink of a cellular network. Without loss of generality, this embodiment assumes that, in a circular single cell with radius R and Base Station (BS) as the center, the DUE distribution obeys a density of λ d Poisson point process model of (phi) d Therefore, 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 P c And P d 。
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 and a received signal at the D2D Receiver (DR) on the uplink can be obtained, which are respectively expressed by equations (1) and (2):
wherein, y b Representing the received signal at the BS, y j Denotes the received signal at the jth D2D receiver, α denotes the path loss exponent, x cb 、x ib 、x cj And x ij Respectively representing distances h between CUE and BS, between the ith DT (D2D Transmitter ) and BS, between CUE and the jth DR, and between the ith DT and the jth DR cb 、h ib 、h cj And h ij Respectively representing fast fading factors between CUE and BS, ith DT and BS, CUE and jth DR, ith DT and jth DR, h cb 、h ib 、h cj And h ij All obey the distribution of CN (0, 1), CN (0, 1) representing a complex Gaussian distribution with mean 0, real-imaginary statistical independence and variances of 0.5 each, s c And s i Respectively representing the CUE and the ith DT, wherein s c And s i Satisfy E { | s c | 2 }＝E{|s i | 2 }＝1，E{|s c | 2 }、E{|s i | 2 Denotes the mean of the squares of the modes of the transmit signals of the CUE and the ith DT, N, respectively 0 Representing additive white Gaussian noise, P, at the receiving end c 、P d Representing the transmit power of the CUE and DUE, respectively.
The signal-to-interference-and-noise ratio of the cellular link and the signal-to-interference-and-noise ratio of the signal power at the receiving end of the D2D link can be obtained by the expression of the received signal, and are respectively expressed by the following formulas (3) and (4):
wherein, the SINR c Representing the signal to interference plus noise ratio, SINR, of a cellular link j Representing the signal-to-interference-and-noise ratio, x, of the jth D2D receiving end signal power of the D2D link jj Denotes the distance, h, between the jth DT and the jth DR jj Denotes the j (th)Small scale fading factor, σ, of the channels between DT and jth DR 2 Representing the additive white Gaussian noise power, phi, on a single sub-channel d Denotes DUE distribution obedience density is lambda d Poisson point process model of (1).
In this embodiment, σ 2 Can be expressed as sigma 2 = NW, where N denotes the power spectral density of additive white gaussian noise and W denotes the sub-channel spectral bandwidth.
In this embodiment, it is assumed that the sir thresholds for the cellular link and the D2D link communication are γ respectively c And gamma d On the uplink of the circular single cell, under the condition of not considering the priority of the CUE, based on the signal to interference and noise ratio expressions of the signal power of the receiving ends of the cellular link and the D2D link, the average coverage probability expression of cellular communication can be obtained as an expression (7):
in equation (7), P { SINR c >γ c Expressing the probability that the signal to interference plus noise ratio of the cellular link is larger than the threshold value under the condition of not considering the CUE priority, namely the successful transmission probability of the cellular link; e [ P { SINR ] c >γ c }]Indicating the average successful transmission probability of the cellular link without considering the CUE priority.
The average coverage probability expression of D2D communication without considering the CUE priority is also obtained as equation (8):
in the formula (8), the reaction mixture is,indicates when j belongs to the set phi d When the utility model is used, the water is discharged,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 CUE priority,indicating the average successful transmission probability of the cellular chain in orthogonal mode without considering the CUE priority. Similarly, the D2D communication average coverage probability expression in consideration of the 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 a multiplexing mode without considering the priority of the CUE,represents the average successful transmission probability of the jth D2D link in the multiplexing mode without considering the priority of the CUE,indicating the successful transmission probability of the jth D2D link in the orthogonal mode without considering the priority of the CUE,represents the average successful transmission probability of the jth D2D link in the orthogonal mode without considering the CUE priority. Will be that in formula (10-b)Is approximately asThis approximation is to disregard the non-uniformity of the CUE distribution 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 the 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), and the normalized tableThe simulation results are shown, and the theoretical results are shown by the theological.
Substituting the expression of (10-b) into the expression which can obtain the D2D communication average coverage probability is as follows:
will be provided withAndsubstitution into formula (11) gives formula (12):
in the formula (12), the reaction mixture is,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 average coverage probability of D2D communication in the case that the CUE utilizes cellular spectrum resources with higher priority 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 ray c 、γ d Respectively representing the signal to interference plus 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 lambda d The first partial derivative of
The zero point of the first derivative is obtained according to equation (14)Consider b>0，c&gt, 0, can obtainAccordingly, it is possible to obtain:
then, deriveAbout lambda d Second derivative of (2), as shown in equation (16)
Derived from the formula (16)Is the second derivative zero ofLikewise, it is possible to 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 power d Representing 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 to the transmit power of the DUE takes different values, and in fig. 5, the horizontal axis represents the ratio of the signal-to-interference-and-noise ratio threshold to the transmit power of the DUE, and the vertical axis represents the average access number of the DUE, λ d Representing the distribution density of the DUE, the curves in fig. 5 are all theoretical results.
As can be seen from fig. 6, when the transmission power ratio between the CUE and the DUE takes different values, the average number of accesses of the DUE also changes dynamically with the density of the DUE, and it is necessary to set a reasonable density of the DUE. DUE is also dynamically changed with the ratio of CUE to DUE power in DUE density determination, and needs to be performedThe best performance can be achieved by proper power control, in fig. 6, the horizontal axis represents the ratio of the transmission power of the DUE to the CUE, the vertical axis represents the average access number of the DUE, and λ d Representing 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 CUE utilizing the cellular spectrum resources 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 (7)

1. A DUE average access number optimization method is characterized by comprising the following steps:
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 (base station) and a D2D (device-to-device) 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;
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 link;
according to the signal-to-interference-and-noise ratios of the signal powers of the cellular link and the D2D link receiving end, 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.
2. The method of DUE average access number optimization according to claim 1, wherein the received signal at the BS is represented as:
the received signal at the D2D receiving end is represented as:
wherein, y b Representing the received signal at the BS, y j Denotes a received signal at the jth D2D receiving end, alpha denotes a path loss exponent, x cb 、x ib 、x cj And x ij Respectively representing the distances h between the CUE and the BS, between the ith D2D transmitting end and the BS, between the CUE and the jth D2D receiving end, between the ith D2D transmitting end and the jth D2D receiving end cb 、h ib 、h cj And h ij Respectively 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, and the ith D2D transmitting end and the jth D2D receiving end c 、P d Representing the transmission power, s, of the CUE and DUE, respectively c And s i Respectively representing the transmitting signals of the CUE and the ith D2D transmitting terminal, N 0 Representing additive white gaussian noise at the receiving end.
3. The method of DUE average access number optimization according to claim 2, 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 SINR c Representing the signal to interference plus noise ratio, SINR, of a cellular link j Representing the signal-to-interference-and-noise ratio, x, of the jth D2D receiving end signal power of the D2D link jj Represents the distance h from the jth D2D transmitting terminal to the jth D2D receiving terminal jj Represents the small-scale fading factor, sigma, of the channel from the jth D2D transmitting end to the jth D2D receiving end 2 Representing additive white Gaussian noise power, phi, on a single sub-channel d Denotes DUE distribution obedience density is lambda d Poisson point process model of (1).
4. The DUE average access number optimization method of claim 3, wherein σ is 2 Expressed as: sigma 2 ＝NW；
Where N represents the power spectral density of additive white gaussian noise and W represents the sub-channel spectral bandwidth.
5. The DUE average access number optimization method according to claim 3, wherein in case that the CUE uses cellular spectrum resources with higher priority than the DUE, the closed expression of the average access number of the DUE to the cellular network is represented as:
wherein, the first and the second end of the pipe are connected with each other,a closed form expression representing an average number of accesses by the DUE to the cellular network in a case where a priority of the CUE to use the cellular spectrum resource is higher than the DUE;indicating the average coverage probability of the D2D communication under the condition that the priority of the CUE utilizing the cellular spectrum resources 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 ray c 、γ d Respectively, representing the signal to interference and noise ratio thresholds for cellular link and D2D link communications.
6. The DUE average access number optimization method of claim 5, wherein the DUE average access number optimization method is characterized in thatExpressed as:
7. the DUE average access number optimization method of claim 5, wherein the optimal DUE density to maximize the DUE average access number is:
wherein the content of the first and second substances,representing the optimal DUE density that maximizes the average number of accesses of the DUE.
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