CN111314894B - NOMA (non-oriented access memory) and energy-carrying D2D fusion network-oriented robust resource allocation method - Google Patents
NOMA (non-oriented access memory) and energy-carrying D2D fusion network-oriented robust resource allocation method Download PDFInfo
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- H04W4/00—Services specially adapted for wireless communication networks; Facilities therefor
- H04W4/70—Services for machine-to-machine communication [M2M] or machine type communication [MTC]
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- H04B17/309—Measuring or estimating channel quality parameters
- H04B17/336—Signal-to-interference ratio [SIR] or carrier-to-interference ratio [CIR]
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- H04W72/50—Allocation or scheduling criteria for wireless resources
- H04W72/53—Allocation or scheduling criteria for wireless resources based on regulatory allocation policies
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- H—ELECTRICITY
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- Y02D30/00—Reducing energy consumption in communication networks
- Y02D30/70—Reducing energy consumption in communication networks in wireless communication networks
Abstract
The invention relates to a NOMA (non-orthogonal multiple access) and energy-carrying D2D fusion network-oriented robust resource allocation method, belonging to the technical field of communication. The method comprises the following steps: and constructing a NOMA-oriented and energy-carrying D2D fusion network. The cellular users adopt downlink NOMA transmission to realize that a plurality of users multiplex the same resource block; the D2D user is provided with an energy collecting circuit and adopts a substrate type spectrum access mode. And (4) establishing a resource allocation optimization problem with the total energy efficiency of the system as the maximum objective function by considering a random channel uncertainty model. And the power split ratio, the resource block allocation factor and the transmitting power are jointly optimized, so that the communication quality of a cellular user is ensured, and the energy efficiency of the system is maximized. Experimental results show that the method has high system energy efficiency and good robustness.
Description
Technical Field
The invention belongs to the technical field of communication, and relates to a NOMA (non-oriented access MA) and energy-carrying D2D fusion network-oriented robust resource allocation method.
Background
With the rapid development of communication technology, available spectrum resources are less and less, the load of energy consumption is increased by the access of massive terminal equipment, and a base station also has a serious overload problem when meeting the rapidly-increasing network capacity requirement. Therefore, how to improve the spectrum utilization and energy efficiency and reduce the base station load becomes an important development direction of the 5G communication technology. In order to solve these problems, Non-Orthogonal Multiple Access (NOMA) and Wireless portable (SWIPT) technologies have come into use, on one hand, the Non-Orthogonal Multiple Access technology can allow Multiple users to share the same frequency and time resources through multiplexing of a Power domain, so that the frequency spectrum utilization rate and the number of the Access users are increased, and on the other hand, the Wireless portable technology can charge a mobile device by using energy carried by radio frequency signals, so that parallel transmission of data and energy is realized, the energy efficiency is increased, and the service life of a device battery is prolonged. In addition, the D2D (Device to Device) technology can realize direct data transmission between two peer user nodes, that is, point-to-point transmission, thereby saving spectrum resources and reducing the load of the base station.
Most of the existing research only considers the resource allocation problem of the NOMA-based D2D communication network under perfect channel state information. However, in an actual wireless communication network, it is difficult to acquire perfect channel state information due to system delay and quantization error. When the channel estimation error is large, it is difficult to ensure the service quality of the user, and further research is needed.
Disclosure of Invention
In view of this, the present invention provides a robust resource allocation method for a NOMA and energy-carrying D2D converged network, which ensures the service quality of cellular users and maximizes the energy efficiency of D2D users.
In order to achieve the purpose, the invention provides the following technical scheme:
a NOMA and energy-carrying D2D fusion network-oriented robust resource allocation method comprises the following steps:
in a NOMA-based and energy-carrying D2D converged network, the NOMA-based and energy-carrying D2D converged network comprises a macro base station, M cellular users and N pairs of D2D users, wherein the base station carries out data transmission with the cellular users through K resource blocks, the D2D users are provided with an energy collection circuit, and the cellular users adopt NOMA technology;
considering the downlink transmission scenario, multiple cellular users multiplex the same resource block, assuming that the channel gain is satisfiedThe serial interference elimination is utilized, the interference is eliminated in sequence according to the increasing sequence of the channel gain, the co-channel interference is reduced, and a D2D user adopts substrate access to cause interference to users occupying the same resource block; the data rate for the ith cellular user is as follows:
wherein the content of the first and second substances,transmitting power, M, allocated to cellular user i by base station through resource block kkIs the number of cellular users on resource block k,for the channel gain on resource block k for base station to cell user i,channel gain on resource block k for D2D user n to cellular user i;allocating a factor to resource blocks of D2D users whenIndicating that D2D user n occupies resource block k, otherwiseFor the transmit power, σ, of D2D user n on resource block k2Is the background noise power of the receiver;
to perform successive interference cancellation, the interference of user j with poor channel gain conditions is cancelled,the signal to interference plus noise ratio of user i to decode user j signal is described as:
wherein the content of the first and second substances,allocating the transmitting power of a cellular user j to a base station through a resource block k;
when the user j decodes the signal, the signal-to-interference-and-noise ratio is:
suppose that the k-th resource block is multiplexed by the D2D user n and the cellular user, and the signal-to-interference-and-noise ratio is:
wherein the content of the first and second substances,is the proportionality coefficient of the information signal in the signal power,the channel gain for D2D user n on resource block k,for the channel gain on resource block k for base station to D2D user n,channel gain on resource block k for D2D user n to cellular user i;
considering wireless energy carrying technology, the D2D receiver can collect energy from the surrounding radio frequency environment, and the energy collected by the nth D2D user is represented as:
wherein the content of the first and second substances,is the proportionality coefficient of the energy signal in the signal power, theta is the energy collection efficiency coefficient;
the energy efficiency of each D2D user was:
optionally, in the NOMA-oriented and energy-carrying D2D-oriented fusion network, channel gain in an imperfect channel state is considered, and channel uncertainty is modeled as an additive model:
wherein the content of the first and second substances,in order to achieve the gain of the rayleigh fading channel,andfor the purpose of the channel gain estimation,andan estimation error that is a channel gain;
the channel gain is modeled as:
wherein L ═ d-vIs the path loss coefficient; d is the distance of the channel and v is the path loss exponent;
when the actual achievable data rate is less than the expected data rate, a communication disruption will be generated; the estimated data rate and the achievable maximum data rate for the D2D user are:
wherein the content of the first and second substances,estimated signal-to-interference-and-noise ratios and the maximum achievable signal-to-interference-and-noise ratio are respectively;
the average interrupt rate sum for the D2D user is expressed as:
wherein Pr [ ] represents the probability that the D2D user estimates that the data rate is less than or equal to the maximum achievable data rate;
establishing an energy efficiency maximum optimization problem containing the interruption probability:
wherein the content of the first and second substances,is the minimum data rate of cellular user i, tau is the outage probability threshold, PmaxIs the maximum transmit power of the base station,the maximum transmit power for D2D user n.
Optionally, in the energy efficiency maximum optimization problem, the probabilistic constraint problem is converted into a non-probabilistic problem, and the data rate of the D2D user n is obtained as follows:
wherein the content of the first and second substances,in order to be a coefficient of the path loss,is Rayleigh fading channel gain, andis a non-central chi-square distribution with a degree of freedom of 2,as an inverse cumulative distribution function of the chi-squared distribution,
the average interrupt rate sum is expressed as:
the energy efficiency optimization problem is converted into:
wherein, the first and the second end of the pipe are connected with each other,the energy collected for the nth D2D receiver under consideration of channel parameter uncertainty.
Optionally, in the energy efficiency optimization problem, a fractional objective function is converted into a subtraction form by using a Dinkelbach method, an intermediate variable η is introduced, and the objective function is equivalent to:
due to the objective function with the transmitted power of the cellular userIs monotonically decreased, in order to ensure the service quality of the cellular users and maximize the energy efficiency, the optimal transmission power of the cellular users satisfies:
simplifying constraint conditions to obtain the problem of maximum energy efficiency optimization:
optimization questionsQuestions contain integer variablesWill be provided withRelaxation is in the interval [0,1]Above continuous variable, defineAnd performing variable substitution on the coupling variable to defineObtaining:
the problem constraint is linear, the objective function is a concave function, and the problem constraint is a typical convex optimization problem.
Optionally, for the convex optimization problem, an analytic solution is obtained by using a lagrangian dual theory, and an optimized variable is iteratively updated by a gradient descent method to obtain an optimal resource allocation strategy;
wherein, the first and the second end of the pipe are connected with each other,is a lagrange multiplier;
wherein the content of the first and second substances,χk,psi is the Lagrange multiplier, epsilonxAn iteration step size not less than zero;
(e) When in useAfter the iteration obtains the convergence value, updatingReturning to the step (a) until the following conditions are met:
At this time, an optimal allocation strategy of resource blocks, power and signal power split ratios is obtained.
The invention has the beneficial effects that: the invention establishes a NOMA-based wireless energy-carrying D2D network robust energy efficiency resource allocation model. The method is characterized in that the energy efficiency of a D2D user is maximized, the communication quality of a cellular user is guaranteed, meanwhile, the influence of channel uncertainty is considered, a robust resource allocation model based on the interrupt probability is established, the probability constraint problem is converted into a non-probability problem by using a Markov inequality and a relaxation method, the original NP-hard problem is converted into a deterministic convex optimization problem based on a Dinkelbach and variable replacement method, and the analytic solution is obtained by using a Lagrangian duality theory.
Additional advantages, objects, and features of the invention will be set forth in part in the description which follows and in part will become apparent to those having ordinary skill in the art upon examination of the following or may be learned from practice of the invention. The objectives and other advantages of the invention may be realized and attained by the means of the instrumentalities and combinations particularly pointed out hereinafter.
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For a better understanding of the objects, aspects and advantages of the present invention, reference will now be made to the following detailed description taken in conjunction with the accompanying drawings in which:
FIG. 1 is a system model of an embodiment of the present invention;
FIG. 2 is a flow chart of the solution of the present invention;
FIG. 3 is a graph of total energy efficiency of the system versus the number of D2D users under different algorithms;
fig. 4 is a graph of the equation for the probability of outage for D2D user versus channel estimation error under different algorithms.
Detailed Description
The embodiments of the present invention are described below with reference to specific embodiments, and other advantages and effects of the present invention will be easily understood by those skilled in the art from the disclosure of the present specification. The invention is capable of other and different embodiments and of being practiced or of being carried out in various ways, and its several details are capable of modification in various respects, all without departing from the spirit and scope of the present invention. It should be noted that the drawings provided in the following embodiments are only for illustrating the basic idea of the present invention in a schematic way, and the features in the following embodiments and examples may be combined with each other without conflict.
Wherein the showings are for the purpose of illustrating the invention only and not for the purpose of limiting the same, and in which there is shown by way of illustration only and not in the drawings in which there is no intention to limit the invention thereto; to better illustrate the embodiments of the present invention, some parts of the drawings may be omitted, enlarged or reduced, and do not represent the size of an actual product; it will be understood by those skilled in the art that certain well-known structures in the drawings and descriptions thereof may be omitted.
The same or similar reference numerals in the drawings of the embodiments of the present invention correspond to the same or similar components; in the description of the present invention, it should be understood that if there is an orientation or positional relationship indicated by the terms "upper", "lower", "left", "right", "front", "rear", etc., based on the orientation or positional relationship shown in the drawings, it is only for convenience of description and simplification of description, but it is not intended to indicate or imply that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore the terms describing the positional relationship in the drawings are only used for illustrative purposes and are not to be construed as limiting the present invention, and the specific meaning of the terms described above will be understood by those skilled in the art according to the specific circumstances.
As shown in fig. 1 to fig. 2, the present invention provides a robust resource allocation method for a NOMA and energy-carrying D2D converged network, including:
step 1: a NOMA-based wireless energy-carrying D2D communication system is constructed, wherein a D2D user adopts substrate access, and each D2D receiver is provided with an energy collecting circuit which can collect energy from the surrounding radio frequency environment. The cellular users adopt non-orthogonal multiple access, a plurality of cellular users multiplex the same resource block, and utilize the serial interference elimination technology to eliminate the interference in sequence according to the ascending order of the channel gain. To improve the energy efficiency of D2D users, considering the quality of service of cellular users, the maximum transmit power of the base station and the uncertainty of channel parameters, the optimization problem is established as follows:
and the maximum energy efficiency of the system is obtained by jointly optimizing the transmission power of the cellular user, the transmission power of the D2D user, the resource block allocation factor and the signal power split ratio.
And 2, step: in the above optimization problem, C3The outage probability constraint for the D2D user, the outage probability threshold is τ, which will result when the maximum data rate that can actually be achieved is less than the expected data rate. For the convenience of solving, the probability constraint in the optimization problem needs to be converted into a non-probability constraint.
The estimated data rate and the achievable maximum data rate for the D2D user are:
wherein the content of the first and second substances,respectively the estimated and the maximally attainable signal to interference and noise ratios,are auxiliary variables, respectively expressed as:
wherein the content of the first and second substances,is an estimate of the gain of the channel,is the actual channel gain
For C3It can be converted into:
using the chi-square distribution and the markov inequality to obtain:
from the above derivation, the sum of the data rate of D2D user n and the average outage rate of the system can be expressed as:
and substituting the average interrupt rate into the maximum energy efficiency optimization problem to obtain a new optimization problem without probability constraint conditions:
and step 3: the optimization problem is a mixed integer type fractional programming problem, a series of conversion and simplification are considered to be carried out on the optimization problem, and a fractional objective function is converted into an equivalent subtractive form according to a Dinkelbach method, and the equation is expressed as follows:
constraint on decoding C1The method is simplified to obtain:
due to the fact thatWhen in useWhen the constraint is satisfied, the constraint condition is written as:
suppose D2D user n multiplexes resource block k with cellular user i. Namely, it isWill constrain C2Writing
due to the following of the objective functionMonotonically decreases, and the cellular subscriber has an optimum transmit power in order to guarantee the quality of service and maximize the energy efficiency of the cellular subscriberMust satisfy
For integer variablesRelax it to the interval [0,1 ]]Above continuous variable, defineAnd performing variable substitution on the coupling variable to defineTo sum up, the optimization problem can be written as:
and 4, step 4: for the convex optimization problem, an analytic solution is obtained by utilizing a Lagrange dual theory, and an optimized variable is iteratively updated by a gradient descent method to obtain an optimal resource allocation strategy.
wherein, the first and the second end of the pipe are connected with each other,is a lagrange multiplier.
wherein the content of the first and second substances,χk,psi is the lagrange multiplier,εxis an iteration step size not less than zero.
(e) Updating when the iteration has a converged valueReturning to the step (a) until the following conditions are met:
At this time, an optimal allocation strategy of resource blocks, power and signal power split ratios is obtained.
In this embodiment, the proposed robust resource allocation method for the NOMA and energy-carrying D2D fusion network is compared with a non-wireless energy-carrying traditional energy efficiency algorithm, a non-wireless energy-carrying energy efficiency maximum robust algorithm, and a wireless energy-carrying energy efficiency algorithm.
As can be seen from fig. 3, as the number of D2D users increases, the system energy efficiency of the four algorithms increases, but the algorithm proposed by the present invention has the highest energy efficiency, whereas the traditional wireless energy-carrying energy efficiency algorithm has the energy efficiency similar to that of the energy efficiency maximization robust algorithm. The reason is that the traditional wireless energy-carrying energy efficiency algorithm compensates the energy consumption of the system by using the energy of the collected radio frequency signals, and the energy efficiency maximum robust algorithm has a higher average data rate by considering the interruption probability constraint. And the traditional energy efficiency algorithm which is not wireless energy-carrying has the lowest energy efficiency.
It can be seen from fig. 4 that under different algorithms, the interruption probability is related to the channel estimation error of the D2D communication link, and it can be seen from the figure that the variance of the channel estimation error of the D2D communication linkVery little time, the actual channel parameters are similar to the channel estimation values, and the system outage probability is zero. When in useThe probability of interruption of the system increases with it. And is provided withAndthe larger the interruption probability. Compared with the non-robust traditional energy efficiency algorithm, the interruption probability of the algorithm is lower and does not exceed the interruption probability threshold, which shows that the algorithm reduces the interruption probability of D2D communication by considering the uncertainty of the channel parameters and has good robust performance.
Finally, the above embodiments are only intended to illustrate the technical solutions of the present invention and not to limit the present invention, and although the present invention has been described in detail with reference to the preferred embodiments, it will be understood by those skilled in the art that modifications or equivalent substitutions may be made on the technical solutions of the present invention without departing from the spirit and scope of the technical solutions, and all of them should be covered by the claims of the present invention.
Claims (3)
1. A NOMA and energy-carrying D2D fusion network-oriented robust resource allocation method is characterized by comprising the following steps: the method comprises the following steps:
in a NOMA-based and energy-carrying D2D converged network, the NOMA-based and energy-carrying D2D converged network comprises a macro base station, M cellular users and N pairs of D2D users, wherein the base station carries out data transmission with the cellular users through K resource blocks, the D2D users are provided with an energy collection circuit, and the cellular users adopt NOMA technology;
considering the downlink transmission scenario, multiple cellular users multiplex the same resource block, assuming that the channel gain is satisfiedThe serial interference elimination is utilized, the interference is eliminated in sequence according to the increasing sequence of the channel gain, the co-channel interference is reduced, and a D2D user adopts substrate access to cause interference to users occupying the same resource block; the data rate for the ith cellular user is:
wherein the content of the first and second substances,transmitting power, M, allocated to cellular user i by base station through resource block kkIs the number of cellular users on resource block k,for the channel gain on resource block k for base station to cell user i,channel gain on resource block k for D2D user n to cellular user i;allocating a factor to resource blocks of D2D users whenIndicating that D2D user n occupies resource block k, otherwise For the transmit power, σ, of D2D user n on resource block k2Is the background noise power of the receiver;
to perform successive interference cancellation, the interference of user j for a certain channel gain condition is cancelled,the signal to interference plus noise ratio for user i to decode user j signals is described as:
wherein the content of the first and second substances,allocating the transmitting power of a cellular user j to a base station through a resource block k;
when the user j decodes the signal, the signal-to-interference-and-noise ratio is:
suppose that the k-th resource block is multiplexed by the D2D user n and the cellular user, and the signal-to-interference-and-noise ratio is:
wherein the content of the first and second substances,is the proportionality coefficient of the information signal in the signal power,the channel gain for D2D user n on resource block k,for the channel gain on resource block k for base station to D2D user n,channel gain on resource block k for D2D user n to cellular user i;
considering wireless energy carrying technology, the D2D receiver can collect energy from the surrounding radio frequency environment, and the energy collected by the nth D2D user is represented as:
wherein the content of the first and second substances,is the proportionality coefficient of the energy signal in the signal power, theta is the energy collection efficiency coefficient;
the energy efficiency of each D2D user was:
in the NOMA-oriented and energy-carrying D2D fusion network, channel gains under an imperfect channel state are considered, and channel uncertainty is modeled as an additive model:
wherein the content of the first and second substances,in order to achieve the gain of the rayleigh fading channel,andfor the purpose of the channel gain estimation,andan estimation error that is a channel gain;
the channel gain is modeled as:
wherein L ═ d-νIs the path loss coefficient; d is the distance of the channel, and v is the path loss index;
when the actual achievable data rate is less than the expected data rate, a communication disruption will be generated; the estimated data rate and the achievable maximum data rate for the D2D user are:
wherein the content of the first and second substances,estimated signal-to-interference-and-noise ratios and the maximum achievable signal-to-interference-and-noise ratio are respectively;
the average interrupt rate sum for the D2D user is expressed as:
wherein Pr [ ] represents the probability that the D2D user estimates that the data rate is less than or equal to the maximum achievable data rate;
establishing an energy efficiency maximum optimization problem containing the interruption probability:
wherein the content of the first and second substances,is the minimum data rate of cellular user i, tau is the outage probability threshold, PmaxIs the maximum transmit power of the base station,maximum transmit power for D2D user n;
in the energy efficiency maximum optimization problem, a probability constraint problem is converted into a non-probability problem, and the data rate of the D2D user n is obtained as follows:
wherein, the first and the second end of the pipe are connected with each other,in order to be a coefficient of the path loss,is Rayleigh fading channel gain, andis a non-central chi-square distribution with a degree of freedom of 2,as an inverse cumulative distribution function of the chi-squared distribution,
the average interrupt rate sum is expressed as:
the energy efficiency optimization problem is converted into:
2. The NOMA and energy-carrying D2D converged network-oriented robust resource allocation method according to claim 1, wherein: in the energy efficiency optimization problem, a Dinkelbach method is used for converting a fractional target function into a subtraction form, an intermediate variable eta is introduced, and the target function is equivalent to:
due to the objective function with the transmitted power of the cellular userTo ensure the service quality of the cellular users and maximize the energy efficiency, the optimal transmitting power of the cellular users meets the following requirements:
simplifying the constraint conditions to obtain the problem of maximum energy efficiency optimization:
the optimization problem includes integer variablesWill be provided withRelaxation is in the interval [0,1]Above continuous variable, defineAnd performing variable substitution on the coupling variable to defineObtaining:
the problem constraint is linear, the objective function is a concave function, and the problem constraint is a typical convex optimization problem.
3. The NOMA and energy-carrying D2D converged network-oriented robust resource allocation method according to claim 2, wherein: solving an analytic solution for the convex optimization problem by using a Lagrange dual theory, and iteratively updating an optimization variable by a gradient descent method to obtain an optimal resource allocation strategy;
wherein the content of the first and second substances,χk,psi is the Lagrange multiplier, epsilonxAn iteration step size not less than zero;
(e) Updating when the iteration has a converged valueReturning to the step (a) until the following conditions are met:
At this time, an optimal allocation strategy of resource blocks, power and signal power split ratios is obtained.
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