CN111132083B - A NOMA-based distributed resource allocation method in vehicle formation mode - Google Patents

A NOMA-based distributed resource allocation method in vehicle formation mode Download PDF

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CN111132083B
CN111132083B CN201911214993.1A CN201911214993A CN111132083B CN 111132083 B CN111132083 B CN 111132083B CN 201911214993 A CN201911214993 A CN 201911214993A CN 111132083 B CN111132083 B CN 111132083B
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CN111132083A (en
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郭彩丽
许世琳
冯春燕
王兆丰
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Beijing University of Posts and Telecommunications
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W4/00Services specially adapted for wireless communication networks; Facilities therefor
    • H04W4/30Services specially adapted for particular environments, situations or purposes
    • H04W4/40Services specially adapted for particular environments, situations or purposes for vehicles, e.g. vehicle-to-pedestrians [V2P]
    • H04W4/44Services specially adapted for particular environments, situations or purposes for vehicles, e.g. vehicle-to-pedestrians [V2P] for communication between vehicles and infrastructures, e.g. vehicle-to-cloud [V2C] or vehicle-to-home [V2H]
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W4/00Services specially adapted for wireless communication networks; Facilities therefor
    • H04W4/30Services specially adapted for particular environments, situations or purposes
    • H04W4/40Services specially adapted for particular environments, situations or purposes for vehicles, e.g. vehicle-to-pedestrians [V2P]
    • H04W4/46Services specially adapted for particular environments, situations or purposes for vehicles, e.g. vehicle-to-pedestrians [V2P] for vehicle-to-vehicle communication [V2V]
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W52/00Power management, e.g. Transmission Power Control [TPC] or power classes
    • H04W52/04Transmission power control [TPC]
    • H04W52/18TPC being performed according to specific parameters
    • H04W52/24TPC being performed according to specific parameters using SIR [Signal to Interference Ratio] or other wireless path parameters
    • H04W52/243TPC being performed according to specific parameters using SIR [Signal to Interference Ratio] or other wireless path parameters taking into account interferences
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W52/00Power management, e.g. Transmission Power Control [TPC] or power classes
    • H04W52/04Transmission power control [TPC]
    • H04W52/18TPC being performed according to specific parameters
    • H04W52/26TPC being performed according to specific parameters using transmission rate or quality of service QoS [Quality of Service]
    • H04W52/265TPC being performed according to specific parameters using transmission rate or quality of service QoS [Quality of Service] taking into account the quality of service QoS
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W52/00Power management, e.g. Transmission Power Control [TPC] or power classes
    • H04W52/04Transmission power control [TPC]
    • H04W52/18TPC being performed according to specific parameters
    • H04W52/26TPC being performed according to specific parameters using transmission rate or quality of service QoS [Quality of Service]
    • H04W52/267TPC being performed according to specific parameters using transmission rate or quality of service QoS [Quality of Service] taking into account the information rate
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W52/00Power management, e.g. Transmission Power Control [TPC] or power classes
    • H04W52/04Transmission power control [TPC]
    • H04W52/38TPC being performed in particular situations
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W72/00Local resource management
    • H04W72/04Wireless resource allocation
    • H04W72/044Wireless resource allocation based on the type of the allocated resource
    • H04W72/0453Resources in frequency domain, e.g. a carrier in FDMA
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W72/00Local resource management
    • H04W72/04Wireless resource allocation
    • H04W72/044Wireless resource allocation based on the type of the allocated resource
    • H04W72/0473Wireless resource allocation based on the type of the allocated resource the resource being transmission power
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W72/00Local resource management
    • H04W72/50Allocation or scheduling criteria for wireless resources
    • H04W72/54Allocation or scheduling criteria for wireless resources based on quality criteria
    • H04W72/541Allocation or scheduling criteria for wireless resources based on quality criteria using the level of interference
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W72/00Local resource management
    • H04W72/50Allocation or scheduling criteria for wireless resources
    • H04W72/54Allocation or scheduling criteria for wireless resources based on quality criteria
    • H04W72/542Allocation or scheduling criteria for wireless resources based on quality criteria using measured or perceived quality
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W72/00Local resource management
    • H04W72/50Allocation or scheduling criteria for wireless resources
    • H04W72/54Allocation or scheduling criteria for wireless resources based on quality criteria
    • H04W72/543Allocation or scheduling criteria for wireless resources based on quality criteria based on requested quality, e.g. QoS

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Abstract

本发明公开了一种车辆编队模式下基于NOMA的分布式资源分配方法,属于无线通信领域。本发明提出的方法首先将该资源分配问题解耦为功率分配和子信道分配两部分,然后分别提出基于车队行驶状态的功率分配方案和基于分布式多智能体强化学习(RL,reinforcement learning)的频谱分配方案进行求解。在功率分配部分,通过与固定功率分配方案进行对比,本发明提出的考虑安全距离的功率分配方案能够为不同车道上的车辆编队提供更加公平的通信性能;在频谱分配部分,本发明提出的方案可以充分利用强化学习强大的自主学习能力,通过在多智能体Q‑learning中考虑基于队列位置的邻域迭代顺序来获得较快的收敛速度。本发明在保证V2I通信的前提下,通过利用基于NOMA的分布式资源分配,实现了最大化V2mV链路总吞吐量,提高了系统的通信性能。

Figure 201911214993

The invention discloses a NOMA-based distributed resource allocation method in vehicle formation mode, which belongs to the field of wireless communication. The method proposed by the present invention first decouples the resource allocation problem into two parts: power allocation and sub-channel allocation, and then proposes a power allocation scheme based on the fleet driving state and a spectrum based on distributed multi-agent reinforcement learning (RL, reinforcement learning). Solve the allocation plan. In the power allocation part, by comparing with the fixed power allocation scheme, the power allocation scheme considering the safety distance proposed by the present invention can provide fairer communication performance for vehicle formations in different lanes; in the spectrum allocation part, the scheme proposed by the present invention The powerful self-learning ability of reinforcement learning can be fully utilized, and a faster convergence rate can be obtained by considering the neighborhood iteration order based on queue position in multi-agent Q-learning. On the premise of ensuring V2I communication, the present invention maximizes the total throughput of the V2mV link by utilizing the distributed resource allocation based on NOMA, and improves the communication performance of the system.

Figure 201911214993

Description

NOMA-based distributed resource allocation method in vehicle formation mode
Technical Field
The invention belongs to the field of wireless communication, relates to a Non-Orthogonal Multiple Access (NOMA) communication system, and particularly relates to a distributed resource allocation method in a vehicle formation mode in an internet of vehicles.
Background
With the advent of the automatic driving era, the driving mode of automobiles will change greatly, and in order to reduce driving cost, environmental pollution and traffic accidents, the vehicle formation travel mode will become one of the important driving modes in the automatic driving era[1]. In thatIn each formation, vehicles need to share surrounding traffic and road condition information, abundant entertainment application information and the like. Specifically, the vehicles with rich resources in the fleet communicate with other vehicles in an information sharing manner, so that a stable driving mode of the whole fleet and high-quality driving experience of drivers and passengers are maintained. However, the above process is vehicle to multi-vehicle communication, and cannot be realized by conventional vehicle to vehicle communication (V2V). In the face of increasingly serious shortage of spectrum resources, in order to meet the requirement of V2mV communication in a vehicle queue, the invention introduces NOMA technology in the Internet of vehicles, which mainly passes through a power domain[2]Or code field[3]Multiplexing allows users to access the same channel non-orthogonally, and the receiving end demodulates the received signal by using Serial Interference Cancellation (SIC) technique. Therefore, the NOMA can greatly improve the system throughput under the condition of reducing the dependence on a large amount of spectrum resources, and meet the large-scale communication connection requirement in a vehicle formation scene.
Currently, resource allocation research based on NOMA in the internet of vehicles just starts to develop, and currently, frequency spectrum resource research of NOMA is mainly a centralized scheme, and a distributed resource allocation scheme is less. Boya Di[4]A matching theory based spectrum resource allocation algorithm is proposed to support NOMA based vehicle to everything (V2X) communication. Yiyi Xu[5]By classifying and grouping in the internet of vehicles, a centralized spectrum allocation scheme based on NOMA is proposed. Chen[6]The problem of NOMA-based resource allocation was studied using interference hypergraph and graph coloring theory. Although much research is conducted on a centralized scheme at present, the centralized scheme has the disadvantages of incomplete Channel State Information (CSI), delayed communication request and response, and the like, and thus cannot meet the requirements of high reliability and low delay of vehicle-mounted communication. Therefore, a distributed approach is needed to implement NOMA-based resource allocation.
[1] Huang, D.Chu, C.Wu, and Y.He, IEEE Transactions on Intelligent Transportation Systems, vol.20, No.3, pp.959-974,2018.
[2] Y.saito, y.kishiyama, a.benjebbour, t.nakamura, a.li, and k.higuchi, & wireless access for non-orthogonal multiple access (NOMA) for cellular networks, In 2013IEEE 77th vehicular technology conference (VTC Spring), pp.1-5, IEEE 2013.
[3] L.dai, b.wang, y.yuan, s.han, i.chih-Lin, and z.wang, non-orthogonal multiple access of 5G: solutions, challenges, opportunities and future research trends IEEE Communications Magazine, vol.53, No.9, pp.74-81,2015.
[4] B.di, l.song, y.li, and g.y.li, V2X communication for high reliability and low latency in 5G systems using non-orthogonal multiple access IEEE Journal on Selected Areas in Communications, vol.35, No.10, pp.2383-2397,2017.
[5] Xu and X.Gu, NOMA-based V2V System resource Allocation, In 2018International Conference on Network Infrastructure and Digital Content (IC-NIDC), pp.239-243, IEEE,2018.
[6] Chen, B.Wang, and R.Zhang, resource allocation for interference maps in NOMA-based V2X networks IEEE Internet of Things Journal, vol.6, No.1, pp.161-170,2018.
Disclosure of Invention
The invention aims to solve the problems, and provides a distributed resource allocation method based on NOMA (non-uniform resource allocation) by utilizing NOMA (non-uniform resource allocation) technology to realize the reuse of the same resource according to a distributed resource allocation principle, which is applied to a vehicle formation mode in a vehicle networking. The invention considers a vehicle networking scene that a vehicle and an infrastructure (V2I) link and a V2mV link coexist, realizes the maximization of the total throughput of the V2mV link, and ensures the normal communication of the V2I link.
In order to achieve the technical effect, the implementation steps of the NOMA distributed resource allocation method based on the vehicle formation mode of the invention comprise:
step one, considering the influence of large-scale fading and small-scale fading of a wireless channel in a system model, and establishing a channel model;
step two, under the condition of protecting the normal communication of the V2I link, the transmission rate of the V2mV link is maximized, and the optimization target is set to be the maximum total throughput of the V2mV link;
thirdly, considering the influence of the frequency reuse of the V2I link and the V2mV link on the normal communication of the V2I link, characterizing the transmission rate of the V2I link considering the interference, and performing constraint characterization on the transmission rate;
step four, with the maximum total throughput of the V2mV link as an optimization target, taking a transmission rate threshold value, power allocation constraint and subchannel allocation constraint of the V2I link as constraint conditions of an optimization problem, constructing a distributed resource allocation model based on NOMA under vehicle formation, and decoupling the optimization problem into two parts of power allocation and subchannel allocation;
step five, adopting a power distribution scheme based on lane conditions;
step 501, analyzing and deducing the channel state of the V2mV link;
502, generating a power distribution scheme among NOMA according to the channel states of links of different lanes V2 mV;
step six, representing sub-channel distribution by using a distributed multi-agent Q-learning algorithm, and accelerating convergence speed by considering a neighborhood iteration sequence based on a formation position;
601, constructing a multi-agent Q-learning framework;
step 602, updating a Q table and a strategy;
step 603, determining the sub-channel allocation scheme.
The invention has the advantages that:
(1) on the premise of not influencing the basic communication quality of V2I, the V2I communication and the V2mV link share the spectrum resource, so that the shortage of the spectrum resource is relieved;
(2) NOMA technology is introduced into the Internet of vehicles, and a user is allowed to be accessed to the same channel in a non-orthogonal manner through power domain and code domain multiplexing technology, so that the system throughput is greatly improved under the condition of reducing the dependence on a large number of spectrum resources;
(3) the resource allocation based on NOMA is realized by adopting a distributed scheme, the maximum total throughput of a V2mV link is kept on the basis of realizing V2I communication, and the requirements of high reliability and low time delay of vehicle-mounted communication are met;
drawings
FIG. 1: the V2mV communication system model schematic diagram based on NOMA in the vehicle formation mode in the vehicle networking is disclosed by the embodiment of the invention;
FIG. 2: the embodiment of the invention provides a flowchart of a distributed resource allocation method based on NOMA in a vehicle formation mode;
FIG. 3: the power distribution scheme in the present invention is compared to the average throughput of the V2mV link on different lanes for the fixed power distribution scheme mentioned in the summary of the invention (graph).
FIG. 4: the invention compares the graph (graph) with the cumulative distribution function of other various resource allocation schemes on the V2I link throughput;
FIG. 5: the present invention is a graph (graph) of the total throughput of V2mV links versus other resource allocation schemes.
FIG. 6: the present invention is a graph (graph) comparing the average run time with other resource allocation schemes.
FIG. 7: the invention is compared with other resource allocation schemes in convergence performance (graph).
Detailed Description
In order that the technical principles of the present invention may be more clearly understood, embodiments of the present invention are described in detail below with reference to the accompanying drawings.
The communication system model of the present invention is shown in fig. 1 and comprises an autonomous driving section of U unidirectional lanes, in which a V2mV link coexists with a V2I link, and different lanes specify different driving speeds ({ V [ ]1,…,vU}) and safety distance ({ d)1,…,dU}). SV in modelkAnd SVk'(K, K '∈ {1,2, …, K }, K ≠ K') denotes K individual traveling vehicles, PVn and PVm (N, m ∈ {1,2, …, N }, N ≠ m) denotes N formation of autonomous vehicles. Each vehicle formation has a speed V ═ V specified in the lane1,…,vNAnd the corresponding vehicle safety distance D ═ D1,…,dNAnd driving in sequence. The vehicle formation n and the m respectively comprise a vehicle set of psinAnd ΨmIn which is defined
Figure GDA0003026113040000041
And
Figure GDA0003026113040000042
respectively the sending vehicles in convoy n and m,
Figure GDA0003026113040000043
(v∈{2,…,|Ψn| }) and
Figure GDA0003026113040000044
and
Figure GDA0003026113040000045
for the v and w receiving vehicles in convines n and m, respectively.
In the scene, two communication modes of V2I and V2mV are mainly adopted, wherein in V2I communication, a base station and an SV are adoptedkAnd SVk'The channel gains of the communications are respectively
Figure GDA0003026113040000046
In V2mV communication
Figure GDA0003026113040000047
And
Figure GDA0003026113040000048
and
Figure GDA0003026113040000049
the channel gains of the communications are respectively
Figure GDA00030261130400000410
Figure GDA00030261130400000411
And
Figure GDA00030261130400000412
and
Figure GDA00030261130400000413
the channel gains of the communications are respectively
Figure GDA00030261130400000414
In addition, the base station pair
Figure GDA00030261130400000415
Respectively is
Figure GDA00030261130400000416
To pair
Figure GDA00030261130400000417
And
Figure GDA00030261130400000418
respectively is
Figure GDA00030261130400000419
To pair
Figure GDA00030261130400000420
Interference of
Figure GDA00030261130400000421
For the V2I link, each individual traveling vehicle receives information from the base station through Orthogonal Frequency Division Multiple Access (OFDMA). To alleviate the spectrum resource shortage situation, the present invention assumes that the V2mV link reuses the spectrum resources allocated to the V2I link using an underlay pattern in a Cognitive Radio (CR) network. For convenience, the present invention refers to NOMA-based intra-formation communications collectively as V2 mV.
Referring to fig. 2, a flowchart of a distributed resource allocation method based on NOMA in a vehicle formation mode according to the present invention includes the steps of:
step one, characterizing a channel model S1: in the system model, the path loss is mainly consideredLarge scale fading caused and small scale fading caused by doppler effect. Large-scale fading G based on distance d and path loss exponent γLIs defined as:
Figure GDA0003026113040000051
Figure GDA0003026113040000052
wherein G is0Is at a reference distance d0Attenuation of (G) ofrxAnd GtxThe gain of the antenna is represented by,
Figure GDA0003026113040000053
is related to the carrier frequency fcAnd the wavelength of the speed of light c. The presence of fast fading can be demonstrated using a rayleigh channel model due to the doppler effect caused by relative velocity. Based on statistical distribution theory and law of large numbers, the impulse response h (t, tau) of the channel follows a complex Gaussian distribution with amplitude | hi(t) | obeys a rayleigh distribution of:
Figure GDA0003026113040000054
where σ is a constant and σ > 0.
Step two, optimizing target representation S2: the invention provides a reference transmission rate as a threshold value for judging whether a V2I link is interrupted, and maximizes the transmission rate of a V2mV link on the basis of protecting V2I link communication so as to meet the requirement of information sharing among teams. Therefore, the optimization goal of the present invention is to maximize the overall throughput of the V2mV link. The invention researches the situation that two receiving users exist, and can be popularized to the situation that more than 2 receiving users exist in formation. The internal interference of V2mV, the mutual interference caused by multiplexing the same channel l with V2mV n by other V2mV links, and the interference caused by the base station are respectively defined as
Figure GDA0003026113040000055
And
Figure GDA0003026113040000056
Figure GDA0003026113040000057
Figure GDA0003026113040000058
Figure GDA0003026113040000059
further, the throughputs of user v and user w in formation n are obtained
Figure GDA00030261130400000510
And
Figure GDA00030261130400000511
respectively as follows:
Figure GDA00030261130400000512
Figure GDA00030261130400000513
wherein omegalL denotes the set of available spectrum resources, {1,2, …, L being the number of spectrum resource blocks that can be allocated, L ∈ ΩlFor the frequency band allocated to V2mV n, muvAnd muwPower allocation factors for users v and w, respectively, based on the NOMA power multiplexing rule, assuming channel gain in the formation
Figure GDA0003026113040000061
Is lower than
Figure GDA0003026113040000062
At this time muv>μw,μvw=1。PnAnd PmTransmission powers of V2mV n and m respectively,
Figure GDA0003026113040000063
and BlRespectively base station transmission power and bandwidth at frequency band l, N0Is the power spectral density of Additive White Gaussian Noise (AWGN).
The optimization objective is to maximize the total throughput of the V2mV link, characterized by:
Figure GDA0003026113040000064
wherein
Figure GDA0003026113040000065
N is the total number of V2mV links.
Step three, interference rate constraint characterization S3: since V2mV link set omegakThe same frequency band is shared by the V2I link, and the interference on the V2I link k is
Figure GDA0003026113040000066
Corresponding interference rate
Figure GDA0003026113040000067
Comprises the following steps:
Figure GDA0003026113040000068
wherein
Figure GDA0003026113040000069
Is V2mV n vs. SVkThe interference of (2).
Vehicle formation model based on spectrum reuse for guaranteeing communication quality of V2I link and throughput of V2I link k
Figure GDA00030261130400000610
Should be given as p0Is greater than a predetermined threshold
Figure GDA00030261130400000611
Namely:
Figure GDA00030261130400000612
wherein K is the number of cellular users in the model;
step four, establishing an optimization model S4: taking the throughput of each V2mV link as an optimization variable, maximizing the total throughput of the V2mV link as an optimization target, and taking a constraint condition which needs to be met by spectrum multiplexing and the maximum power limit of the V2mV link and the V2I link as optimization conditions, establishing an optimization model of a resource allocation problem based on NOMA:
Figure GDA0003026113040000071
Figure GDA0003026113040000072
wherein the first constraint represents the throughput of the V2I link k
Figure GDA0003026113040000073
Should be given as p0Is greater than a predetermined threshold
Figure GDA0003026113040000074
In the second constraint of S n,l1 indicates that the frequency band l has been allocated to V2mV n, S n,l0 indicates that the frequency band l is not allocated to V2mV n; the third and fourth constraints give the maximum number of multiplexes of sub-channels/where LmaxDefining the maximum multiplexing number of the frequency band; in the fifth and sixth constraints
Figure GDA0003026113040000075
For the received power of the V-th vehicle in V2mV n,
Figure GDA0003026113040000076
and
Figure GDA0003026113040000077
limiting the maximum power of V2mV n and the base station, respectively.
The optimization problem is a non-convex MINLP problem due to the discrete domain of the optimization target channel allocation result and the continuous domain limitation of the power allocation result. Due to the extremely high computational complexity of the exhaustive search algorithm, it is not practical to obtain a global solution through it. Therefore, similar to other resource allocation solution schemes, the present invention decouples the entire resource allocation problem into two sub-problems, power allocation and sub-channel.
Step five, power distribution characterization S5: the power allocation can be divided into power allocation between V2mV (inter-V2mV) and power allocation inside V2mV (intra-V2 mV). The principle of power allocation of intra-V2mV is essentially power multiplexing of NOMA, and much research has been done on power multiplexing technology of NOMA so far, therefore, the present invention uses the power multiplexing scheme proposed by Zhiguo Ding for power allocation of intra-V2 mV. Next, the invention focuses on the inter-V2mV power distribution problem with optimization problems of the first, the fifth and the six constraint conditions, and proposes a power distribution scheme based on lane conditions.
Step 501, channel state analysis and derivation S51: because the influence of path loss on effective signals is generally far greater than fast fading in a traditional channel model, the invention provides that power distribution is reasonably adjusted according to the safe distance corresponding to different lanes, thereby reducing the difference of throughput among NOMA on different lanes. Based on reasonable assumptions and theoretical derivation, the invention provides an effective inter-V2mV power allocation scheme. Derived from
Figure GDA0003026113040000078
And
Figure GDA0003026113040000079
throughput R of V2mV nnComprises the following steps:
Figure GDA0003026113040000081
randomly selecting vehicles v and v +1(2 ≦ v < v +1 ≦ Ψ ≦ v ≦ 1 ≦ Ψ ≦ nn) Their channel gains satisfy
Figure GDA0003026113040000082
According to the principle of Serial Interference Cancellation (SIC) demodulation of NOMA, the content of the receiving vehicle v +1 is demodulated at the vehicle v +1 and the vehicle v, and the signal to interference and noise ratios (SINR) thereof are respectively recorded as
Figure GDA0003026113040000083
And
Figure GDA0003026113040000084
satisfies the following conditions:
Figure GDA0003026113040000085
wherein
Figure GDA0003026113040000089
Indicating an equivalent derivation. The content of the receiving vehicle v is demodulated at the vehicle v +1 and the vehicle v respectively, and the signal to interference and noise ratio is recorded as
Figure GDA0003026113040000086
And
Figure GDA0003026113040000087
satisfies the following conditions:
Figure GDA0003026113040000088
obtaining V2mV nDischarge volume RnThe approximation is:
Figure GDA0003026113040000091
wherein
Figure GDA0003026113040000092
Represents an equivalent condition to condition Δ:
Figure GDA0003026113040000093
Figure GDA0003026113040000094
v=|Ψnand l, w is 1. The present invention assumes that this approximation equation can be established as long as SIC can be successfully performed in each formation.
Step 502, generating a power allocation scheme between NOMA S52: the invention assumes formation of n and m on different lanes, their throughputs being R respectivelynAnd Rm. Thus, RnAnd RmThe difference of (d) is:
Figure GDA0003026113040000095
suppose that
Figure GDA0003026113040000096
Therefore, there are:
Figure GDA0003026113040000097
wherein d isnAnd dmThe safe distance between vehicles in the formation n and the formation m of the vehicles respectively.
In this way, the reference power of the V2mV link supporting NOMA is introduced. And distributing the reference power to the lane with the minimum safety distance, and completing the NOMA-based vehicle formation power distribution on other lanes by the above formula.
Step six, sub-channel allocation characterization S6: due to the strong autonomous learning capacity of Q-learning in a complex strange environment, in order to solve the problem of sub-channel resource allocation with first, second, third and fourth constraint conditions, the Q-learning-based reinforcement learning framework is introduced. Unlike conventional Q-learning, the algorithm proposed by the present invention decomposes the global optimal solution into a plurality of approximately optimal local solutions. In the process, each agent only considers the state and action of the adjacent agent, so that the state space and the action space of each agent can be reduced to a relatively small scale, and the convergence performance of each agent is remarkably improved. At this point, since path loss plays a major role in channel gain, the effect of neighboring agent states is more significant for each agent than for distant agents, so it is a feasible solution to solve for a local solution instead of a global solution. The invention assumes that each agent can receive the state of the adjacent agent, and makes decision according to the state of the adjacent agent without considering the agent with longer distance, so as to reduce the dimension of feasible solution on the premise of ensuring the solution quality.
Step 601, constructing a Q-learning frame S61: the proposed Q-learning framework mainly comprises five basic components: a) the intelligent agent, b) action, c) state, d) reward and e) iteration sequence, the algorithm is characterized in that the state and the iteration sequence of adjacent intelligent agents are considered, and the specific meaning of each part is as follows:
a) agent-each agent corresponds to each V2mV, i.e., {1,2, …, N }, and thus, there are multiple agents in the proposed reinforcement learning framework.
b) The actions are as follows: the action set a ═ (1,2, …, L) is the set of subchannels that the agent chooses in a uniformly distributed manner, each action a ∈ a corresponding to each spectrum L.
c) The state is as follows: the state of each agent is defined as S ═ { V, W, P, Ω }, S ∈ S, where V, W, P and Ω represent the states of the agent' S relative velocity, position, power allocation, and subchannel allocation, respectively, given the limited number of neighboring agents.
d) Rewarding: for agent n, actions based on its previous state and selectionTo do, will reward the function Ren(s, a) is defined as the throughput of agent n and is passed through
Figure GDA0003026113040000101
Wherein l is implemented as a.
e) And (3) iteration sequence: determining the Q-learning sequence of the V2mV link according to the distance from the formation position to the start point of the road section
Figure GDA0003026113040000105
Is sorted in descending order, defined as
Figure GDA0003026113040000102
Step 602, update Q table and policy S62: in order to obtain an agent
Figure GDA0003026113040000103
Based on the optimal subchannel allocation solution of the iteration sequence, the proposed algorithm needs to use a Q-table to store the reward values resulting from different states and actions. According to Bellman's optimal equation, agent
Figure GDA0003026113040000104
The optimal Q value of (a) is defined as:
Figure GDA0003026113040000111
wherein
Figure GDA0003026113040000112
Wherein p isss'For transition probability from state s to s ', r (s, a) is the reward obtained by action a in state s, γ is the discount factor, φ is the number of adjacent agents, Z is the set of integers, and a ' is the action performed in state s '. At each iteration, the Q table will be updated:
Figure GDA0003026113040000113
where α is the learning rate, a*For optimal behaviour in the state s, i.e.
Figure GDA0003026113040000114
s' is the next state reached after completing action a at state s.
Action selection strategy pi for selecting action a by agent and further updating Q tableaComprises the following steps:
Figure GDA0003026113040000115
wherein, strategy piaCorresponding to the probability of selecting action a and the probability of exploration epsilon, respectively, | A | being an agent
Figure GDA0003026113040000116
The total number of actions selected.
Step 603, determining a sub-channel allocation scheme S63: and obtaining a converged Q table through S62, selecting the optimal action and state according to the converged Q table, and determining the optimal sub-channel allocation scheme.
Fig. 3 verifies the effectiveness of the proposed power allocation scheme of the present invention by simulating the average throughput of V2mV links on different lanes, where the power allocation scheme represents a safe distance based inter-NOMA power allocation scheme and no power allocation represents the same power allocation to all V2mV links. As can be seen from the figure, the average throughput distribution of the V2mV link on each lane is relatively uniform compared to the case without power distribution, and therefore, the V2mV link on each lane will obtain a fair communication service.
Fig. 4, 5, 6 and 7 show simulation results of performance indexes such as average total throughput, operation time and convergence performance of the V2I link and the V2mV link based on the inter-NOMA power allocation scheme proposed by the present invention. The algorithm is named as a distributed NOMA resource allocation algorithm based on multi-agent Q-learning, and is compared with other distributed and centralized comparison algorithms. In distributionIn contrast to the distributed V2V resource allocation algorithm based on multi-agent Q-learning, the algorithm divides each V2mV link in the NOMA scheme into | Ψnl-1D 2D-based V2V link, the other parameters of which are the same as for the NOMA scheme. Centralized schemes include a group theory algorithm, a greedy algorithm, and a stochastic algorithm. The software and hardware parameters of the server used for simulation are as follows: window Server 2019, Intel (R) Xeon (R)2.6GHz processor, 16GB RAM.
Fig. 4 compares the cumulative distribution function of the present invention with various other resource allocation schemes with respect to the throughput of the V2I link, and it can be seen that the scheme of the present invention is superior to the V2V scheme, and the performance of the scheme is slightly inferior to greedy and random resource allocation algorithms, but more than 90% of the V2I link can reach the reference rate.
Fig. 5 compares the total throughput of V2mV link according to the present invention with various other resource allocation schemes, and it can be seen that the exhaustion method can achieve better performance with less advantages at the cost of huge computational complexity compared with the proposed scheme. Compared with the V2V scheme, the proposed scheme is generally more advantageous except for the case of a smaller number of queues, because the V2V scheme can utilize more spectrum resources than the NOMA scheme when the spectrum utilization environment is not congested, and the advantage of the proposed algorithm gradually appears as the V2mV link increases. Furthermore, the performance of the proposed algorithm is clearly superior to the centralized algorithm described above.
Fig. 6 and 7 compare the average runtime and convergence performance of the present invention with other resource allocation schemes, respectively. Compared with the traditional Q-learning resource allocation algorithm, the multi-agent of the proposed algorithm can update the Q table at the same time, so that the time for the algorithm to converge is shorter. The superiority of convergence verifies the effectiveness of the algorithm in considering the iteration sequence and the strategy of the adjacent agent states. As shown in fig. 6, the proposed algorithm consumes less runtime than the V2V approach, and can also be verified in fig. 7 by its smaller number of iterations. As can be seen from fig. 6, the proposed algorithm will consume more runtime than a centralized solution, but still within an acceptable time frame.
In summary, by implementing the NOMA-based distributed resource allocation method in the vehicle formation mode according to the embodiment of the present invention, fairer and efficient communication can be realized for the V2mV links between different lanes, and the transmission rate of the V2mV link is greatly increased on the basis of ensuring the communication of the V2I link.
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.

Claims (1)

1.一种车辆编队模式下基于NOMA的分布式资源分配方法,其特征在于,该资源分配方法包括:1. a distributed resource allocation method based on NOMA under a vehicle formation mode, is characterized in that, this resource allocation method comprises: 步骤1:考虑系统模型中无线信道大尺度衰落和小尺度衰落的影响,建立信道模型;Step 1: Consider the influence of large-scale fading and small-scale fading of the wireless channel in the system model, and establish a channel model; 步骤2:在保护V2I链路正常通信的情况下最大化车与多车(vehicle to multi-vehicle,V2mV)链路的传输速率,将优化目标设置为最大化V2mV链路总的吞吐量;Step 2: Maximize the transmission rate of the vehicle to multi-vehicle (V2mV) link while protecting the normal communication of the V2I link, and set the optimization goal to maximize the total throughput of the V2mV link; 首先表征V2mV内部干扰、其他V2mV链路与V2mV n复用相同信道l导致的相互干扰、以及由基站引起的干扰
Figure FDA0003192804960000011
Figure FDA0003192804960000012
First characterize the V2mV internal interference, the mutual interference caused by other V2mV links and V2mV n multiplexing the same channel 1, and the interference caused by the base station
Figure FDA0003192804960000011
and
Figure FDA0003192804960000012
Figure FDA0003192804960000013
Figure FDA0003192804960000013
Figure FDA0003192804960000014
Figure FDA0003192804960000014
Figure FDA0003192804960000015
Figure FDA0003192804960000015
其中,Ψn为车辆编队n包含的车辆集合,μv和μw分别为接收车辆v和w的功率分配因子,Pn和Pm分别为V2mV n和m中发射车辆的发射功率,Pl c为在频段l处基站的发射功率,
Figure FDA0003192804960000016
为车辆编队n中发送车辆与第v辆接收车辆通信的信道增益,
Figure FDA0003192804960000017
为车辆编队m中的发送车辆对编队n中第v辆接收车辆的干扰,
Figure FDA0003192804960000018
为基站对车辆编队n中第v辆接收车辆的干扰,Ωl={1,2,…,L}表示可用频谱资源集,L为可以分配的频谱资源块的数量,l∈Ωl为已分配到V2mVn上的频段;
Among them, Ψ n is the set of vehicles included in the vehicle formation n, μ v and μ w are the power distribution factors of the receiving vehicles v and w, respectively, P n and P m are the transmit power of the transmitting vehicles in V2mV n and m, respectively, P l c is the transmit power of the base station at frequency band l,
Figure FDA0003192804960000016
is the channel gain for the communication between the sending vehicle and the v-th receiving vehicle in vehicle formation n,
Figure FDA0003192804960000017
is the interference of the sending vehicle in vehicle formation m to the vth receiving vehicle in formation n,
Figure FDA0003192804960000018
is the interference of the base station to the vth receiving vehicle in vehicle formation n, Ω l ={1,2,...,L} represents the available spectrum resource set, L is the number of spectrum resource blocks that can be allocated, l∈Ω l is the available spectrum resource block The frequency band assigned to V2mVn;
其次,分别表征用户v和用户w在编队n中的吞吐量
Figure FDA0003192804960000019
Figure FDA00031928049600000110
Second, characterize the throughput of user v and user w in formation n respectively
Figure FDA0003192804960000019
and
Figure FDA00031928049600000110
Figure FDA00031928049600000111
Figure FDA00031928049600000111
Figure FDA00031928049600000112
Figure FDA00031928049600000112
其中,Bl为在频段l处的基站发射带宽,N0为加性高斯白噪声的功率谱密度,μv和μw分别为用户v和w的功率分配因子,
Figure FDA00031928049600000113
为车辆编队n中发送车辆与第w辆接收车辆通信的信道增益;
Among them, B l is the base station transmit bandwidth at frequency band l, N 0 is the power spectral density of additive white Gaussian noise, μ v and μ w are the power allocation factors of users v and w, respectively,
Figure FDA00031928049600000113
is the channel gain of the communication between the sending vehicle and the wth receiving vehicle in vehicle formation n;
最后,表征优化目标为最大化V2mV链路总的吞吐量:Finally, the optimization objective is characterized as maximizing the total throughput of the V2mV link:
Figure FDA00031928049600000114
Figure FDA00031928049600000114
其中,
Figure FDA00031928049600000115
P={Pn,Pm,Pl c},
Figure FDA00031928049600000116
N为自动驾驶的车辆编队的总数;
in,
Figure FDA00031928049600000115
P={P n , P m , P l c },
Figure FDA00031928049600000116
N is the total number of autonomous vehicle formations;
步骤3:考虑V2I和V2mV链路的频率复用对V2I链路正常通信的影响,表征考虑干扰的V2I链路传输速率,并对其进行约束表征;Step 3: Consider the impact of frequency reuse of V2I and V2mV links on the normal communication of V2I links, characterize the V2I link transmission rate considering interference, and characterize it with constraints; 表征V2I链路k的吞吐量
Figure FDA0003192804960000021
为:
Characterize the throughput of V2I link k
Figure FDA0003192804960000021
for:
Figure FDA0003192804960000022
Figure FDA0003192804960000022
其中,
Figure FDA0003192804960000023
为V2I链路k受到的干扰,
Figure FDA0003192804960000024
为V2mV n对第k辆单独行驶车辆的干扰,
Figure FDA0003192804960000025
为基站到第k辆单独行驶车辆通信的信道增益;
in,
Figure FDA0003192804960000023
is the interference received by the V2I link k,
Figure FDA0003192804960000024
is the disturbance of V2mV n to the k-th single driving vehicle,
Figure FDA0003192804960000025
is the channel gain of the communication from the base station to the kth single-driving vehicle;
基于频谱复用的车辆编队模型为保证V2I链路的通信质量,
Figure FDA0003192804960000026
应以p0的概率大于既定的阈值
Figure FDA0003192804960000027
The vehicle formation model based on spectrum reuse In order to ensure the communication quality of the V2I link,
Figure FDA0003192804960000026
should be greater than the established threshold with probability p 0
Figure FDA0003192804960000027
Figure FDA0003192804960000028
Figure FDA0003192804960000028
其中,K为单独行驶的车辆的总量;Among them, K is the total number of vehicles traveling alone; 步骤4:以最大化V2mV链路总的吞吐量为优化目标,将V2I链路的传输速率阈值、功率分配约束和子信道分配约束作为优化问题的约束条件,构建车辆编队下基于NOMA的分布式资源分配模型,并将优化问题解耦为功率分配和子信道分配两个部分:Step 4: With the optimization goal of maximizing the total throughput of the V2mV link, the transmission rate threshold, power allocation constraints and sub-channel allocation constraints of the V2I link are used as the constraints of the optimization problem, and a NOMA-based distributed resource under vehicle formation is constructed. allocation model and decouple the optimization problem into two parts: power allocation and subchannel allocation:
Figure FDA0003192804960000029
Figure FDA0003192804960000029
Figure FDA00031928049600000210
Figure FDA00031928049600000210
其中,第一个约束条件表示V2I链路k的吞吐量
Figure FDA00031928049600000211
应以p0的概率大于既定的阈值
Figure FDA00031928049600000212
第二个约束条件中Sn,l=1表示频段l已分配给V2mV n,Sn,l=0则表示频段l未分配给V2mV n;第三和第四个约束条件给出了子信道l的最大复用数,其中Lmax定义为频段的最大复用数;第五和第六个约束条件中
Figure FDA00031928049600000213
为V2mV n中第v辆车的接收功率,
Figure FDA00031928049600000214
Figure FDA00031928049600000215
分别限制了V2mVn和基站的最大功率;
where the first constraint represents the throughput of V2I link k
Figure FDA00031928049600000211
should be greater than the established threshold with probability p 0
Figure FDA00031928049600000212
Sn,l = 1 in the second constraint means that frequency band l is allocated to V2mV n, and Sn ,l =0 means that frequency band l is not allocated to V2mV n; the third and fourth constraints give the sub-channel The maximum multiplexing number of l, where Lmax is defined as the maximum multiplexing number of the frequency band; in the fifth and sixth constraints
Figure FDA00031928049600000213
is the received power of the vth vehicle in V2mV n,
Figure FDA00031928049600000214
and
Figure FDA00031928049600000215
Limit the maximum power of V2mVn and base station respectively;
步骤5:采用基于车道条件的功率分配方案,根据不同车道对应的安全距离对功率分配进行合理地调整,从而减小不同车道上NOMA之间吞吐量的差异性:Step 5: Adopt a power distribution scheme based on lane conditions, and adjust the power distribution reasonably according to the safety distances corresponding to different lanes, thereby reducing the difference in throughput between NOMAs on different lanes: 首先分析得到第n个V2mV编队吞吐量Rn的计算方法,推导编队内部信干噪比的不等关系,得到Rn的近似式;其次,为减小不同车道上NOMA之间的差异性,计算不同车道上的编队n和m吞吐量的差值函数Rn-Rm,该差值是关于车辆编队发送功率Pn和Pm的函数:Firstly, the calculation method of the throughput Rn of the n -th V2mV formation is analyzed, and the unequal relationship between the signal-to-interference and noise ratio within the formation is deduced, and the approximate formula of Rn is obtained. Secondly, in order to reduce the difference between NOMAs on different lanes, Calculate the difference function Rn- Rm of the throughputs of formations n and m on different lanes, the difference is a function of the vehicle formation transmission power Pn and Pm :
Figure FDA0003192804960000031
Figure FDA0003192804960000031
其中,Ψn和Ψm为车辆编队n和m包含的车辆集合,
Figure FDA0003192804960000032
为第n个车辆编队中的发送车辆与第|Ψn|辆车通信的信道增益,
Figure FDA0003192804960000033
为第m个车辆编队中的发送车辆与第|Ψm|辆车通信的信道增益;
Among them, Ψ n and Ψ m are the vehicle sets contained in vehicle formations n and m,
Figure FDA0003192804960000032
is the channel gain for the communication between the transmitting vehicle in the nth vehicle formation and the |Ψn| vehicle,
Figure FDA0003192804960000033
is the channel gain for the communication between the transmitting vehicle in the mth vehicle formation and the |Ψm| vehicle;
最后,为减小吞吐量的差异性,引入支持NOMA的V2mV链路的基准功率,将基准功率分配给安全距离最小的车道,并令
Figure FDA0003192804960000034
完成其他车道上基于NOMA的车辆编队功率分配,其中dn和dm分别为车辆编队n和m内车辆间的安全间距,γ为路径损耗指数;
Finally, in order to reduce the variability of throughput, the reference power of the V2mV link supporting NOMA is introduced, the reference power is allocated to the lane with the smallest safety distance, and the
Figure FDA0003192804960000034
Complete the NOMA-based vehicle formation power distribution in other lanes, where d n and d m are the safe distances between vehicles in vehicle formations n and m, respectively, and γ is the path loss index;
步骤6:利用分布式多智能体Q-learning算法表征子信道分配,并通过考虑基于编队位置的邻域迭代顺序来加快收敛速度:Step 6: Characterize the sub-channel assignments with a distributed multi-agent Q-learning algorithm, and speed up the convergence by considering the neighborhood iteration order based on the formation position: 首先构造Q-learning框架,定义框架中的智能体、动作、状态、奖励和迭代顺序;其中智能体为V2mV编队,动作为智能体以均匀分布的方式选择的子信道,状态由智能体的相对速度、位置、功率分配和子信道状态组成,奖励为智能体的吞吐量,迭代顺序决定V2mV链路进行Q-learning的顺序;First construct the Q-learning framework, define the agent, action, state, reward and iteration order in the framework; where the agent is the V2mV formation, the action is the sub-channel selected by the agent in a uniformly distributed manner, and the state is determined by the relative It consists of speed, position, power allocation and sub-channel state. The reward is the throughput of the agent, and the iteration order determines the order of Q-learning for the V2mV link; 其次,获得智能体基于迭代顺序的最优子信道分配解,使用Q表存储由不同状态和动作得到的奖励值,并根据Bellman最优方程得到最优的Q值,并根据动作选择策略πa更新Q表,策略πa为:Secondly, obtain the optimal sub-channel assignment solution of the agent based on the iteration order, use the Q table to store the reward values obtained by different states and actions, and obtain the optimal Q value according to the Bellman optimal equation, and select the strategy π a according to the action To update the Q table, the strategy π a is:
Figure FDA0003192804960000035
Figure FDA0003192804960000035
其中,策略πa的价值分别对应于选择动作a的概率和探索概率ε,A是智能体
Figure FDA0003192804960000036
可选择的动作集合,|A|是智能体
Figure FDA0003192804960000037
所选择的动作总数,
Figure FDA0003192804960000038
为智能体
Figure FDA0003192804960000039
在状态s、动作a时的Q值;
Among them, the value of policy π a corresponds to the probability of selecting action a and the exploration probability ε, respectively, and A is the agent
Figure FDA0003192804960000036
The set of actions to choose, |A| is the agent
Figure FDA0003192804960000037
the total number of actions selected,
Figure FDA0003192804960000038
for the agent
Figure FDA0003192804960000039
Q value in state s, action a;
最后,得到收敛后的Q表,并根据已收敛的Q表选择最优的动作和状态,确定最优的子信道分配方案。Finally, the converged Q table is obtained, and the optimal action and state are selected according to the converged Q table to determine the optimal sub-channel allocation scheme.
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