CN112969240B - Heterogeneous wireless distributed network intelligent channel access method based on pure threshold decision - Google Patents

Heterogeneous wireless distributed network intelligent channel access method based on pure threshold decision Download PDF

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CN112969240B
CN112969240B CN202110138142.4A CN202110138142A CN112969240B CN 112969240 B CN112969240 B CN 112969240B CN 202110138142 A CN202110138142 A CN 202110138142A CN 112969240 B CN112969240 B CN 112969240B
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relay
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张周
谢佳
王彤彤
闫野
李梦烁
王一竹
马丕明
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Tianjin (binhai) Intelligence Military-Civil Integration Innovation Center
National Defense Technology Innovation Institute PLA Academy of Military Science
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National Defense Technology Innovation Institute PLA Academy of Military Science
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Abstract

Aiming at the defects of high complexity and low frequency band utilization rate of the existing heterogeneous wireless distributed network in the access process, the invention discloses a heterogeneous wireless distributed network intelligent channel access method based on pure threshold decision. The method is used for carrying out distributed channel intelligent detection and access decision in a heterogeneous wireless cooperative network consisting of a plurality of signal source-signal sink pairs and a plurality of signal amplification forwarding type relay nodes, a plurality of signal sources independently send data packets in a distributed mode to compete for channels, the successful signal source-signal sink pairs compete for channel states through pure threshold decision, the optimal access mode is dynamically selected, balance between relay channel detection overhead and channel access income is searched, and system average throughput performance of the whole heterogeneous wireless cooperative network is optimal. Through simulation result verification, the method can realize effective networking of the heterogeneous wireless distributed cooperative network, and improve the average throughput of the system and the utilization rate of network spectrum resources.

Description

Heterogeneous wireless distributed network intelligent channel access method based on pure threshold decision
Technical Field
The invention relates to the technical field of wireless communication, in particular to a heterogeneous wireless distributed network intelligent channel access method based on pure threshold decision.
Background
In recent years, wireless communication networks have been developed unprecedentedly, and the wireless communication network technology has made higher demands on network performance (including system reliability and throughput) in practical scenarios while meeting various application requirements such as mobile networks and internet of things. Due to the scarcity of frequency spectrum resources and time-varying channel conditions, in order to further improve the performance of the wireless network, an opportunistic scheduling method is proposed and used for realizing the joint optimization of the multi-layer wireless network. The opportunistic scheduling method enables the MAC layer of the user to carry out opportunistic scheduling channel access among a plurality of users under the condition of knowing the physical layer information, can effectively utilize multi-user diversity and time diversity, and greatly improves the overall performance of the system.
The current wireless cooperative network mainly includes a centralized cooperative network and a distributed cooperative network. The centralized network collects global Channel State Information (CSI) from all users by deploying a central controller, and schedules a user access channel with the best channel condition, significantly improving network performance by using multi-user diversity. The distributed opportunistic scheduling is still under investigation in the initial phase, each user experiences channel contention due to the distributed nature of multiple users and the time-varying nature of the wireless channel, and only local information is available, and the winner user must make channel access decisions based on this limited information. Aiming at the problem, an optimal stopping strategy under a distributed wireless network and an optimal strategy of a pure threshold structure by utilizing an optimal stopping theory are provided, the optimal access problem under different channel constraints is also researched, the concept of the distributed wireless cooperative network is provided, the cooperative transmission is utilized to realize relay diversity, and a winning signal source-signal sink pair can select a mode with better channel quality to access after detecting a relay channel, so that the network performance is obviously improved.
The existing centralized network depends on a central controller to process and optimize information of the whole network, when the central controller fails, the network cannot operate, and meanwhile, the central controller needs to know channel state information of the whole network, so that the signaling overhead is large, the network is only suitable for networks with small scale and small user number, and when the number of users increases, the signaling overhead is increased rapidly, so that the frequency spectrum utilization rate of the network is reduced.
The existing distributed network technology only detects a fixed number of relays before the cooperative channel is accessed, and when the number of deployed relays is large, serious signaling overhead can be caused, so that the system throughput is reduced; in order to reduce the complexity of the problem, the characteristics of a wireless channel are usually limited, and the applicability to a general wireless environment is limited on the assumption that the characteristics have reciprocity; most studies are only directed to homogeneous wireless networks, but in a practical distributed wireless network environment, the direct channel and the relay channel usually experience different channel fading, with heterogeneity. In general, the existing heterogeneous wireless distributed cooperative network has the disadvantages of high complexity and low frequency band utilization rate in the access process,
disclosure of Invention
Aiming at the defects of high complexity and low frequency band utilization rate of the existing heterogeneous wireless distributed cooperative network in the access process, the invention discloses an intelligent channel access method based on pure threshold decision under the condition of the heterogeneous wireless distributed cooperative network. The method is used for carrying out distributed channel intelligent detection and access decision in a heterogeneous wireless cooperative network consisting of a plurality of signal source-signal sink pairs and a plurality of signal amplification forwarding type relay nodes, a plurality of signal sources independently send data packets in a distributed mode to compete for channels, the successful signal source-signal sink pairs compete for channel states through pure threshold decision, the optimal access mode is dynamically selected, balance between relay channel detection overhead and channel access income is searched, and system average throughput performance of the whole heterogeneous wireless cooperative network is optimal. Through simulation result verification, the method can realize effective networking of the heterogeneous wireless distributed cooperative network, and improve the average throughput of the system and the utilization rate of network spectrum resources.
The invention discloses a heterogeneous wireless distributed network intelligent channel access method based on pure threshold decision. And at the beginning of each competition time slot, the multiple information sources independently send RTS packets in a distributed mode to compete for the channel, if and only if only one information source sends the RTS packet, the information source competes for the channel successfully to obtain a channel access opportunity, and the information source is a winning information source. Considering the cooperative performance of the distributed cooperative networking, the winning information source makes an optimal decision according to the current limited local information so as to maximize the system average throughput of the network; and if the channel condition of the winning information source is too poor, the winning information source gives up the access opportunity and participates in the channel competition again, otherwise, the winning information source is directly accessed or accessed in an auxiliary manner by a relay.
The heterogeneous wireless distributed network intelligent channel access method based on pure threshold decision-making comprises the steps of firstly calculating global parameters based on channel statistical parameters and classifying communication pairs, wherein the I-type communication pairs can carry out threshold comparison according to the current channel state, and direct connection/abandonment/further detection relay is selected; class ii communication pairs can only choose direct connections/abandon. After channel competition succeeds, a winning information sink obtains SNR of a direct connection channel from the winning information source, a corresponding access strategy is selected according to a classification interval of the SNR, if the communication pair belongs to a classification I, whether relay is to be detected further is judged through a threshold value, if the communication pair belongs to a classification I, threshold value comparison of the number of detected relays is carried out, the optimal number of detected relays is determined, and then access transmission is carried out in a mode of better channel rate according to the obtained CSI of the relay channel; then the information sink informs the access decision to all other information sources by sending a CTS packet, if the decision result is an access channel, the information source of the information sink selects a direct connection/relay channel for transmission according to the decision result, at the moment, other information sources stop sending competitive data packets, and all the information sources restart the next round of channel competition until the transmission of a winning information source-information sink pair is finished; and if the decision result is that the access is abandoned, all the information sources continue to send RTS packets to compete for the channel when the next competition time slot starts.
The heterogeneous wireless distributed network comprises K source-sink pairs (namely, a source S) 1 ,...,S i ,...,S K And a signal sink D 1 ,...,D i ,...,D K ) L amplify-and-forward relay nodes (i.e. relays R) 1 ,R 2 ,...R L ). The selectable access modes of different source-sink pairs include three types: accessing a direct connection channel when the relay node is not detected; accessing a relay auxiliary channel; the direct connection channel access is realized when a certain number of relay nodes are detected, and the mode detects the certain number of relay nodes, but the channel condition of the direct connection channel is found to be better, so that the direct connection channel is selected for access; when all the access channel conditions are poor, the information source selects to give up the access opportunity and perform channel competition again, so that the transmission time of other communication pairs with better channel conditions is increased, and the average throughput of the whole distributed network system is increasedIs large. RTS (request-to-send), which indicates a request-to-send packet, is a data packet in the channel aware access protocol, and is used for a sending node user to detect the channel occupancy and estimate the channel quality. Csi (channel state information), which represents channel state information and data information reflecting real-time conditions of a radio channel. CTS (clear-to-send), which indicates clear-to-send packet, is a data packet in the channel aware access protocol for the receiving node to respond to the sending node.
Specific definitions and assumptions of parameters used in the present invention include:
k signal source-signal sink pairs, wherein the signal source index number is S 1 ,...,S i ,...,S K Sink index number D 1 ,...,D i ,...,D K L relay nodes and R index number 1 ,R 2 ,...R L (ii) a All nodes compete for the channel in a distributed manner on a micro-slot basis, assuming time synchronization. When each minislot starts, all sources have the same probability p 0 Independently sending a channel competition RTS packet, if and only if only one source sends the RTS packet in the same micro-slot, the source is a winning source, the process is called a successful channel competition, and the process from the beginning of the channel competition to the appearance of the winning source is defined as an observation. For each observation, the time to be spent before the winning source appears is random, and since each channel contention is independent, the total number of channel contention experienced for a single observation follows a parameter Kp 0 (1-p 0 ) K-1 The mean time of a single observation is:
Figure GDA0003726721750000041
wherein tau is RTS Indicating the time of transmission of RTS packets, τ CTS Indicates the time of transmission of the CTS packet, delta indicates the duration of the idle slot, and the time of collision is represented by tau RTS And (4) showing.
Considering a random channel fading model with statistical properties, from the ith source S i To its sink D i The SNR of the direct-connection channel of (i), i.e. the ith source-sink pair channel, is represented by γ i SNR of a first hop channel from an ith source to a jth relay and a second hop channel from the jth relay to an ith sink are respectively expressed as
Figure GDA0003726721750000042
And
Figure GDA0003726721750000043
all direct-connected channels and relay channels are subject to Rayleigh fading models, and the SNR variable gamma of the channels i
Figure GDA0003726721750000044
And
Figure GDA0003726721750000045
are all subject to an exponential random distribution, which is expected to be respectively
Figure GDA0003726721750000046
And
Figure GDA0003726721750000047
the channel noise follows a gaussian distribution of normalized variance.
The channel coherence time is recorded as τ d Probing a set of relay nodes
Figure GDA0003726721750000048
The signaling interaction time of all the relay nodes is recorded as
Figure GDA0003726721750000049
I | represents a modulo operation,
Figure GDA00037267217500000410
representing a set of relay nodes
Figure GDA00037267217500000411
The number of the relay nodes is the winning signal source-information sink pair if the detection relay node set is selected
Figure GDA0003726721750000051
And for the probing relay node set
Figure GDA0003726721750000052
After detection, the winning information source is accessed into the channel for data transmission in the time of
Figure GDA0003726721750000053
Achievable rate of the direct connection channel is R di )=log 2 (1+γ i ) The receiving end signal under the relay auxiliary channel access comprises a direct connection channel signal, a relay two-hop channel signal and an information source S i In sounding relay node set
Figure GDA0003726721750000054
The maximum channel SNR for the source-sink pair to assist channel transmission through the best single relay in the set of probed relay nodes is then obtained as
Figure GDA0003726721750000055
The corresponding channel achievable rate is
Figure GDA0003726721750000056
Modeling a channel observation process after single channel competition is successful into two sub-observation processes, wherein for the k-th observation, the obtained observation information is phi for the 2k-1 and 2 k-th sub-observation processes, and specifically for the 2k-1 sub-observation process k =s(k),γ s(k) (k),t s (k) Where s (k) denotes the index number of the winning source in the k-th observation, γ s(k) (k) SNR, t representing a direct connection channel between a winning source s (k) and its sink s (k) Representing the channel contention time of the kth observation; then, a winning information sink d (k) corresponding to a winning information source s (k) selects a further detection relay channel, then a 2 k-time sub-observation is carried out, and observation information obtained by the 2 k-time sub-observation is represented as
Figure GDA0003726721750000057
Wherein
Figure GDA0003726721750000058
Is the set of relay nodes, γ, probed in the 2 k-th sub-observation s(k),j (k) And gamma j,d(k) (k) First and second hop channel SNRs from source s (k) to relay node j and relay node j to sink d (k), respectively.
Determining the time of accessing the channel by a winning information source, carrying out observation path modeling on the sub-observation process of channel competition at the previous time, and observing the path model when the observation times | Pi | is odd
Figure GDA0003726721750000059
When the observation time | Pi | is even number, observing the path model
Figure GDA00037267217500000510
Wherein a is k Is a binary number with a value of 0 or 1, a k 1 indicates that after the kth channel contention, some source wins the channel and its sink gets the CSI of the direct link, a k 0 indicates that the channel competition fails, i.e. channel collision or idle occurs,
Figure GDA00037267217500000511
indicating that the winning sink further decides whether and how to probe the relaying channel,
Figure GDA0003726721750000061
indicating that the relay channel is not probed, if the probing relay channel is selected
Figure GDA0003726721750000062
Representing a set of relay nodes to be probed. For the observation path pi, the cumulatively obtained observation information is denoted as B π The gain function is denoted as Y (pi), and when the number of observations | pi | is odd,
Figure GDA0003726721750000063
Y(π)=τ d R ds(k) ) When the observation time | pi | is an even number,
Figure GDA0003726721750000064
the time cost is the time spent by all sub-observation processes plus the data transmission duration, expressed as
Figure GDA0003726721750000065
Wherein
Figure GDA0003726721750000066
Is a hypothesis indicator if it is set]If the inner hypothesis is true, the value is 1, otherwise, the value is 0; accordingly, the instantaneous throughput is determined by
Figure GDA0003726721750000067
And (4) showing.
Based on the heterogeneous wireless distributed cooperative network model, the method provided by the invention aims to find the optimal intelligent channel access and decision method, namely the optimal strategy N * To average the system throughput of the network
Figure GDA0003726721750000068
Most preferably, wherein
Figure GDA0003726721750000069
Indicating expectation, sup indicates the minimum upper bound.
In the heterogeneous wireless distributed cooperative network, the method for accessing the heterogeneous wireless distributed network intelligent channel based on the pure threshold decision comprises the following specific steps:
and S1, obtaining the optimal average throughput of the system, the communication pair classification interval, the primary decision threshold and the relay number decision threshold through offline iterative computation according to the channel statistical characteristic parameters of the heterogeneous wireless network. The offline iterative computation refers to iterative computation which does not occupy network resources. In the step S1, the specific calculation procedure is,
probing relay node of ith signal source-signal sink pairPoint collection
Figure GDA00037267217500000611
The revenue function of (a) is defined by the expression:
Figure GDA00037267217500000610
in which the channel coherence time is recorded as tau d The achievable rate of the direct connection channel is R d (γ)=log 2 (1+ gamma), gamma is the signal-to-noise ratio variable of the channel, U 0 (λ) represents the maximum average benefit of giving up access, λ is the average throughput of the system, and is a continuous random variable, and the defined expression of the benefit function is developed to obtain:
Figure GDA0003726721750000071
wherein
Figure GDA0003726721750000072
Expressing probability, expressing the definition expression of the gain function as an analytic expression according to the channel statistical characteristics and the probability distribution of the wireless heterogeneous network to obtain
Figure GDA0003726721750000073
Wherein, the set of relay nodes to be detected is represented as
Figure GDA0003726721750000074
i 1 ,i 2 ,...,i J The index sequence number of the j detection relay of the i information source-information sink pair in the relay node set to be detected is represented, and the j detection relay has a sequencing relation i 1 <...<i j <...<i J To a set of
Figure GDA00037267217500000714
The starting point of the summation may be any of themOne relay, therefore denoted as
Figure GDA0003726721750000075
That is, the sum of the relay nodes taking any point in the relay node set as the starting point is expressed as
Figure GDA0003726721750000076
The mean function of gamma is beta when the jth relay node is detected j (γ)=c i,j α (λ, γ) -1), the corresponding threshold function
Figure GDA0003726721750000077
Figure GDA0003726721750000078
Indicating the SNR threshold at which access is given up,
Figure GDA0003726721750000079
E 1 (x) Is an exponential integral function, specifically expressed as
Figure GDA00037267217500000710
Figure GDA00037267217500000711
Indicates that the SNR of the channel is gamma at the ith source-sink pair i Probing a set of relay nodes
Figure GDA00037267217500000713
Temporal relay supplemental channel SNR variant
Figure GDA00037267217500000712
The cumulative probability distribution function of (a), specifically expressed as,
Figure GDA0003726721750000081
wherein
Figure GDA0003726721750000082
λ * For the optimal system average throughput, when λ is λ ═ λ, for the optimal system average throughput achievable under the current network channel conditions * In time, a revenue function for detecting the relay under the average throughput of the optimal system is defined
Figure GDA0003726721750000083
The analytical expression is as follows:
Figure GDA0003726721750000084
wherein,
Figure GDA0003726721750000085
for the source S i 1,2, K and relay R j J 1, 2.. said, L, the optimal set of relay nodes is defined to implement the maximum revenue function
Figure GDA0003726721750000086
Represented as a set of relay nodes
Figure GDA0003726721750000087
Wherein σ i,j Indicates that mu in all relay channels when j relay nodes are detected i,j The index number of the relay node with the smallest value,
Figure GDA0003726721750000088
thus is provided with
Figure GDA0003726721750000089
Figure GDA00037267217500000810
Representing the set of all relay nodes in the network.
For the source node S i I 1, 2. -, K and relay node R j 1, 2.. L, defining a threshold function based on the number of relays
Figure GDA00037267217500000811
And source-based threshold function
Figure GDA00037267217500000812
For i 1,2, K and j 1,2, 1 i,j* ,γ)=V i * (γ,j+1)-V i * (γ, j), let W i,j* When γ) is 0, the decision threshold for solving the relay SNR value γ is { υ i,j } i=1,2,...,K,j=1,2,...,L-1
Primary decision threshold
Figure GDA00037267217500000814
Is defined as the revenue function V since for each fixed j i * (γ, j) monotonically increases with γ, and thus, is defined
Figure GDA0003726721750000091
Is an equation
Figure GDA0003726721750000092
The unique solution of (a); likewise, the difference function τ d (R d (γ)-λ * )-V i * (γ, j) monotonically increasing with γ, define
Figure GDA0003726721750000093
Is an equation
Figure GDA0003726721750000094
The unique solution of (a); for each fixed i, a primary decision threshold is defined
Figure GDA0003726721750000095
Wherein
Figure GDA0003726721750000096
For the purpose of the lower primary decision threshold,
Figure GDA0003726721750000097
is the upper primary decision threshold.
For the index number of the sounding relay, two sounding relay index values are defined as
Figure GDA0003726721750000098
j i,l And j i,u Respectively representing and preliminary decision thresholds
Figure GDA0003726721750000099
And
Figure GDA00037267217500000910
the number of corresponding detection relay nodes;
optimal system average throughput lambda * Satisfies the equation:
Figure GDA00037267217500000911
wherein the first term on the left τ d R di )-λτ d Representing the gain of the direct connection channel, the second term U on the left 0 (λ)=E[max{τ d R di )-λτ d ,U 0 (λ),V i *i )}]-λτ o It is clear that when λ ═ λ * While, U 0* ) 0, the third term V on the left i *i ) Is a threshold function based on the information source i, and represents that when the SNR of the direct connection channel is gamma i Detecting the maximum expected benefit of the relay channel;
for λ > 0, when
Figure GDA00037267217500000912
While, U 0 The expression of (lambda) is given as,
Figure GDA00037267217500000913
for λ > 0, when
Figure GDA00037267217500000914
While, U 0 The expression of (lambda) is given as,
Figure GDA00037267217500000915
wherein eta i,0 (λ) to satisfy equation R d (x) Lambda is the only solution.
Due to the revenue function V i * (γ) increases monotonically with γ, so for λ > 0, when V i * (2 λ When the content is less than or equal to-1) and less than or equal to 0,
Figure GDA0003726721750000101
when V is i * (2 λ -1) > 0, and (c),
Figure GDA0003726721750000102
defining the classification interval of the information source-information sink pair according to the gain function, when V is i * (2 λ -1) > 0 and
Figure GDA0003726721750000103
time, corresponding source-sink pair
Figure GDA0003726721750000104
Figure GDA0003726721750000105
Is a class I communication pair interval; otherwise
Figure GDA0003726721750000106
Figure GDA0003726721750000107
Is a class ii communication pair interval.
The average throughput lambda of the optimal system is calculated * And the off-line iterative computation for classifying the intra-network communication pairs comprises the following specific steps:
s11, inputting channel parameter tau RTS 、τ CTS 、τ d
Figure GDA0003726721750000108
And
Figure GDA0003726721750000109
s12, inputting an initialization parameter, wherein k is the iteration number, and the initial value is 0 and lambda k As a result of the kth iteration, Δ k Is the precision of the kth iteration, with initial values of λ 0 =0、Δ 0 The convergence threshold of the iterative algorithm is 1, and epsilon is set according to the precision requirement, and the typical value is 10 -3 And alpha is the step length of iterative update, and the value of alpha satisfies
Figure GDA00037267217500001010
S13, judging the iteration precision delta of the kth time k Whether a precision convergence threshold epsilon is reached, if delta k If the iteration precision of the kth time does not reach the precision convergence threshold, continuing to iterate, and entering a step S14, otherwise, ending the iteration, and entering a step S17;
s14, calculating the result lambda of the (k + 1) th iteration k+1 ,λ k+1 =λ k +αΔ k
S15, calculating the communication pair classification section updated by the iteration number k as k +1
Figure GDA00037267217500001011
S16, calculating the iteration precision delta after the iteration times k are updated k
Figure GDA00037267217500001012
Returning to step S13;
s17, finishing the iteration, wherein the iteration result is the optimal system average throughput with lambda * =λ k Calculating
Figure GDA00037267217500001013
And
Figure GDA00037267217500001014
s18, outputting the average throughput lambda of the optimal system * And communication pair classification interval
Figure GDA0003726721750000111
S2, multiple sources compete for channels. Starting from a minislot of duration delta, all sources are given a probability p 0 After sending RTS packets to contend for the channel independently, the following three situations occur:
if no information source sends RTS packet in the micro time slot, the channel is idle, and all the information sources compete for the channel in the next time slot;
if two or more information sources send RTS data packets at the same time, packet collision occurs, and all the information sources need to continuously compete in the next time slot;
if only one information source s (k) sends an RTS packet, wherein k represents that the current channel competition is the k-th successful channel competition, and s (k) is an information source index number, the information source obtains a channel access opportunity and is called as a winning information source; an information sink d (k) corresponding to a winning information source obtains a signal to noise ratio (SNR) value gamma of a direct connection channel by receiving an RTS data packet and utilizing a training sequence carried in the RTS data packet, all relay nodes obtain the SNR of a first hop relay channel from the information source to the relay nodes, and d (k) is an information sink index number;
s3, the signal sink d (k) determines the classification section to which the signal sink d (k) belongs according to the calculation result of the step S1, if so, the signal sink d (k) determines that the signal sink d (k) belongs to the classification section
Figure GDA0003726721750000112
Figure GDA0003726721750000113
For class II communication pair interval, go to step S8, otherwise
Figure GDA0003726721750000114
Figure GDA0003726721750000115
For the class i communication pair section, the process proceeds to step S4;
s4, comparing the primary decision threshold value, if the gain gamma of the direct connection channel is less than or equal to the lower primary decision threshold value
Figure GDA0003726721750000116
The destination d (k) abandons the access opportunity and returns to step S2; if the gain gamma of the direct connection channel is more than or equal to the upper limit primary judgment threshold value
Figure GDA0003726721750000117
The information destination d (k) selects a direct connection channel to perform channel access, and informs the decision result to the information source S (k), the information source S (k) performs corresponding channel access, and the step S2 is returned after the single transmission is finished; otherwise, further detecting the relay channel, and entering step S5; λ is the system average throughput;
s5, comparing the threshold value of the detection relay number, and taking the value of the index number j of the relay node from j i,l To j i,u ,j i,l And j i,u Respectively representing and preliminary decision threshold
Figure GDA0003726721750000118
And
Figure GDA0003726721750000119
the number of corresponding detection relay nodes is determined, and if the direct connection channel gain gamma belongs to a certain relay SNR value decision threshold interval (upsilon) s(k),js(k),j-1 ]Wherein upsilon is s(k),j L-1 is the relay SNR value decision threshold calculated in step S1, the signal sink further detects the relay node set
Figure GDA0003726721750000121
The sink d (k) sends CTS packets to the relay node to be probed and to the source,
Figure GDA0003726721750000122
after receiving the CTS packet, the relay node in the network replies an RTS packet to the information sink, wherein the RTS packet carries the information of the first hop relay channel, and the information sink is connectedOver-demodulating the training sequence in the RTS packet to obtain a set of probing relay nodes
Figure GDA0003726721750000123
SNR value of the post-optimal single-relay supplemental channel
Figure GDA0003726721750000124
Proceeding to step S6;
s6, if
Figure GDA0003726721750000125
λ * If the average throughput of the system is optimal, the information destination d (k) selects an access mode with higher channel rate from the direct channel access and the relay auxiliary channel access, and sends a CTS packet to the information source S (k), and the information source S (k) is enabled to perform corresponding channel access by informing the information source S (k) of an access decision result through the CTS packet, and then the step S7 is performed; otherwise, abandoning the access opportunity, and returning to the step S2;
s7, if
Figure GDA0003726721750000126
Then the source s (k) is subsequent
Figure GDA0003726721750000127
Maximum achievable rate R in direct-connected channel over time d (gamma) transmitting information, and returning to the step S2 after the transmission is finished; otherwise, the source s (k) is at the maximum achievable rate under the relay supplemental channel
Figure GDA0003726721750000128
The transmission is carried out in two stages, in the first stage the source s (k) broadcasts data to its sink and all relay nodes, and in the second stage the index is
Figure GDA0003726721750000129
Forwards the received signal to the sink, gamma s(k),l For the SNR value of the single relaying supplemental channel with index l, then, the sink will receive two signals from the direct channel and from the relaying supplemental channel,with a transmission time of
Figure GDA00037267217500001210
Returning to step S2 after the transmission is finished;
s8, if
Figure GDA00037267217500001211
Then the destination d (k) selects direct channel access, then the destination d (k) sends CTS to the source s (k) and all other sources, let the source s (k) follow τ d Within time, at a maximum achievable rate R d (gamma) data transmission on direct connection channel, all other sources at tau d Wait in time, passing tau d After the time, the single transmission ends, and the step returns to step S2; otherwise, the destination d (k) gives up the access opportunity, and broadcasts CTS packet to all source nodes, and all source nodes restart channel competition in the next time slot, and returns to step S2.
The invention has the beneficial effects that:
compared with a centralized cooperative network, the distributed network has higher flexibility, does not need a centralized controller and has low signaling overhead; the use of the distributed relay increases the communication range of the network and improves the overall quality of a communication link; compared with the existing distributed cooperative algorithm, the method comprises the following steps: channel competition and access of an access layer are optimized under the condition that physical layer information is known, cross-layer distributed network intelligent detection and access are achieved, and multi-user diversity and relay diversity are fully utilized; the number of the detection relay nodes is variable and can be adjusted in a self-adaptive manner along with the channel state, so that unnecessary signaling overhead of relay detection is saved; according to the actual situation of a wireless communication network, modeling is carried out on heterogeneous wireless networking, different information source-information sink pairs adopt different access strategies, and corresponding judgment thresholds depend on respective channel statistical characteristics, so that the method has high flexibility and applicability; all the decision threshold values and the global parameters can be calculated off-line under the condition of statistical information based on a wireless network channel, an iterative algorithm with linear complexity is provided, the optimal solution can be rapidly converged, the calculation time can be effectively reduced for a large-scale distributed network, and errors are not easy to occur; compared with a multi-relay transmission mode, the mode does not need time synchronization among the multiple relays, achieves low complexity, and has full diversity characteristics and higher relay efficiency. The method is simple, easy to realize engineering, and has strong robustness and applicability.
Drawings
Fig. 1 is a system model of a heterogeneous wireless distributed collaborative network.
Fig. 2 is a flowchart of a method for accessing an intelligent channel of a heterogeneous wireless distributed network based on pure threshold decision.
Fig. 3 is a flowchart of an algorithm for offline iterative computation.
Fig. 4 is a graph of the effect of coherence time on the average throughput of a system.
Fig. 5 is a graph of the impact of the number of relays on the average throughput of the system.
Fig. 6 is a graph of the revenue functions of different access methods of communication pair 1 as a function of gamma.
Fig. 7 is a graph of the revenue function for communication pair 3, and fig. 7(a) is a graph of the revenue function for different access methods; fig. 7(b) is a difference function curve of the sounding relay gain function.
Fig. 8 is a graph of the revenue function for communication versus 5: FIG. 8(a) is a graph of a revenue function for different access methods; fig. 8(b) is a difference function of the sounding relay gain function.
FIG. 9 is [ tau ] d Curve of the difference in return function for communication pair 3 and communication pair 5 at 4ms as a function of γ: fig. 9(a) is a plot of communication versus 3; fig. 9(b) is a graph of communication versus 5.
FIG. 10 is a drawing showing
Figure GDA0003726721750000141
And comparing the performance of each access method with the performance of each access method when the access method is changed.
Detailed Description
For a better understanding of the present disclosure, an example is given here.
The invention discloses a heterogeneous wireless distributed network intelligent channel access method based on pure threshold decision. And the multiple information sources distributively and independently send RTS packets to compete for the channel at the beginning of each competition time slot, and if and only if only one information source sends the RTS packet, the information source competes for the channel successfully to obtain the channel access opportunity, and the information source is the winning information source. Considering the cooperative performance of the distributed cooperative networking, the winning information source makes an optimal decision according to the current limited local information so as to maximize the system average throughput of the network; and if the channel condition of the winning information source is too poor, the winning information source gives up the access opportunity and participates in the channel competition again, otherwise, the winning information source is directly accessed or accessed in an auxiliary manner by a relay.
The heterogeneous wireless distributed network intelligent channel access method based on pure threshold decision-making comprises the steps of firstly calculating global parameters based on channel statistical parameters and classifying communication pairs, wherein the I-type communication pairs can carry out threshold comparison according to the current channel state, and direct connection/abandonment/further detection relay is selected; class ii communication pairs can only choose direct connections/abandon. After channel competition succeeds, a winning information sink obtains SNR of a direct connection channel from the winning information source, a corresponding access strategy is selected according to a classification interval of the SNR, if the communication pair belongs to a classification I, whether relay is to be detected further is judged through a threshold value, if the communication pair belongs to a classification I, threshold value comparison of the number of detected relays is carried out, the optimal number of detected relays is determined, and then access transmission is carried out in a mode of better channel rate according to the obtained CSI of the relay channel; then the information sink informs all other information sources of the access decision by sending a CTS packet, if the decision result is an access channel, the information source of the information sink selects a direct connection/relay channel for transmission according to the decision result, at the moment, other information sources stop sending competition data packets, and all the information sources restart the next round of channel competition until the transmission of the winning information source-information sink pair is finished; and if the decision result is that the access is abandoned, all the information sources continue to send RTS packets to compete for the channel when the next competition time slot starts.
FIG. 1 is a system model, in which a heterogeneous wireless distributed collaboration network includes K source-sink pairs (i.e., source S) 1 ,...,S i ,...,S K And a signal sink D 1 ,...,D i ,...,D K ) L amplify-and-forward relay nodes (i.e. relays R) 1 ,R 2 ,...R L ). The selectable access modes of different source-sink pairs include three types: accessing a direct connection channel when the relay node is not detected; accessing a relay auxiliary channel; the direct connection channel access is realized when a certain number of relay nodes are detected, and the mode detects the certain number of relay nodes, but the channel condition of the direct connection channel is found to be better, so that the direct connection channel is selected for access; when all the access channel conditions are poor, the information source selects to give up the access opportunity and perform channel competition again, so that the transmission time of other communication pairs with better channel conditions is increased, and the system average throughput of the whole distributed network is increased.
Based on the heterogeneous wireless distributed cooperative network model, the method provided by the invention aims to find the optimal intelligent channel access and decision method, namely the optimal strategy N * To average the system throughput of the network
Figure GDA0003726721750000151
Most preferably, wherein
Figure GDA0003726721750000152
Indicating expectation, sup indicates the minimum upper bound.
In the heterogeneous wireless distributed cooperative network, the implementation flow of the method of the present invention is shown in fig. 2, and the specific steps include:
and S1, obtaining the optimal average throughput of the system, the communication pair classification interval, the primary decision threshold and the relay number decision threshold through offline iterative computation according to the channel statistical characteristic parameters of the heterogeneous wireless network. The offline iterative computation refers to iterative computation which does not occupy network resources. In step S1, the specific calculation process is that the probing relay node set of the ith source-sink pair
Figure GDA0003726721750000154
The revenue function of (a) is defined by the expression:
Figure GDA0003726721750000153
in which the channel coherence time is recorded as tau d The achievable rate of the direct connection channel is R d (γ)=log 2 (1+ gamma), gamma is the signal-to-noise ratio variable of the channel, U 0 (λ) represents the maximum average benefit of giving up access, λ is the average throughput of the system, and is a continuous random variable, and the defined expression of the benefit function is developed to obtain:
Figure GDA0003726721750000161
wherein
Figure GDA0003726721750000162
Expressing probability, expressing the definition expression of the gain function as an analytic expression according to the channel statistical characteristics and the probability distribution of the wireless heterogeneous network to obtain,
Figure GDA0003726721750000163
wherein, the set of relay nodes to be detected is represented as
Figure GDA0003726721750000164
i 1 ,i 2 ,...,i J The index sequence number of the j detection relay of the i information source-information sink pair in the relay node set to be detected is represented, and the j detection relay has a sequencing relation i 1 <...<i j <...<i J To a set of
Figure GDA00037267217500001614
The starting point of the summation may be any one of the relays and is therefore denoted as
Figure GDA0003726721750000165
That is, the sum of the relay nodes taking any point in the relay node set as the starting point is expressed as
Figure GDA0003726721750000166
The mean function of gamma is beta when the j relay node is detected j (γ)=c i,j 1, corresponding threshold function
Figure GDA0003726721750000167
Figure GDA0003726721750000168
Indicating the SNR threshold at which access is dropped,
Figure GDA0003726721750000169
E 1 (x) Is an exponential integral function, specifically expressed as
Figure GDA00037267217500001610
Figure GDA00037267217500001611
Indicates that the SNR of the channel is gamma at the ith source-sink pair i Probing a set of relay nodes
Figure GDA00037267217500001612
Temporal relay supplemental channel SNR variant
Figure GDA00037267217500001613
The cumulative probability distribution function of (a), specifically expressed as,
Figure GDA0003726721750000171
wherein
Figure GDA0003726721750000172
λ * For the optimal system average throughput, when λ is λ ═ λ, for the optimal system average throughput achievable under the current network channel conditions * In time, a revenue function for detecting the relay under the average throughput of the optimal system is defined
Figure GDA0003726721750000173
The analytical expression is as follows:
Figure GDA0003726721750000174
wherein,
Figure GDA0003726721750000175
for the source S i 1,2, K and relay R j J 1, 2.. said, L, the optimal set of relay nodes is defined to implement the maximum revenue function
Figure GDA0003726721750000176
Represented as a set of relay nodes
Figure GDA0003726721750000177
Wherein σ i,j Indicates that mu in all relay channels when j relay nodes are detected i,j The index number of the relay node with the smallest value,
Figure GDA0003726721750000178
thus is provided with
Figure GDA0003726721750000179
Figure GDA00037267217500001710
Representing the set of all relay nodes in the network.
For the source node S i I 1, 2. -, K and relay node R j 1, 2.. L, defining a threshold function based on the number of relays
Figure GDA00037267217500001711
And source-based threshold function
Figure GDA00037267217500001712
For i 1,2, K and j 1,2, 1Number W i,j* ,γ)=V i * (γ,j+1)-V i * (γ, j), let W i,j* When γ) is 0, the decision threshold for solving the relay SNR value γ is { υ i,j } i=1,2,...,K,j=1,2,...,L-1
Primary decision threshold
Figure GDA00037267217500001713
Is defined as the revenue function V since for each fixed j i * (γ, j) monotonically increases with γ, and thus, is defined
Figure GDA0003726721750000181
Is an equation
Figure GDA0003726721750000182
The unique solution of (a); similarly, the difference function τ d (R d (γ)-λ * )-V i * (γ, j) monotonically increasing with γ, define
Figure GDA0003726721750000183
Is an equation
Figure GDA0003726721750000184
The unique solution of (a); for each fixed i, a primary decision threshold is defined
Figure GDA0003726721750000185
Wherein
Figure GDA0003726721750000186
For the purpose of the lower primary decision threshold,
Figure GDA0003726721750000187
is an upper primary decision threshold;
for the index number of the sounding relay, two sounding relay index values are defined as
Figure GDA0003726721750000188
j i,l And j i,u Respectively representing and preliminary decision threshold
Figure GDA0003726721750000189
And
Figure GDA00037267217500001810
the number of corresponding detection relay nodes;
optimal system average throughput lambda * Satisfies the equation:
Figure GDA00037267217500001811
wherein the first term on the left τ d R di )-λτ d Representing the gain of the direct connection channel, the second term U on the left 0 (λ)=E[max{τ d R di )-λτ d ,U 0 (λ),V i *i )}]-λτ o It is clear that when λ ═ λ * While, U 0* ) 0, the third term V on the left i *i ) Is a threshold function based on the information source i, and represents that when the SNR of the direct connection channel is gamma i Detecting the maximum expected benefit of the relay channel;
for λ > 0, when
Figure GDA00037267217500001812
While, U 0 The expression of (lambda) is as follows,
Figure GDA00037267217500001813
for λ > 0, when
Figure GDA00037267217500001814
While, U 0 The expression of (lambda) is as follows,
Figure GDA00037267217500001815
wherein eta is i,0 (λ) to satisfy equation R d (x) Lambda is the only solution.
Due to the revenue function V i * (γ) increases monotonically with γ, so for λ > 0, when V i * (2 λ When the content is less than or equal to-1) and less than or equal to 0,
Figure GDA0003726721750000191
when V is i * (2 λ -1) > 0, and (c) the reaction solution,
Figure GDA0003726721750000192
defining the classification interval of the information source-information sink pair according to the gain function, when V is i * (2 λ -1) > 0 and
Figure GDA0003726721750000193
time, corresponding source-sink pair
Figure GDA0003726721750000194
Figure GDA0003726721750000195
Is a class I communication pair interval; otherwise
Figure GDA0003726721750000196
Figure GDA0003726721750000197
Is a class ii communication pair interval. The average throughput lambda of the optimal system is calculated * And performing offline iterative computation for classifying intra-network communication pairs, wherein the flow chart of the algorithm is shown in fig. 3.
S2, multiple sources compete for channels. Starting from a minislot of duration delta, all sources are given a probability p 0 After sending RTS packets to contend for the channel independently, the following three situations occur:
if no source sends RTS packet in the micro time slot, the channel is idle, and all sources compete for the channel in the next time slot; if two or more information sources send RTS data packets at the same time, packet collision occurs, and all the information sources need to continuously compete in the next time slot; if only one information source s (k) sends an RTS packet, wherein k represents that the current channel competition is the k-th successful channel competition, and s (k) is an information source index number, the information source obtains a channel access opportunity and is called as a winning information source; an information sink d (k) corresponding to a winning information source obtains a signal to noise ratio (SNR) value gamma of a direct connection channel by receiving an RTS data packet and utilizing a training sequence carried in the RTS data packet, all relay nodes obtain the SNR of a first hop relay channel from the information source to the relay nodes, and d (k) is an information sink index number;
s3, the signal sink d (k) determines the classification section to which the signal sink d (k) belongs according to the calculation result of the step S1, if so, the signal sink d (k) determines that the signal sink d (k) belongs to the classification section
Figure GDA0003726721750000198
Figure GDA0003726721750000199
For class II communication pair interval, go to step S8, otherwise
Figure GDA00037267217500001910
Figure GDA00037267217500001911
For the class i communication pair section, the process proceeds to step S4;
s4, comparing the primary decision threshold value, if the gain gamma of the direct connection channel is less than or equal to the lower primary decision threshold value
Figure GDA00037267217500001912
The destination d (k) abandons the access opportunity and returns to step S2; if the gain gamma of the direct connection channel is more than or equal to the upper limit primary judgment threshold value
Figure GDA00037267217500001913
The information destination d (k) selects the direct connection channel to perform channel access, and informs the decision result to the information source S (k), the information source S (k) performs corresponding channel access, and returns to the step S2 after the single transmission is finished; otherwise, further detecting the relay channel, and entering step S5; λ is the system average throughput;
s5, comparing the threshold value of the detection relay number, and taking the value of the index number j of the relay node from j i,l To j i,u ,j i,l And j i,u Respectively representing and preliminary decision threshold
Figure GDA0003726721750000201
And
Figure GDA0003726721750000202
the number of corresponding detection relay nodes is determined, and if the direct connection channel gain gamma belongs to a certain relay SNR value decision threshold interval (upsilon) s(k),j ,v s(k),j-1 ]Wherein v is s(k),j If j is 1,2,3.. L-1 is the relay SNR value decision threshold calculated in step S1, the sink further detects the relay node set
Figure GDA0003726721750000203
The sink d (k) sends CTS packets to the relay node and the source to be probed,
Figure GDA0003726721750000204
after receiving the CTS packet, the relay node in the network replies an RTS packet to the signal sink, wherein the RTS packet carries the information of the first hop relay channel, and the signal sink obtains a set of detection relay nodes by demodulating a training sequence in the RTS packet
Figure GDA0003726721750000205
SNR value of the post-optimal single-relay supplemental channel
Figure GDA0003726721750000206
Proceeding to step S6;
s6, if
Figure GDA0003726721750000207
λ * For the optimal average throughput of the system, the information destination d (k) selects an access mode with higher channel rate from the direct channel access and the relay auxiliary channel access, and sends a CTS packet to the information source s (k), the information source s (k) is informed of the access decision result through the CTS packet to perform corresponding channel access,proceeding to step S7; otherwise, abandoning the access opportunity, and returning to the step S2;
s7, if
Figure GDA0003726721750000208
Then the source s (k) is subsequent
Figure GDA0003726721750000209
Maximum achievable rate R in direct-connected channel over time d (gamma) transmitting information, and returning to the step S2 after the transmission is finished; otherwise, the source s (k) is at the maximum achievable rate under the relay supplemental channel
Figure GDA00037267217500002010
The transmission is carried out in two stages, in the first stage the source s (k) broadcasts data to its sink and all relay nodes, and in the second stage the index is
Figure GDA00037267217500002011
Forwards the received signal to the sink, gamma s(k),l For the SNR value of the single relay auxiliary channel with index l, then the sink will receive two signals from the direct connection channel and from the relay auxiliary channel with transmission time of
Figure GDA00037267217500002012
Returning to step S2 after the transmission is finished;
s8, if
Figure GDA0003726721750000211
Then the destination d (k) selects direct channel access, then the destination d (k) sends CTS to the source s (k) and all other sources, let the source s (k) follow τ d Within time, at a maximum achievable rate R d (gamma) data transmission on direct connection channel, all other sources at tau d Wait in time, passing tau d After the time, the single transmission ends, and the step returns to step S2; otherwise, the information destination d (k) gives up the access opportunity, broadcasts CTS packet to all information source nodes, and all information sources restart channel competition in the next time slotAnd returning to step S2.
The effectiveness and the process realizability of the method provided by the invention are verified through computer simulation. 5 information source-information sink pairs and a plurality of relay points are arranged in the wireless network. Both the direct channel from each source to its sink and the relayed first hop channel from each source to each relay and the relayed second hop channel from each relay to its sink experience random rayleigh fading. The main configuration parameter of the network model is p 0 =p 1 =0.3,δ=25us,τ RTSτ CTS 50 us. First, the statistical characteristics of the wireless channel are set to the values in table 1.
TABLE 1 radio channel statistics table
Figure GDA0003726721750000212
When the number of relays L is 4, the performance of the proposed optimal scheduling strategy is simulated. FIG. 4 shows SNR expectations of direct connection channels
Figure GDA0003726721750000213
Increasing from 1 to 7dB, the channel coherence time tau d The system average throughput of the network increases from 1ms to 4 ms. It is clear that with the coherence time τ d The average throughput of the system is obviously increased under the same channel condition. The influence of the number of different relay nodes on the average throughput performance of the network in the same channel environment is simulated, as shown in fig. 5. With the increase of the relay number L from 1 to 7, the throughput performance of the system is enhanced, which shows that the increase of the relay nodes does not cause the increase of the network load, but increases the relay diversity, so that the system performance is effectively improved. The optimal access strategy of each source-sink pair is further analyzed. Under the parameter configuration of table 1, the benefit of relay-assisted transmission, the benefit of direct link transmission and the expected benefit of giving up access are studied, wherein the direct channel is connected
Figure GDA0003726721750000214
Is 5dB, coherence time tau d Is 1 ms. As shown in table 1, for different communication pairs i, the first hop channel and the second hop channel of the relay channel have different statistical characteristics, so that the access policy corresponding to each communication pair is different, and in the present simulation embodiment, the communication pairs are classified into class ii:
Figure GDA0003726721750000215
class I:
Figure GDA0003726721750000216
fig. 6 is a graph of the revenue functions of different access methods of communication pair 1 as a function of gamma, with particular curve intersections labeled. According to fig. 6, for communication pair 1,
Figure GDA0003726721750000217
thus communication pair 1 belongs to the set
Figure GDA0003726721750000221
For class I communication pairs, likewise, communication pair 2 belongs to the set
Figure GDA0003726721750000222
In the collection
Figure GDA0003726721750000223
In the method, the sounding relay can not bring extra benefits, and only can select a direct connection channel to access or give up. The revenue function curves for communication pair 3 and communication pair 5 are presented and compared in fig. 7 and 8, respectively. As shown in fig. 7, the intersection point
Figure GDA0003726721750000224
And
Figure GDA0003726721750000225
a decision is made as to whether or not a sounding relay is required, and, obviously, for communication pair 3,
Figure GDA0003726721750000226
thus communication pair 3 is a type of communication pair, belonging to the set
Figure GDA0003726721750000227
When the SNR of the direct connection channel is satisfied
Figure GDA0003726721750000228
Communication pair
3 will select the detection relay. In this case, the optimal number of relays to detect needs to be calculated, so we study the difference function W 3,j* γ), j 1,2, 5, it can be seen in fig. 7(b) that there is a unique intersection point υ 3,1 So that W is 3,j* Y) is 0, in which case j is 1. Accordingly, as shown in FIG. 7(a), when the SNR γ ≦ ν for the direct-connected channel 3,1 Time, relay probe revenue function V 3 * (γ,2) max, so it is optimal to probe both relays; otherwise, when the direct connection channel SNR gamma is more than upsilon 3,1 Time, relay probe revenue function V 3 * And (gamma, 1) is maximum, and detection of one relay is optimal. In fig. 8 it can be seen that the simulation results for communication pair 5 are similar to communication pair 3. In order to verify the influence of channel heterogeneity on the proposed optimal access method, the system performance under different parameter configurations is simulated. As shown in table 2, the direct connection channel and the relay channel both consider 'homogeneous' and 'heterogeneous', and are specifically divided into four cases: 1) direct connection 'isomorphism' and relay 'isomorphism', the average value of the SNR of the direct connection channel is the same for different communication pairs i, and the average SNR of the relay channel is also the same for different relays j. 2) Direct connection 'isomorphism' and relay 'isomerism', average SNR of direct connection channels of all communication pairs is the same, and average SNR of relay channels of different relay nodes is different. 3) Direct connection 'heterogeneous' and relay 'isomorphism', the average SNR of direct connection channels of different communication pairs is different, and the average SNR of relay channels of all relay nodes is the same. 4) Direct connection 'heterogeneous' and relay 'heterogeneous', the average SNR of direct connection channels of different communication pairs is different, and the average SNR of different relay node channels is also different.
Table 2 channel isomorphic/heterogeneous parameter configuration
Figure GDA0003726721750000229
All communication pairs access the channel in different ways according to our proposed intelligent channel access strategy. Table 3 lists the relay detection thresholds in the case that the channel statistical characteristics of the direct connection and the relay are 'homogeneous' and 'heterogeneous', respectively, and as can be seen from the table, in particular, for communication pairs 1 and 2, the channel states of the direct connection and the relay channel are not good, and the relay detection threshold does not exist, so that an access mode in which the relay is not detected is always selected, that is, only the direct connection access is selected or abandoned. For communication pairs 3, 4 and 5, there is only one threshold v i,1 The number of probing relays is determined, i.e. when selecting further probing relay nodes, the number of relay nodes that are best probed can only be 1 or 2.
Table 3 channel isomorphism/heterogeneity simulation results
Figure GDA0003726721750000231
In order to further study the influence of network heterogeneity on the proposed optimal access method, the channel coherence time τ was simulated d The revenue function curve for each communication pair at 4 ms. FIG. 9 shows the equation when d 4ms, the difference of return function W for communication pair 3 and communication pair 5 i,j* γ), i-3, 5, j-1, 2, 5, the curve of γ, when τ is shown in fig. 5 and 6 d When the time is 1ms, both the communication pair 3 and the communication pair 5 have only one threshold, and the number of the detection relays can only be 1 or 2; when is tau d At 4ms, the communication pair 3 still has only one threshold, but the value of the threshold changes, denoted as υ 3,1 There are three thresholds for communication pair 5, labeled as v, respectively 5,1 ,υ 5,2 And upsilon 5,3 That is, the communication pair 5 can selectively probe 1-4 relay nodes, and the corresponding optimal access method changes. In summary, under the same channel condition, the increase of the channel coherence time brings higher tolerance to the sounding delay, and the number of sounding relays is increased accordingly.
In order to verify the performance optimality of the method, the method is compared with the other two conventional access methodsAnd (5) carrying out performance comparison. Two existing classical strategies are described as 1) a no-relay optimal stop strategy (NR-OS) in which a winning source only has CSI of a direct-connected channel and selects the direct-connected channel to access or abandon according to the current channel quality; 2) and (4) a full-relay optimal stop strategy (FR-OS), namely, after a winning information source obtains the CSI of the direct link, the CSI of all relay channels is obtained by detecting all relay nodes, and then the access is carried out in a mode of selecting a channel with a better channel rate from a direct connection channel and a relay auxiliary channel. FIG. 10 shows the averaging when directly connected channels
Figure GDA0003726721750000241
System throughput performance versus curve for different access methods when varying from 1dB to 7 dB. It can be seen that the optimal channel access strategy proposed by the present invention has absolute performance advantage compared with other two existing access strategies; the system throughput of the NR-OS strategy is worst, since the average SNR of the direct channel is much smaller than the average SNR of the relayed channel; the FR-OS strategy significantly improves system throughput compared to the NR-OS strategy by probing and using all relays, however, it still has a gap compared to the proposed optimal access strategy since the channel gain due to cooperative transmission cannot compensate the time cost of relay probing.
The above description is only an example of the present application and is not intended to limit the present application. Various modifications and changes may occur to those skilled in the art. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present application should be included in the scope of the claims of the present application.

Claims (3)

1. A heterogeneous wireless distributed network intelligent channel access method based on pure threshold decision is characterized in that specific definition and assumption of parameters used in the method comprise the following steps:
k signal source-signal sink pairs, wherein the signal source index number is S 1 ,...,S i ,...,S K Sink index number D 1 ,...,D i ,...,D K L relay nodes and R index number 1 ,R 2 ,...R L (ii) a All nodes assume time synchronization and compete for channels in a distributed mode on the basis of micro time slots; when each minislot starts, all sources have the same probability p 0 Independently sending a channel competition RTS packet, wherein if and only if only one information source sends the RTS packet in the same micro time slot, the information source is a winning information source, the process is called a successful channel competition, and the process from the beginning of the channel competition to the appearance of the winning information source is defined as an observation; for each observation, the time to be spent before the winning source appears is random, and since each channel contention is independent, the total number of channel contention experienced for a single observation follows a parameter Kp 0 (1-p 0 ) K-1 The mean time of a single observation is:
Figure FDA0003726721740000011
wherein tau is RTS Indicating the time of transmission of RTS packets, τ CTS Indicates the time of transmission of the CTS packet, delta indicates the duration of the idle slot, and the time of collision is represented by tau RTS Represents;
considering a random channel fading model with statistical properties, from the ith source S i To its sink D i The SNR of the direct-connection channel of (i), i.e. the ith source-sink pair channel, is represented by γ i SNR of a first hop channel from an ith source to a jth relay and a second hop channel from the jth relay to an ith sink are respectively expressed as
Figure FDA0003726721740000012
And
Figure FDA0003726721740000013
all direct-connected channels and relay channels are subject to Rayleigh fading models, and the SNR variable gamma of the channels i
Figure FDA0003726721740000014
And
Figure FDA0003726721740000015
are all subject to an exponential random distribution, which is expected to be respectively
Figure FDA0003726721740000016
And
Figure FDA0003726721740000017
the channel noise follows the Gaussian distribution of the normalized variance;
the channel coherence time is recorded as τ d Sounding relay node set
Figure FDA0003726721740000018
The signaling interaction time of all the relay nodes is recorded as
Figure FDA0003726721740000019
I | represents a modulo operation,
Figure FDA00037267217400000110
representing a set of probing relay nodes
Figure FDA00037267217400000111
The number of relay nodes; winning source-sink pair if selected to probe the set of relay nodes
Figure FDA00037267217400000112
And for the probing relay node set
Figure FDA0003726721740000021
After detection, the winning information source is accessed into the channel for data transmission in the time of
Figure FDA0003726721740000022
Achievable rate of the direct connection channel is R di )=log 2 (1+γ i ) The receiving end signal under the relay auxiliary channel access comprises a direct connection channel signal, a relay two-hop channel signal and an information source S i In probing relay node sets
Figure FDA0003726721740000023
The resulting maximum channel SNR for the source-sink pair for supplemental channel transmission through the best single relay in the probed set of relay nodes is then
Figure FDA0003726721740000024
The corresponding channel achievable rate is
Figure FDA0003726721740000025
Modeling a channel observation process after single channel competition success into two sub-observation processes, wherein for the kth observation, the obtained observation information is phi for the 2k-1 and 2k sub-observation processes, specifically for the 2k-1 sub-observation process k ={s(k),γ s(k) (k),t s (k) Where s (k) denotes the index number of the winning source in the k-th observation, γ s(k) (k) SNR, t, representing the direct channel between the winning source s (k) and its sink s (k) Representing the channel contention time of the k-th observation; then, a winning information sink d (k) corresponding to a winning information source s (k) selects a further detection relay channel, then a 2 k-time sub-observation is carried out, and observation information obtained by the 2 k-time sub-observation is represented as
Figure FDA0003726721740000026
Wherein
Figure FDA0003726721740000027
Is the set of relay nodes, γ, probed in the 2 k-th sub-observation s(k),j (k) And gamma j,d(k) (k) First-hop and second-hop channel SNRs from a source s (k) to a relay node j and from the relay node j to a sink d (k), respectively;
determining the moment of accessing the channel by the winning source, for whichThe sub-observation process of the channel competition at the previous moment carries out observation path modeling, and when the observation times | Pi | is odd, the observation path model
Figure FDA0003726721740000028
When the observation time | Pi | is even number, observing the path model
Figure FDA0003726721740000029
Wherein a is k Is a binary number with a value of 0 or 1, a k 1 indicates that after the kth channel contention, some source wins the channel and its sink gets the CSI of the direct link, a k 0 indicates that the channel competition fails, i.e. channel collision or idle occurs,
Figure FDA00037267217400000210
indicating that the winning sink further decides whether and how to probe the relaying channel,
Figure FDA00037267217400000211
indicating that the relay channel is not probed, if the probing relay channel is selected
Figure FDA0003726721740000031
Representing a set of relay nodes to be probed; for the observation path pi, the cumulatively obtained observation information is denoted as B π The revenue function is expressed as Y (pi), and when the observation times | pi | is odd,
Figure FDA0003726721740000032
Y(π)=τ d R ds(k) ) When the observation time | pi | is an even number,
Figure FDA0003726721740000033
the time cost is the time spent by all sub-observation processes plus the data transmission duration, expressed as
Figure FDA0003726721740000034
Wherein
Figure FDA0003726721740000035
Is a hypothesis indicator if it is set]If the inner hypothesis is true, the value is 1, otherwise, the value is 0; accordingly, the instantaneous throughput is determined by
Figure FDA0003726721740000036
Represents;
based on the heterogeneous wireless distributed network model, the method aims to find the optimal intelligent channel access and decision method, namely the optimal strategy N * To average the system throughput of the network
Figure FDA0003726721740000037
Most preferably, wherein
Figure FDA0003726721740000038
Representing expectation, sup represents minimum upper bound;
the heterogeneous wireless distributed network intelligent channel access method based on pure threshold decision comprises the following specific steps:
s1, obtaining the optimal average throughput of the system, the communication pair classification interval, the primary decision threshold and the relay number decision threshold through offline iterative computation according to the channel statistical characteristic parameters of the heterogeneous wireless network;
s2, carrying out channel competition by a plurality of information sources; starting from a minislot of duration delta, all sources are given a probability p 0 After sending RTS packets to contend for the channel independently, the following three situations occur:
if no source sends RTS packet in the micro time slot, the channel is idle, and all sources compete for the channel in the next time slot;
if two or more information sources send RTS data packets at the same time, packet collision occurs, and all the information sources need to continuously compete in the next time slot;
if only one information source s (k) sends an RTS packet, wherein k represents that the current channel competition is the k-th successful channel competition, and s (k) is an information source index number, the information source obtains a channel access opportunity and is called as a winning information source; an information sink d (k) corresponding to a winning information source obtains a signal-to-noise ratio gamma of a direct-connected channel by receiving RTS data packets and utilizing a training sequence carried in the RTS data packets, all relay nodes obtain SNR (signal to noise ratio) from the information source to a first hop relay channel of the relay nodes, and d (k) is an index number of the information sink;
s3, the signal sink d (k) determines the classification section to which the signal sink d (k) belongs according to the calculation result of the step S1, if so, the signal sink d (k) determines that the signal sink d (k) belongs to the classification section
Figure FDA0003726721740000041
Figure FDA0003726721740000042
For class II communication pair interval, go to step S8, otherwise
Figure FDA0003726721740000043
Figure FDA0003726721740000044
For the class i communication pair section, the process proceeds to step S4;
s4, comparing the primary decision threshold value, if the gain gamma of the direct connection channel is less than or equal to the lower primary decision threshold value
Figure FDA0003726721740000045
The destination d (k) abandons the access opportunity and returns to step S2; if the gain gamma of the direct connection channel is more than or equal to the upper limit primary judgment threshold value
Figure FDA0003726721740000046
The information destination d (k) selects the direct connection channel to perform channel access, and informs the decision result to the information source S (k), the information source S (k) performs corresponding channel access, and returns to the step S2 after the single transmission is finished; otherwise, further detecting the relay channel, and entering step S5; λ is the system average throughput;
s5, performing threshold comparison of detection relay quantity, and taking value of index number j of relay nodeFrom j i,l To j i,u ,j i,l And j i,u Respectively representing and preliminary decision threshold
Figure FDA0003726721740000047
And
Figure FDA0003726721740000048
the number of corresponding detection relay nodes is determined, and if the direct connection channel gain gamma belongs to a certain relay SNR value decision threshold interval (upsilon) s(k),js(k),j-1 ]Wherein upsilon is s(k),j L-1 is the relay SNR value decision threshold calculated in step S1, the signal sink further detects the relay node set
Figure FDA0003726721740000049
The sink d (k) sends CTS packets to the relay node and the source to be probed,
Figure FDA00037267217400000410
after receiving the CTS packet, the relay node in the network replies an RTS packet to the signal sink, wherein the RTS packet carries the information of the first hop relay channel, and the signal sink obtains a set of detection relay nodes by demodulating a training sequence in the RTS packet
Figure FDA00037267217400000411
SNR value of the post-optimal single-relay supplemental channel
Figure FDA00037267217400000412
The flow advances to step S6;
s6, if
Figure FDA0003726721740000051
λ * For the optimal average throughput of the system, the information destination d (k) selects an access mode with higher channel rate from the direct channel access and the relay auxiliary channel access, and sends a CTS packet to the information source s (k), the information source s (k) is informed of the access decision result through the CTS packet to perform corresponding channel access,proceeding to step S7; otherwise, abandoning the access opportunity, and returning to the step S2;
s7, if
Figure FDA0003726721740000052
Then the source s (k) is subsequent
Figure FDA0003726721740000053
Reachable rate R in direct-connected channel within time d (gamma) transmitting information, and returning to the step S2 after the transmission is finished; otherwise, the source s (k) is at the maximum achievable rate under the relay supplemental channel
Figure FDA0003726721740000054
The transmission is carried out in two stages, in the first stage the source s (k) broadcasts data to its sink and all relay nodes, and in the second stage the index is
Figure FDA0003726721740000055
Forwards the received signal to the sink, gamma s(k),l For the SNR value of the single relay auxiliary channel with index l, then the sink will receive two signals from the direct connection channel and from the relay auxiliary channel with transmission time of
Figure FDA0003726721740000056
Returning to step S2 after the transmission is finished;
s8, if
Figure FDA0003726721740000057
Then the destination d (k) selects direct channel access, then the destination d (k) sends CTS to the source s (k) and all other sources, let the source s (k) follow τ d Within time, at an achievable rate R d (gamma) data transmission on direct connection channel, all other sources at tau d Wait in time, passing tau d After the time, the single transmission ends, and the step returns to step S2; otherwise, the destination d (k) gives up the access opportunity and broadcasts CTS packet to all sourcesThe node, all the information sources restart the channel competition in the next time slot, and the step S2 is returned to;
in the step S1, the specific calculation procedure is,
probing relay node set of ith source-sink pair
Figure FDA0003726721740000058
The revenue function of (a) is defined by the expression:
Figure FDA0003726721740000059
in which the channel coherence time is recorded as tau d The achievable rate of the direct connection channel is R d (γ)=log 2 (1+ gamma), gamma is the signal-to-noise ratio variable of the channel, U 0 (λ) represents the maximum average benefit of giving up access, λ is the average throughput of the system, and is a continuous random variable, and the defined expression of the benefit function is developed to obtain:
Figure FDA0003726721740000061
wherein
Figure FDA0003726721740000062
Expressing probability, expressing the definition expression of the gain function as an analytic expression according to the channel statistical characteristics and the probability distribution of the wireless heterogeneous network to obtain
Figure FDA0003726721740000063
Wherein, the set of relay nodes to be detected is represented as
Figure FDA0003726721740000064
i 1 ,i 2 ,...,i J Indicating a set of relay nodes to be probedThe index sequence number of the j detection relay of the ith source-sink pair has a sequencing relation i 1 <...<i j <...<i J To a set of
Figure FDA0003726721740000065
The starting point of the summation may be any one of the relays and is therefore denoted as
Figure FDA0003726721740000066
That is, the sum of the relay nodes taking any point in the relay node set as the starting point is expressed as
Figure FDA0003726721740000067
The mean function of gamma is beta when the j relay node is detected j (γ)=c i,j 1, corresponding threshold function
Figure FDA0003726721740000068
Figure FDA0003726721740000069
Indicating the SNR threshold at which access is given up,
Figure FDA00037267217400000610
E 1 (x) Is an exponential integral function, specifically expressed as
Figure FDA00037267217400000611
Figure FDA00037267217400000612
Indicates that the SNR of the channel is gamma at the ith source-sink pair i Probing a set of relay nodes
Figure FDA00037267217400000613
Temporal relay supplemental channel SNR variant
Figure FDA00037267217400000614
The cumulative probability distribution function of (a), in particular,
Figure FDA0003726721740000071
wherein
Figure FDA0003726721740000072
λ * For the optimal system average throughput, when λ is λ ═ λ, for the optimal system average throughput achievable under the current network channel conditions * In time, a revenue function for detecting relays under optimal system average throughput is defined
Figure FDA0003726721740000073
The analytical expression is as follows:
Figure FDA0003726721740000074
wherein is beta' j (γ)=c i,j ·(α(λ * ,γ)-1),
Figure FDA0003726721740000075
For the source S i 1,2, K and relay R j J 1, 2.. said, L, the optimal set of relay nodes is defined to implement the maximum revenue function
Figure FDA0003726721740000076
Represented as a set of relay nodes
Figure FDA0003726721740000077
Wherein σ i,j Indicates that mu in all relay channels when j relay nodes are detected i,j The index number of the relay node with the smallest value,
Figure FDA0003726721740000078
thus is provided with
Figure FDA0003726721740000079
Figure FDA00037267217400000710
Represents the set of all relay nodes in the network;
for the source node S i I 1, 2. -, K and relay node R j 1, 2.. L, defining a threshold function based on the number of relays
Figure FDA00037267217400000711
And source-based threshold function
Figure FDA00037267217400000712
For i 1,2, K and j 1,2, 1 i,j* ,γ)=V i * (γ,j+1)-V i * (γ, j), let W i,j* When γ) is 0, the decision threshold for solving the relay SNR value γ is { υ i,j } i=1,2,...,K,j=1,2,...,L-1
Primary decision threshold
Figure FDA00037267217400000714
Is defined as the revenue function V since for each fixed j i * (γ, j) monotonically increases with γ, and thus, is defined
Figure FDA0003726721740000085
Is an equation
Figure FDA0003726721740000086
The unique solution of (a); likewise, the difference function τ d (R d (γ)-λ * )-V i * (γ, j) monotonically increasing with γ, define
Figure FDA0003726721740000087
Is an equation
Figure FDA0003726721740000088
The unique solution of (a); for each fixed i, a primary decision threshold is defined
Figure FDA0003726721740000081
Wherein
Figure FDA0003726721740000089
For the purpose of the lower primary decision threshold,
Figure FDA00037267217400000810
is an upper primary decision threshold;
for the index number of the sounding relay, two sounding relay index values are defined as
Figure FDA00037267217400000811
j i,l And j i,u Respectively representing and preliminary decision thresholds
Figure FDA00037267217400000812
And
Figure FDA00037267217400000813
the number of corresponding detection relay nodes;
optimal system average throughput lambda * Satisfies the equation:
Figure FDA0003726721740000082
wherein, the first term on the left side τ d R di )-λτ d Representing the gain of the direct connection channel, the second term U on the left 0 (λ)=E[max{τ d R di )-λτ d ,U 0 (λ),V i *i )}]-λτ o It is clear that when λ ═ λ * While, U 0* ) 0, the third term V on the left i *i ) Is a threshold function based on the information source i, and represents that when the SNR of the direct connection channel is gamma i Detecting the maximum expected benefit of the relay channel;
for λ > 0, when
Figure FDA00037267217400000814
While, U 0 The expression of (lambda) is as follows,
Figure FDA0003726721740000083
for λ > 0, when
Figure FDA00037267217400000815
While, U 0 The expression of (lambda) is as follows,
Figure FDA0003726721740000084
wherein eta is i,0 (λ) to satisfy equation R d (x) A unique solution for λ;
due to the revenue function V i * (γ) increases monotonically with γ, so for λ > 0, when V i * (2 λ When the content is less than or equal to-1) and less than or equal to 0,
Figure FDA0003726721740000091
when V is i * (2 λ -1) > 0, and (c),
Figure FDA0003726721740000092
defining the classification interval of the information source-information sink pair according to the gain function, when V is i * (2 λ -1) > 0 and
Figure FDA0003726721740000093
time, corresponding source-sink pair
Figure FDA0003726721740000094
Figure FDA0003726721740000095
Is a class I communication pair interval; otherwise
Figure FDA0003726721740000096
Figure FDA0003726721740000097
Is a class ii communication pair interval.
2. The pure threshold decision based intelligent channel access method for heterogeneous wireless distributed networks according to claim 1,
the heterogeneous wireless distributed network comprises K information source-information sink pairs and L amplification forwarding relay nodes, and the selectable access modes of the information source-information sink pairs comprise three types: accessing a direct connection channel when the relay node is not detected; accessing a relay auxiliary channel; the direct connection channel access is realized when a certain number of relay nodes are detected, and the mode detects the certain number of relay nodes, but the channel condition of the direct connection channel is found to be better, so that the direct connection channel is selected for access; RTS, which represents a request-to-send packet, is a data packet in a channel sensing access protocol and is used for detecting the occupation condition of a channel and estimating the channel quality by a sending node user; CSI, data information representing channel state information and reflecting real-time conditions of a wireless channel; the CTS, which indicates a clear-to-send packet, is a data packet of a channel aware access protocol, and is used by the receiving node to respond to the sending node.
3. The pure threshold decision based intelligent channel access method for heterogeneous wireless distributed networks according to claim 1,
calculating the average throughput lambda of the optimal system * And sorting pairs of intra-network communicationsThe off-line iterative computation comprises the following specific steps:
s11, inputting channel parameter tau RTS 、τ CTS 、τ d
Figure FDA0003726721740000098
And
Figure FDA0003726721740000099
s12, inputting an initialization parameter, wherein k is the iteration number, and the initial value is 0 and lambda k As a result of the kth iteration, Δ k Is the precision of the kth iteration, with initial values of λ 0 =0、Δ 0 The convergence threshold of the iterative algorithm is 1, and epsilon is set according to the precision requirement, and the typical value is 10 -3 And alpha is the step length of iterative update, and the value of alpha satisfies
Figure FDA00037267217400000910
S13, judging the iteration precision delta of the k time k Whether a precision convergence threshold epsilon is reached, if delta k If not, continuing the iteration until the k-th iteration precision does not reach the precision convergence threshold, and entering step S14, otherwise, ending the iteration and entering step S17;
s14, calculating the result lambda of the (k + 1) th iteration k+1 ,λ k+1 =λ k +αΔ k
S15, calculating the communication pair classification section updated by the iteration number k as k +1
Figure FDA0003726721740000102
S16, calculating the iteration precision delta after the iteration times k are updated k
Figure FDA0003726721740000101
Returning to step S13;
s17, finishing the iteration, wherein the iteration result is the optimal system average throughput with lambda * =λ k Calculating
Figure FDA0003726721740000103
And
Figure FDA0003726721740000104
s18, outputting the average throughput lambda of the optimal system * And communication pair classification interval
Figure FDA0003726721740000105
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