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SCIENTIA SINICA Informationis, Volume 51 , Issue 1 : 139(2021) https://doi.org/10.1360/SSI-2020-0006

Resource management scheme for full-duplex device-to-device vehicular communication using hypergraph clustering and interference limited area theory

More info
  • ReceivedJan 6, 2020
  • AcceptedMar 25, 2020
  • PublishedJan 5, 2021

Abstract


Funded by

国家自然科学基金(61872406,61472094)

浙江省重点研发计划项目(2018C1059)


References

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  • Figure 1

    (Color online) Communication scenario

  • Figure 3

    Data structure

  • Figure 4

    (Color online) The diagram of clustering based on HG-C strategy

  •   

    Algorithm 1 Hyperedge coarsening and cluster dividing based on DLD at the distributed VUE

    Require:$d_{\max~}^{V}$;

    while Beacon information do

    ${V_n}$ receives Beacon information, calculates ${D_{{V_n},{V_m}}}(t)$ by the formula of (9), creates the neighborhood list of ${V_n}$, and initializes $L({V_m},{V_n})=1$, where ${V_m}~\in~{\rm{Nei}}\left(~{{V_n}}~\right)$;

    if ${\rm{Nei}}\left(~{{V_n}}~\right)~=~\emptyset~$ then

    ${V_n}~\in~{{\cal~V}_{h'}}$;

    else

    Calculate ${\bar~D_{{V_n}}}(t)$ by the formula of (10), and broadcast to ${\rm{Nei}}\left(~{{V_n}}~\right)$;

    Update the neighborhood list, and find out ${\bar~D_{{V_{\max~}}}}(t)$ with the max value of ADLD, ${V_{\max~}}~\in~{\rm{Nei}}\left(~{{V_n}}~\right)$;

    if ${\bar~D_{{V_n}}}(t)~>~{\bar~D_{{V_{\max~}}}}(t)$ then

    ${V_n}$ sends an join request to ${V_{\max~}}$, and resets $L({V_{\max~}},{V_n})~=~2$;

    else

    Mark ${V_n}$ as a candidate cluster head, and form a coarsening hyperedge; then update the member list of the candidate cluster, and set $L({V_m},{V_n})~=~2$, ${V_m}~\in~c'\left(~{{V_n}}~\right)$;

    end if

    end if

    if $\forall~L({V_m},{V_n})~=~2$, ${V_m}~\in~{\rm{Nei}}\left(~{{V_n}}~\right)$ then

    $c'\left(~{{V_n}}~\right)$ is a closed hyperedge, and the vehicles in the hyperedge ${{\cal~G}_{{V_n}}}$ are divided into a cluster $c\left(~{{V_n}}~\right)$;

    else

    Send the neighbor list and cluster member list to the base station;

    if the related cluster members receive the cluster division result of the base station then

    Send a join invitation to the corresponding member according to the member list divided by the base station, and then perform step 9;

    else

    ${V_n}$ joins the corresponding cluster according to the invitation of the cluster head;

    end if

    end if

    end while

  • Table 1   Symbol definition
    Symbol Definition
    ${\cal~G}~=~\{~{{{\cal~G}_1},{{\cal~G}_2},~\ldots,~{{\cal~G}_g}~,\ldots~,{{\cal~G}_G}}~\}$ The number of clusters is $G$ by vehicle division in this cell
    ${{\cal~D}_g}~=~\{~{{\cal~D}_1^g,{\cal~D}_2^g,~\ldots,~{\cal~D}_d^g~,\ldots,{\cal~D}_{{N_{{C},g}}}^g}~\}$ The number of FD-D2D links is ${N_{{C},g}}$ in the $g$-th cluster
    ${\cal~D}_d^g~=~\{~{V_{\rm{h}}^g,V_{m,d}^g}~\}$ The set of VUE transceivers with $d$-th FD-D2D link in the $g$-th cluster
    ${{\cal~G}_g}~=~\left\{~{V_{\rm{h}}^g}~\right\}~\cup~\{~{V_{m,x}^g|x~=~1,2,~\ldots~{\rm{,}}{\kern~1pt}~{N_{C,g}}}~\}$ The set of VUEs in the $g$-th cluster, $V_{\rm{h}}^g$ denotes cluster-head, $V_{m,x}^g$ denotes cluster-member.
    $c\left(~{V_{\rm{h}}^g}~\right)~=~\{~{V_{m,x}^g|x~=~1,2,~\ldots~{\rm{,}}{\kern~1pt}~{N_{C,g}}}~\}$ The set consisting of $N_{C,g}$ cluster-members in the $g$-th cluster.
    ${\cal~C}_d^g{\rm{~=~}}\{~{C_{{\cal~D}_d^g}^1,C_{{\cal~D}_d^g}^2,~\ldots~,C_{{\cal~D}_d^g}^{K_d^g}}~\},{\cal~C}_d^g~\in~{\cal~C}'$ The set of the $K_d^g$ CUE spectrums of sharing for the $d$-th FD-D2D link in the $g$-th cluster.
    ${\cal~C}_g^{\rm~h}~=~\{~{{\cal~C}_1^g,{\cal~C}_2^g,~\ldots~,{\cal~C}_{{N_{D,g}}}^g}~\},{\cal~C}_g^{\rm~h}~\in~{\cal~C}'$ The set of CUE spectrums used by cluster-head multicast in the $g$-th cluster.
    ${{\cal~D}_{{C_n}}}~=~\{~{{\cal~D}_1^n,{\cal~D}_2^n,~\ldots~,{\cal~D}_{{I_n}}^n}~\},{C_n}~\in~{\cal~C}'$ The set of ${I_n}$ FD-D2D links reuses the spectrum of ${C_n}$.
  •   

    Algorithm 2 Dividing of related cluster sets based on adjacency matrix at the base station

    Require:Neighbor list and the cluster member list of candidate cluster head, $i~=~1$;

    The base station integrates the neighbor list of all candidate cluster heads to establish an adjacency matrix $A$;

    Perform block diagonalization on matrix $A$ to obtain block diagonal matrix $B$;

    Extract the non-zero blocks on the diagonal of matrix $B$ to obtain the adjacency matrix of the related cluster set ${{\cal~G}_{\rm{r}}}{\rm{~=~}}\left\{~{{{\cal~G}_{{\rm{r,1}}}},{{\cal~G}_{{\rm{r,2}}}},~\ldots~,{{\cal~G}_{{\rm{r,}}{N_{\rm~r}}}}}~\right\}$;

    while $i~\leqslant~{N_{\rm~r}}$ do

    Freely combine the column vectors of the adjacency matrix of the related cluster set ${{\cal~G}_{{\rm{r,}}i}}$, and take out the effective cluster head set ${\cal~C}_{{\rm{r,}}i}^{\rm{h}}$ with full rank;

    Find out the combination ${\cal~C}_{{\rm{r,}}i}^{{\rm{h,min}}}$ with the least number of cluster heads in ${\cal~C}_{{\rm{r,}}i}^{\rm{h}}$;

    if the number of cluster head combinations in ${\cal~C}_{{\rm{r,}}i}^{{\rm{h,min}}}$ is greater than one then

    Find out the combination with the most weighted in ${\cal~C}_{{\rm{r,}}i}^{{\rm{h,min}}}$, and delete other combinations;

    end if

    Divide VUE to the candidate cluster with the largest connection weight;

    $i~+~~+~$;

    end while

  • Table 2   Parameter
    Parameter Value Unit
    The radius of the cell 500 m
    Shadow fading 2 dB
    The SINR threshold for cellular links 12 dB
    The maximum transmit power for CUE ($P_{\max~}^{C}$) 23 dBm
    The power of Gaussian white noise $-$174mW
    Interference signal ratio at the base station (${\lambda~_B}$) 0.01
    Path loss factors (${\alpha~_0},{\alpha~_1},{\alpha~_2}$) 3, 4, 3.5
    The weighting factors for DLD (${\bf{\beta~}}$) 0.3, 0.1, 0.55, 0.05
    The number of CUEs 40, 90, 160
    The number of VUEs 500
    Maximum communication distance between vehicles 20–300 m
    Vehicle speed 40–50 km/h