论文学习---Resource allocation in EE URLLC in Relay System

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Title:Resource Allocation in Energy-Efficient URLLC Multi-user Multicarrier AF Relay Networks
Author:Keshav Singh†, Meng-Lin Ku‡, and Mark F. Flanagan†
学习目标：
系统架构：多用户多载波AF系统
性能指标：最大化能效
方法：联合优化发射功率，子载波配对及分配，
约束：误解码概率，总发射功率，子载波配对
数学问题：非凸问题及其转化
仿真结论：the impact of various system parameters on EE

Introduction

Relay： improving the EE and spectral efficiency (SE) as well as extending coverage area。
multicarrier(MC) transmission：enhance the multiuser system capacity and reliability by exploiting the multi-user/MC diversity and flexibility in the resource allocation.

Systme Model

• Symbols used
  K：URLLC paired users，S = {S1, S2, . . . , SK} and D = {D1, D2, . . . , DK},
  M：numbers of subcarriers used for transmission in each hop
  Pmax: maximum transmission power budget
  Channel: Rayleigh fading
  Lk: information bits for k-th user
  dk：a block code of length dk symbos,same for all users as d
  单天线，无直传链路，半双工
  $h_k^m$: channel coefficient between user Sk and the relay node ont the m-th subcarrier
  $x_k^m[n]$:symbol transmitted by Sk on the m-th subcarrier with nomalized mean.

• received signal
  at the relay node
  
  at the receiver by user Dk on subcarrier $m^{\prime }$
  
  ${\alpha }^{m^{\prime }}[n]$:amplification factor
  

• SINR
  

• Achievable Rate
  approximation for the real AWGN channel with FBL coding
  $\gamma$ :SNR
  $ϵ$:decoding error probability
  $\overline{m}$:blocklength
  $C(\gamma )=lo{g}_2(1+\gamma )$
  complex quasi-static fading channel
  

Problem Fromaulation

Target: maximum the EE(throuput over power)

• Throughput
  minimize the interference terms-----adopt a subcarrier pairing and allocation approach
  ${\Omega }_k^{(m,m^{\prime })}\in 0,1$ : binary variable for subcarrier pairing and allocation, if it is 1 , which means the m-th subcarrier in MA phase is paired with m’-th subcarrier in BC phase and assigned to the k-th user.
  achieva ble rate of the k-th user pair
  
  

1/2—require two phases
P k = { P k ( m ) } \bold P_k=\{P_k{(m)}\} Pk​={Pk​(m)} P r = { P r ( m ′ ) } \bold P_r=\{P_r{(m')}\} Pr​={Pr​(m′)} Ω = { Ω k ( m , m ′ ) } \bold \Omega=\{\Omega_k{(m,m')}\} Ω={Ωk​(m,m′)}
${ϵ}_k$:PEP of the k-th user pair
Throughput:

• Power consumption
  Transmit power(depends on channel conditions,cell coverages…)+processing power+circuit power(static power,depends on the number of antennas)
  
• Problem formulation
  
  

Nmerical Results

• Simulation parameters
  maximum number of iterations:Lmax=15
  transmit power budget:Pmax=15dBm
  covergence tolerance:$10^{-5}$
  bandwidth of each subcarrier:15kHz
  path loss model:$35.3+37.6\ast lo{g}_{10}(d)$,where d=100m
  static power consumption:PST=10dBm
  thermal noise density:-174dBm
  ${ϵ}_{k,max}=10^{-5}$ or$10^{-7}$

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