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Title"How URLLC can Benefit from NOMA-based Retransmissions"
Author:Radosław Kotaba, Carles Navarro Manchon, Tommaso Balercia, ´and Petar Popovski
Note:通过这篇论文，初步了解了结合NOMA的HARQ以及不同描述CSI情况下的优化调度问题。
BS Operation
Symbols used
b:probability of the new packets generating
N:device numbers
L: index of slot
W:number of resources
K:number of channel uses,i.e. symbols, the same for packets of each UE
B: same amount of B information
R:rate =B/K(bits/symbole)
y i = ∑ j ∈ Γ i P i , j g i , j x i , j + n i \bold y_i =\sum_{j \in\Gamma^i}\sqrt{P_{i,j}}g_{i,j}\bold x_{i,j}+\bold n_i yi=∑j∈ΓiPi,jgi,jxi,j+ni
P i , j ∈ N P_{i,j}\in\mathbb N Pi,j∈N :transmit power of user j in TF-block i
g i , j ∈ C g_{i,j}\in\mathbb C gi,j∈C and g i , j = h i , j d j α g_{i,j}=\frac{h_{i,j}}{\sqrt{d_j^\alpha}} gi,j=djαhi,j ：channel between j-th UE and BS over the i-th TF-block,where h i , j h_{i,j} hi,j is Rayleigh fading component, i.i.d zro mean circularly symmetric complex BGaussian random variable with unit variance, d j ∼ U ( D m i n , D m a x ) d_j\sim U(D_{min}, D_{max}) dj∼U(Dmin,Dmax) is uniformly distributed
x i , j ∈ C K \bold x_{i,j}\in\mathbb C^K xi,j∈CK :complex additive white Gaussian noise with zero mean and variance σ 2 \sigma ^2 σ2
HARQ with Statistical CSI
QMA-HARQ
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The SNR of the packet received from user j is distributed as follow
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the decoding failure probability after l-th attempt (counting from 0 as the initial one) is given
When IR-HARQ is used, then
rearrange the equation above with the last packet realization since all the previous SNRs are already known by introducing two terms γ c c j l \gamma_{cc_j} ^l γccjl and γ i r j l \gamma_{ir_j} ^l γirjl
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error probability
mininum power required,
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optimization problem
BS’s goal is to spend (on average) as little power on a packet as possible while providing certain reliability guarantees
for different mechanism ,it can be simplified
Chase Combinine:
Incremental Redundancy
NOMA-HARQ
1.defining the error probability of the transmission over shared
channel resources.
Term1:error probability with interferer’s signal decoded and canceled
Term2:the case when SIC is not successful
Closed form:
- Optimization problem
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