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Table 1 Summary of the functions and symbols

From: Performance analysis of ultra-reliable short message decode and forward relaying protocols

bpcu

Bit per channel use

CSI

Channel state information

DF

Decode and forward

DT

Direct transmission

EE

Energy efficiency

EPA

Equal power allocation

FB

Finite blocklength

IFB

Infinite blocklength

mMTC

Massive machine-type communication

MRC

Maximum ratio combining

MTC

Machine-type communication

OPA

Optimal power allocation

PDF

Probability density function

QOS

Quality of service

RV

Random variable

SC

Selection combining

SH

Single hop

SNR

Signal to noise ration

URLLC

Ultra-reliable low latency communication

URR

Ultra reliable region

fW(.)

Probability density function

E(.)

Expectation

Q(.)

Q-function

C(ρ)

Shannon capacity

V(ρ)

Channel dispersion

Q−1(.)

Inverse of Q-function

e

Exponential Euler’s number

y

Received signal

h

Fading channel

w

AWGN noise

k

Information bits

x i

Transmitted signal

n

Number of channel uses

log2

Logarithm to the base 2

n S

Number of channel uses for source

n R

Number of channel uses for relay

d SD

Distance of source-destination link

d SR

Distance of source-relay link

d RD

Distance of relay-destination link

E

Energy efficiency

P

Total power

P R

Power of relay

P S

Power of source

P TX

Power of transmitter

P RX

Power of receiver

P PA

Power of amplifier

P succ

Probability of successful transmission

P max

Maximum total power

N 0

Power of noise

Ω

Instantaneous SNR

γ

Average SNR

ρ

Average power constraint

η

Power allocation factor

\(\mathcal {R}\)

Maximum coding rate

ϕ

Drain efficiency

ε

Outage probability