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. 2022 Apr 22;22(9):3217. doi: 10.3390/s22093217

Table 2.

Notation definitions.

Notation Description
ΦG The set of GNs.
ΦV The set of VNs.
M The number of GNs.
K The number of VNs.
Ln The number of time slots included in decision epoch n.
hm(τ) Channel vector between GN m and the BS at time slot τ.
y(τ) Received signal of the BS at time slot τ.
ρm Normalized temporal channel correlation coefficient of GN m.
H(τ) Channel matrix from all the nodes to the BS at time slot τ.
γm(τ) The receiving SINR of GN m at time slot τ.
ϕm(n) ZF detection vector for GN m at time slot τ.
λm Task arrival rate of GN m.
Um(n) Queue length of GN m’s task buffer at decision epoch n.
am(n) Number of task arrivals of GN m at decision epoch n.
fm(τ) CPU frequency scheduled for local execution of GN m at time slot τ.
Cm(Fm) CPU cycles required per one task bit (allowable CPU-cycle frequency) at GN m.
po,m(n) Transmission power of GN m for computation offloading at decision epoch n.
do,m(τ)(Do,m(n)) Data transmitted by GN m for computation offloading at time slot τ (decision epoch n).
pl,m(n) Power consumption of GN m for local execution at decision epoch n.
dl,m(τ)(Dl,m(n)) Data processed by GN m via local execution at time slot τ (decision epoch n).
Po,m(Pl,m) Maximum transmission power (local execution power) of GN m.
νm(τ) Computation rate of GN m during time slot τ.
Y(n) The set of stakes IoT nodes hold at decision epoch n.
Im(n)(IP(n)) Block interval of GN m (PN) at decision epoch n.
TF(n) Latency time to finality at decision epoch n.
SB(n) Block size at decision epoch n.
Ξ(n) Blockchain transaction throughput at decision epoch n.