Skip to main content

Table 1 List of key symbols

From: On achieving network throughput demand in cognitive radio-based home area networks

Symbol

Description

D

Demanded throughput

\(\mathcal {H}_{0}\)

Hypothesis of the channel is idle

\(\mathcal {H}_{1}\)

Hypothesis of the channel is occupied

i

Channel’s number

I

Total active in-band channel in the cluster

j

CR-based HAN device’s number

J

Total number of CR-based HAN devices in the HAN

K

Total number of devices that decides the sensed channel

 

is occupied

L

Total number of local spectrum sensing samples within a

 

sensing period

N

Total number of cooperating nodes for cooperative

 

spectrum sensing

P f

Local probability of false alarm

P d

Local probability of detection

Q f

Cooperative probability of false alarm

Q d

Cooperative probability of detection

R

Achievable throughput

u[ l]

Received incumbent signal during the l-th sample

SNR p

SNR of the incumbent signal measured at the CR-device

T f

Frame duration

T css

Cooperative spectrum sensing time

T s

Local spectrum sensing time

T sr

Time duration for sending a single local sensing report

T t

Data transmission time

w[l]

Noise signal during the l-th sample

α

Fraction of data transmission time from the frame time

ε

Difference between the achievable and the demanded

 

throughput

Ï„

Sampling time

γ

Local spectrum sensing threshold