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Table 1 Nomenclature

From: Analysis of transmit power setting technique for cognitive radio networks

General

 

MATP

Maximum allowable transmit power

CTP

Constraint target probability

RSS

Received signal strength

PB, PN, SB, SN

Primary base station, primary network, secondary

 

base station, secondary network

B

Bandwidth for PN operation

P C

Constraint probability in (4)

\(\dot {\mathrm {P}}_{\text {C}}\)

Constraint target probability (CTP)

(Z)

Type of MATP such as MATP-Z where Z is P,

 

C, or I

μ and ν

Mean and variance

C down

Downlink capacity for SN

\(\bar {C}_{\text {down}}\)

Average downlink capacity for SN

Location and distance

 

r c,p

Radius of coverage of the PN

r c,s

Radius of coverage of the SN

d

Distance from PB

Δ d g

Additional separation radius

d g

=r c,p +Δ d g : radius of extended PN coverage

\(d_{\text {PU}-\text {SU}_{n}}\phantom {\dot {i}\!}\)

Distance between the PB and the SU n

\(d_{\text {SU}_{0}}\phantom {\dot {i}\!}\)

Distance between the PB and the SB

\(\hat {d}_{\text {SU}_{0}}^{(Z)}\phantom {\dot {i}\!}\)

Estimated \(d_{\text {SU}_{0}}\phantom {\dot {i}\!}\)

d m (or \(d_{\mathrm {m}}^{(Z)}\))

Transmit decision margin

Transmission, propagation, and reception

\({T}_{\text {PU}_{0}}\phantom {\dot {i}\!}\)

Transmit power of the PB in dB

\({T}_{\text {SU}_{0}}\phantom {\dot {i}\!}\)

Transmit power of the SB in dB

\(T_{\text {SU}_{0}, \text {max}}^{(Z)}\phantom {\dot {i}\!}\)

MATP

T m (or \(T_{\mathrm {m}}^{(Z)}\))

Transmit power margin

D T

Binary transmit decision variable (0 or 1)

L(d)

Path loss

\(X_{\text {PU}_{0} \rightarrow \text {SU}_{n}, \sigma _{x}}\phantom {\dot {i}\!}\)

Attenuation due to shadowing in the link

 

between PU0 and SU n

\({\sigma _{x}^{2}}\)

Variance of log-normal shadowing model

\({R}_{\text {PU}_{0} \rightarrow \text {SU}_{n}}\phantom {\dot {i}\!}\)

RSS level from the PB transmission at SU n

\(\bar {R}_{\text {PU}_{0} \rightarrow \text {SU}_{n}}\phantom {\dot {i}\!}\)

RSS level without the shadowing effect

\(\hat {R}^{(Z)}\)

Estimated \(\bar {R}_{\text {PU}_{0} \rightarrow \text {SU}_{0}}\phantom {\dot {i}\!}\)

I PU

Interference level at the PU receiver at the edge

 

of PN coverage

\(\bar {I}_{\text {PU}}\)

Interference level without the shadowing effect

I th

Allowable interference level at the PU

PU and SU

 

PU0

PB

SU0

SB

SU n (n=1,â‹Ż,N s )

nth SU terminal

N s

Number of SU terminals