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Table 1 List of used notations.

From: Probabilistic framework for opportunistic spectrum management in cognitive ad hoc networks

Parameter

Definition

n

Propagation path loss exponent

d c

Distance beyond which the interference is negligible (i.e., below the receiver sensitivity)

λ (i)

Operating wavelength of the i th PRN

G T ( i )

Transmit antenna gain of the i th PRN

G R ( i )

Receive antenna gain of the i th PRN

d o ( i )

Close-in distance of the i th PRN

P o ( i )

Reference power at the close-in distance of the i th PRN P o ( i ) = P PU ( i ) G T ( i ) G R ( i ) λ ( i ) 2 4 π d o ( i ) 2

α i

Activity factor of the i th PRN

ρ i

User density of the i th PRN

ρ SU

User density of the CRN

P ma sk ( i )

Power mask of the i th PRN

P max ( i )

Maximum SU power to be used over the i th spectrum

R max ( i )

Maximum SU rate to be used over the i th spectrum

R max - 1 ( i )

Second highest SU rate to be used over the i th spectrum

R 1

Minimum SU rate

erfc(·)

Complementary error function [20]