Research Article

The SS-SCR Scheme for Dynamic Spectrum Access

Table 1

Notations.

Symbol Definition

P U T x , P U R x PU transmitter, PU receiver
( 𝑖 , 𝑗 ) Edge between nodes 𝑖 and 𝑗
𝑇 𝑖 The set of nodes that node 𝑖 can transmit
to and receive from
( 𝑚 ) 𝑖 𝑗 Channel gain on edge ( 𝑖 , 𝑗 ) and band 𝑚
𝑥 ( 𝑚 ) 𝑖 𝑗 Band assignment on edge ( 𝑖 , 𝑗 ) and band 𝑚
𝑃 ( 𝑚 ) 𝑖 𝑗 Power allocation on edge ( 𝑖 , 𝑗 ) and band 𝑚 (W)
𝑃 𝑇 ( 𝑚 ) 𝑖 , 𝑗 Detection threshold of band 𝑚 on edge ( 𝑖 , 𝑗 ) (W)
𝑃 𝐼 Interference threshold of a node (W)
𝑃 p e a k Maximum power that can be transmitted on
a frequency band (W)
𝑃 n o d e 𝑖 / 𝑃 a v l 𝑖 Power available at node 𝑖 (W)
𝐼 𝑚 𝑗 Set of nodes that can interfere with node 𝑗
on band 𝑚
𝜎 2 Additive white Gaussian noise (AWGN)
variance (W)
Node set of the entire network
𝕄 Band set of the entire network
𝔼 Edge set of the entire network
𝕃 Set of SU sessions in the entire network
𝑠 ( 𝑙 ) , 𝑑 ( 𝑙 ) Source of session 𝑙 , destination of session 𝑙
𝑓 𝑖 𝑗 ( 𝑙 ) Flow on edge ( 𝑖 , 𝑗 ) and band 𝑚 for session 𝑙 (bps)