Joint Subchannel Pairing and Power Control for Cognitive Radio Networks with Amplify-and-Forward Relaying

Algorithm 2

Optimal solution to (5).

(1) Initiate the value of 𝝀(𝟎),

(2) for   𝑡=1 to the maximum number of iterations, do

(3) Calculate transmission power 𝑃^𝑠_𝑛,𝑚 and 𝑃^𝑟_𝑛,𝑚,∀𝑛∈𝐍,∀𝑚∈𝐍 by (18) and (19), respectively.

(4) Substitute 𝑃^𝑠_𝑛,𝑚 and 𝑃^𝑟_𝑛,𝑚,∀𝑛∈𝐍,∀𝑚∈𝐍 into 𝑈_𝑛,𝑚 in (13).

(5) Determine the optimal value of 𝜌_𝑛,𝑚, ∀𝑛∈𝐍,∀𝑚∈𝐍 by the Hungarian method.

(6) Update 𝝀(𝑡) by (10).

(7) end for