Optimal Energy-Efficient Sensing and Power Allocation in Cognitive Radio Networks

Algorithm 1

Fractional programming to solve problem (20a)–(20c) without the constraint (20b).

Initialization: 𝜆₀ satisfying 𝐹(𝜆₀)>0, tolerance 𝜌, 𝑛=0

While  𝐹(𝜆_𝑛)>𝜌

     Given  𝜆=𝜆_𝑛, solve optimal 𝐩_𝑛(𝜆) through (23).

     𝜆_𝑛+1=𝜂(𝐩(𝜆))

     𝑛←𝑛+1

 end

Output: optimal 𝜆^∗=𝜆_𝑛 and 𝐩^∗=𝐩_𝑛(𝜆).