Efficient and Accurate Optimal Linear Phase FIR Filter Design Using Opposition-Based Harmony Search Algorithm

Algorithm 1

HS Algorithm.

Step 1. Set the parameters, HMS, HMCR, PAR, BW, NI and 𝑛.

Step 2. Initialize the HM and calculate the objective function value for each harmony vector.

Step 3. Improvise the HM filled with new harmony 𝑋^new vectors as follows:

     for 𝑗=0;𝑗<𝑛;𝑗++

     if  𝑟₁<𝐻𝑀𝐶𝑅 then

      𝑥^new_𝑗=𝑥^𝑎_𝑗               // 𝑎∈(1,2,…,𝐻𝑀𝑆)

       if  𝑟₂<𝑃𝐴𝑅 then

        𝑥^new_𝑗=𝑥^new_𝑗±𝑟₃×𝐵𝑊          // 𝑟₁,𝑟₂,𝑟₃∈[0,1]

       end if

     else

        𝑥^new_𝑗=𝑝𝑎𝑟𝑎_𝑗^min+𝑟×(𝑝𝑎𝑟𝑎_𝑗^max−𝑝𝑎𝑟𝑎_𝑗^min)       // 𝑟∈[0,1]

    end if

     end for

Step 4. Update the HM as 𝑋^worst=𝑋^new if 𝑓(𝑋^new)<𝑓(𝑋^worst).

Step 5. If 𝑁𝐼 is completed, return the best harmony vector 𝑋^best in the HM; otherwise go back to Step 3.