Sparse Antenna Array Design for MIMO Radar Using Multiobjective Differential Evolution

Algorithm 2

Sparse antenna array design using MODE.

Input: , , , , , .

Step 1. Initialization: Generate random solutions using (16), and generate opposite solutions using opposition-based

learning.

Step 2. Coding: is generated using (18) for each solutions in these solutions;

Step 3. Calculate fitness value: is defined by (15), , evaluate the fitness value at these solutions, select the

fittest solution via fast non-dominated sorting,

, and store the solutions in the current population .

For to do

  For to do

    Step 4. Mutation: Randomly select three distinct individuals, , , and ,

       who are all different from the target individual. denotes the best

        individuals among the three which is mean that the one has best

        fitness function value. Generate a perturbed individual as follows:

    Step 5. Crossover: ;

    Step 6. Pareto dominance

       if ( dominates )

          replace by in the current population , and then add to the

          advanced population .

       else

          add to the advanced population .

       End

  End

  Step 7. Select the fittest solutions via fast non-dominated sorting and save

  them in the ; denotes the best individual with respect to .;

End

Output: .