Study on the effect of parameter setting on sidelobe
performance improvement of linear antenna arrays
based on Classical Differential Evolution
(DE/rand/1/bin)
|𝐴𝐹| = In
𝑁
𝑖=1
ejkndcos θ
𝑖𝑠 𝑡ℎ𝑒 𝑤𝑎𝑣𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 (𝑘 = 2𝜋/𝜆
𝑥𝑖 𝑣𝑖
𝑣𝑖 𝑥𝑎 ,𝐺 𝑥𝑏 ,𝐺 − 𝑥𝑐 ,𝐺
∈
≠ ≠ ≠ ≠
𝑢𝑗 ,𝑖 ,𝐺 = 𝑣𝑗 ,𝑖 ,𝐺 (𝑟𝑎𝑛𝑑𝑗 0,1 ≤ 𝐶𝑅) 𝑜𝑟 𝑗 = 𝑗𝑟𝑎𝑛𝑑
𝑥𝑗 ,𝑖 ,𝐺 𝑂𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒
𝑟𝑎𝑛𝑑𝑗 ∈
𝑗𝑟𝑎𝑛𝑑𝑣𝑗 ,𝑖 ,𝐺
𝑢𝑗 ,𝑖 ,𝐺
𝑥𝑖 ,𝐺+1 = 𝑢𝑖 ,𝐺 𝑓(𝑢𝑖 ,𝐺) < 𝑓(𝑥𝑖 ,𝐺)
𝑥𝑖 ,𝐺 𝑂𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒
Start
Random initial population
Gen=0
Fitness evaluation for each individual
Build new population
1. Mutation
2. Crossover
3. Selection
Termination
Criteria
Gen=1
S
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t
i
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