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

𝐶𝐹1 = 𝑆𝐿𝐿

Figure 1 Figure 2

CF2 = SLL + BWFNi − BWFN2

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

o

l

u

t

i

o

n

𝑥𝑖

𝑗𝑟𝑎𝑛𝑑𝑗𝑟𝑎𝑛𝑑

𝑢𝑖 ,𝑗 𝑥𝑎 ,𝑗 𝑥𝑏 ,𝐺 − 𝑥𝑐 ,𝐺

𝑢𝑖 ,𝑗 𝑥𝑖 ,𝑗

𝑢𝑖

𝑢𝑖 𝑃𝑖 𝑃𝑖 = 𝑢𝑖

For no. of elements=10

For no. of elements=100