Digital formed beam design method of digital array radar
A digital array radar and shaped beam technology, which is applied in radio wave measurement systems and instruments, can solve the problem of high sidelobe level in the shaped beam pattern, achieve good performance, low algorithm complexity, and strong anti-interference performance Effect
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[0040] The present invention uses the following parameters to verify.
[0041]M array elements are arranged vertically and evenly, the spacing between antenna elements is d=λ / 2, the shaping area is [8°, 38°], and the objective function of shaping is D(θ)=cscθ(8°≤θ≤38 °), the low side lobe area is [-90°,-12°]∪[48°,90°], the side lobe attenuation level is set to -40dB, and the required value of the maximum ripple level is α 0 = 0.03dB.
[0042] Transform the cosecant squared beam design problem into the following optimization model
[0043] minimize α 2
[0044] subject to 1 / α 2 ≤R(θ) / |D(θ)| 2 ≤α 2 ,θ∈[θ p1 ,θ p2 ]
[0045] R(θ)≤δ 2 ,θ∈[-90°,θ s1 ]∪[θ s2 ,90°]
[0046] R(θ)≥0 for allθ∈[-90°,90°]
[0047] Among them, δ=-40dB.
[0048] Sampling the elevation angle 8°≤θ≤38° to obtain a set of discrete elevation angle values: -90°≤θ 1 ≤θ 2 ≤...≤θ N ≤90°. Here, N=15M is taken, M is the number of array elements, and the initial value M=12 is se...
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