Phase-only multi-beam directional diagram synthesis method based on separation calibration iteration FFT (Fast Fourier Transform)
A technology of pattern synthesis and pattern, applied in diversity/multi-antenna systems, space transmit diversity, computing models, etc., can solve problems such as insufficient efficiency, slow optimization synthesis speed, and failure to meet expected requirements. Adaptability, the effect of reducing complexity
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Embodiment 1
[0074] First consider synthesizing a dual-beam pattern to verify the effectiveness of the method. Suppose there is a 24-element linear array composed of ideal point sources, the array elements are evenly arranged along the z-axis, and the array element spacing is d=0.5λ. The desired beam directions of the two main lobes are θ=40° and θ=80°, respectively. The parameter settings for iterative Fourier transform are: the desired sidelobe level is set to Γ SLL =-13dB, the sampling points of the Fourier transform method and the Fourier transform method are set to uniform sampling Q=4096 points, the initial number of excitations is I=10, the number of iterations of the phase-only optimization is K=100, and the peak value of the main lobe error, beam width error, and main lobe pointing error are respectively set to be no greater than δ 1 =0.061, δ 2 = 0.014, the normalized desired minimum main lobe level is set to Γ MLL = 0.98. First, iterative Fourier transform is used to genera...
Embodiment 2
[0076] In order to further verify the effect of the method proposed by the present invention on the integrated multi-beam pattern of the planar array, as a second example, consider synthesizing a 20*20 element planar array. Assuming that the array elements are evenly arranged on the xy plane, the array element spacing in the x and y directions is d x = d y =0.5λ, the desired pointing angles of the four main beams They are (30°, 0°), (30°, 90°), (30°, 180°), (30°, 270°), and the directions corresponding to the uv space are (0.5, 0), (0, 0.5), (-0.5,0), (0,-0.5), the desired sidelobe level is Γ SLL=-19dB. The parameters of the two-dimensional Fourier transform are set as follows: the sampling points are set to uniformly sample 256*256 points within u∈(-1,1), v∈(-1,1), and the number of initial excitations is I= 10. The number of iterations for phase-only optimization is K=400, and it is expected that the settings of the minimum main lobe level, beam width error, and main lo...
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