📄 均匀面阵方向图.m
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% 绘制水平面放置的平面阵的方向图 P34 图2.3.4(a)
clc;
clear all;
close all;
Row_N = 16; % 行阵元数
Col_N = 16; % 列阵元数
k = 0.5; % k = d/lambda
DOA_theta = 90; % 方位角
DOA_fi = 0; % 俯仰角
% 形成方位角为theta,俯仰角位fi的波束的权值
Row_n = [0 : Row_N-1]; Col_n = [0 : Col_N-1];
W_Row = exp(-j*2*pi*k*Row_n'*cos(DOA_theta*pi/180)*cos(DOA_fi*pi/180));
W_Col = exp(-j*2*pi*k*Col_n'*sin(DOA_theta*pi/180)*cos(DOA_fi*pi/180));
% W_Col = exp(-j*2*pi*k*Col_n'*sin(DOA_fi*pi/180)); % 竖直放置
W_Row = chebwin(Row_N, 20) .* W_Row; % 行加切比雪夫权
W_Col = chebwin(Col_N, 30) .* W_Col; % 列加切比雪夫权
W = kron(W_Row, W_Col); % 合成的权值 N*N x 1
% 绘制水平面放置的平面阵的方向图
theta = linspace(0,180,180);
fi = linspace(0,90,90);
for i_theta = 1 : length(theta)
for i_fi = 1 : length(fi)
row_temp = exp(-j*2*pi*k*Row_n'*cos(theta(i_theta)*pi/180)*cos(fi(i_fi)*pi/180)); % 行导向矢量 N x 1
col_temp = exp(-j*2*pi*k*Col_n'*sin(theta(i_theta)*pi/180)*cos(fi(i_fi)*pi/180)); % 列导向矢量 N x 1
% col_temp = exp(-j*2*pi*k*Col_n'*sin(fi(i_fi)*pi/180)); % 竖直放置
Y(i_theta,i_fi) = W'*kron(row_temp, col_temp); % 合成的导向矢量 N*N x 1
end
end
Y= abs(Y); Y = Y/max(max(Y));
Y = 20*log10(Y);
Y = (Y+60) .* ((Y+60)>0) - 60; % 切图
% Z = Y + 60;
% Z = Z .* (Z > 0);
% Y = Z - 60;
figure; mesh(fi, theta, Y); view([66, 33]);
title('水平面放置时的面阵方向图');
axis([0 90 0 180 -60 0]);
xlabel('俯仰角/(\circ)'); ylabel('方位角(\circ)'); zlabel('P/dB');
figure; contour(fi, theta, Y);
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