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main_1D.m
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main_1D.m
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clc;
clear all;
clear global;
close all;
oned_testmode = 'compara_esprit';
switch oned_testmode
case 'auto'
[beam1,en1] = lms();
[beam2,en2] = nlms();
[beam3,en3] = rls();
% plotting
figure('Color','white');
angle=-90:180/200:(90-180/200);
% subplot(2,1,1);
plot(angle,beam1);hold on;
plot(angle,beam2);hold on;
plot(angle,beam3);hold on;
legend('LMS','NLMS','RLS');
grid on;
xlabel('方向角/degree');
ylabel('幅度响应/dB');
title('方向图');
figure('Color','white');
semilogy(en1);hold on;
semilogy(en2);hold on;
semilogy(en3);hold on;
legend('LMS','NLMS','RLS');
grid on;
xlabel('迭代次数');
ylabel('MSE');
title('MSE');
case 'compara_esprit'
theta0 = [-60 -45 -30 -15 0 20 40];
[rmse1]=conjugate_esprit(theta0,8);
[rmse2]=espirit(theta0,8);
figure('Color','white');
plot(-10:1:9,rmse1,'g*-',-10:1:9,rmse2,'ro-');
grid on;
xlabel('SNR/dB');
ylabel('RMSE/degree');
title('共轭TLS-ESPRIT与TLS-ESPRIT算法在不同信噪比下的均方根误差');
legend('conjugate esprit','esprit');
case 'conjugate_esprit'
theta0 = [-60 -45 -30 -15 0 20 40 60];
[rmse]=conjugate_esprit(theta0,8);
figure('Color','white');
plot(rmse,'*-');
grid on;
xlabel('SNR/dB');
ylabel('RMSE/degree');
title('共轭ESPRIT算法在不同信噪比下的均方根误差');
case 'espirit'
theta0 = [-60 -45 -30 0 20 40 60];
[rmse]=espirit(theta0,8);
figure('Color','white');
plot(rmse,'*-');
grid on;
xlabel('SNR/dB');
ylabel('RMSE/degree');
title('ESPRIT算法在不同信噪比下的均方根误差');
case 'music_and_espirit'
theta0 = [10 30 60];
theta=linspace(-90,90,361);
[abs_p,peak_ang,snr1,rmse1] = music(theta0,8,0.5,'not_multi');
[rmse2] = espirit(theta0,8);
figure('Color','white');
plot(snr1,rmse1,'r*-',snr1,rmse2,'b*-');
title('MUSIC算法与ESPRIT算法不同信噪比下测角均方误差');
xlabel('SNR/dB');ylabel('RMSE/degree');
legend('MUSIC','ESPIRIT');
case 'rootmusic_and_espirit'
theta0 = [0 30 60];
[snr1,rmse1] = root_music(theta0,8,0.5);
[rmse2] = espirit(theta0,8);
figure('Color','white');
plot(snr1,rmse1,'ro-',snr1,rmse2,'g*-');
grid on;
title('ROOT-MUSIC算法与ESPRIT算法不同信噪比下测角均方误差');
xlabel('SNR/dB');ylabel('RMSE/degree');
legend('ROOT-MUSIC','ESPIRIT');
case 'nor_and_ss_music'
theta0 = [10 30 60];
theta=linspace(-90,90,361);
[abs_p1,peak_ang1] = music(theta0,8,0.5,'multi_path');
abs_p2 = ss_music(theta0,8,0.5,'multi_path');
figure('Color','white');
h=plot(theta,abs_p1,'g',theta,abs_p2,'r');
set(h,'Linewidth',2)
xlabel('angle (degree)')
ylabel('abs of P (dB)')
axis([-90 90 -60 0]);
set(gca, 'XTick',[-90:30:90]);
grid on;
legend('MUSIC','空间平滑MUSIC');
title({['MUSIC算法和空间平滑MUSIC算法在多径传输下的性能比较']...
['来波方向为:' num2str(theta0) '信源相同的方向为:' num2str(theta0(1:2))]});
case 'root_music'
theta0 = [45 30 60];
[snr,rmse] = root_music(theta0,8,0.5);
figure('Color','white');
plot(snr,rmse,'ro-');
title('ROOT-MUSIC算法不同信噪比下测角均方误差');
xlabel('SNR/dB');ylabel('RMSE/degree');
case 'ss_music'
theta=linspace(-90,90,361);
theta0 = [0 30 60];
abs_p = ss_music(theta0,8,0.5,'multi_path');
figure('Color','white');
h=plot(theta,abs_p);
set(h,'Linewidth',2);
xlabel('angle (degree)');
ylabel('abs of P (dB)');
axis([-90 90 -60 0]);
set(gca, 'XTick',[-90:30:90], 'YTick',[-60:10:0]);
grid on;
title('平滑MUSIC功率谱');
case 'normal_and_music'
theta0 = [ -50 -30 -10 10 30 50 70 ];
[abs_f1,abs_p1] = normal(theta0,8,0.5);
[abs_p2,peak_ang,snr,rmse] = music(theta0,8,0.5,'not_multi');
[abs_f3,abs_p3] = capon(theta0,8,0.5);
theta=linspace(-90,90,200);
figure('Color','white');
plot(theta,abs_p1);hold on;
plot(theta,abs_p2);hold on;
plot(theta,abs_p3);hold on;
xlabel('angle (degree)');
ylabel('abs of P /dB');
grid on;
title( ['功率谱,来波方向为:' num2str(theta0)]);
legend('延迟相加法','music','Capon');
case 'music'
theta0 = [10 20 30 40 50 60 70 ];
[abs_p,peak_ang,snr,rmse] = music(theta0,8,0.5,'not_multi');
theta=linspace(-90,90,200);
figure('Color','white');
h=plot(theta,abs_p);
% hold on;
% plot(peak_ang,abs_p(peak_ang*2+181),'ro');
% set(h,'Linewidth',2);
xlabel('angle (degree)');
ylabel('abs of P /dB');
% axis([-90 90 -60 0]);
% set(gca, 'XTick',[-90:30:90]);
grid on;
title( ['MUSIC功率谱,来波方向为:' num2str(theta0)]);
% title( {['MUSIC功率谱,来波方向为:' num2str(theta0)]...
% ['谱峰搜索结果为:' num2str(peak_ang)]});
% figure('Color','white');
% plot(snr,rmse,'ro-');
% title('MUSIC算法不同信噪比下测角均方误差');
% xlabel('SNR');ylabel('RMSE');
case 'normal_theta_and_direction'
%% 普通波束形成的波束宽度随方向的变化
theta=linspace(-90,90,200);
d_lamda = 1/2;
theta0 = [0 40 60 80];
[abs_f1,abs_p1] = normal(theta0(1),8,d_lamda);
[abs_f2,abs_p2] = normal(theta0(2),8,d_lamda);
[abs_f3,abs_p3] = normal(theta0(3),8,d_lamda);
[abs_f4,abs_p4] = normal(theta0(4),8,d_lamda);
figure('Color','white');
plot(theta,abs_f1);hold on;
plot(theta,abs_f2);hold on;
plot(theta,abs_f3);hold on;
plot(theta,abs_f3);hold on;
grid on;
title('8阵元线阵方向图' );
xlabel('theta/degree');ylabel('abs of F');
legend('0度','40度','60度','80度');
% figure('Color','white');
% subplot(411);
% plot(theta,abs_f1,'r');grid on;
% title(['16阵元线阵方向图，指向方向为',num2str(theta0(1)) '度']);
% xlabel('theta/degree');ylabel('abs of F');
% subplot(412);
% plot(theta,abs_f2,'r');grid on;
% title(['16阵元线阵方向图，指向方向为',num2str(theta0(2)) '度']);
% xlabel('theta/degree');ylabel('abs of F');
% subplot(413);
% plot(theta,abs_f3,'r');grid on;
% title(['16阵元线阵方向图，指向方向为',num2str(theta0(3)) '度']);
% xlabel('theta/degree');ylabel('abs of F');
% subplot(414);
% plot(theta,abs_f4,'r');grid on;
% title(['16阵元线阵方向图，指向方向为',num2str(theta0(4)) '度']);
% xlabel('theta/degree');ylabel('abs of ');
case 'normal_resolution'
%% 普通波束形成的分辨力问题
theta=linspace(-90,90,200);
d_lamda = 1/2;
theta1 = [0 30 60];
[abs_f1,abs_p1] = normal(theta1,8,d_lamda);
theta2 = [0 10 60];
[abs_f2,abs_p2] = normal(theta2,8,d_lamda);
theta3 = [0 50 60];
[abs_f3,abs_p3] = normal(theta3,8,d_lamda);
figure('Color','white');
subplot(311);
plot(theta,abs_p1,'r');grid on;
title(['8阵元线阵功率谱，来波方向为',num2str(theta1) '度']);
xlabel('theta/degree');ylabel('abs of P');
subplot(312);
plot(theta,abs_p2,'r');grid on;
title(['8阵元线阵功率谱，来波方向为',num2str(theta2) '度']);
xlabel('theta/degree');ylabel('abs of P');
subplot(313);
plot(theta,abs_p3,'r');grid on;
title(['8阵元线阵功率谱，来波方向为',num2str(theta3) '度']);
xlabel('theta/degree');ylabel('abs of P');
case 'theta_and_array_numb'
%% 测试阵元数目对波束宽度的影响
theta0 = 0;
d_lamda = 1/2;
[abs_f1,abs_p1] = normal(theta0,8,d_lamda);
[abs_f2,abs_p2] = normal(theta0,16,d_lamda);
[abs_f3,abs_p3] = normal(theta0,32,d_lamda);
theta=linspace(-90,90,200);
figure('Color','white');
% subplot(211);
plot(theta,abs_f1,'g');hold on;
plot(theta,abs_f2,'r');hold on;
plot(theta,abs_f3,'b');hold on;
grid on;
xlabel('theta/degree')
ylabel('abs of F')
title([ '均匀线阵方向图','指向' num2str(theta0) '度' ]);
legend('8阵元','16阵元','32阵元');
% subplot(212);
% plot(theta,abs_p1,'g');hold on;
% plot(theta,abs_p2,'r');hold on
% plot(theta,abs_p3,'b');hold on;
% grid on;
% xlabel('theta/degree')
% ylabel('abs of P')
% title([ '均匀线阵功率谱','来波方向为' num2str(theta0) '度']);
% legend('8阵元','16阵元','32阵元');
case 'normal'
%% 测试普通波束形成
theta0 = [-10,10];
d_lamda = 1/2;
[abs_f,abs_p] = normal(theta0,8,d_lamda/2);
theta=linspace(-90,90,200);
figure('Color','white');
plot(theta,abs_f);hold on;
grid on;
xlabel('theta/degree')
ylabel('abs of F')
title([ '普通波束形成方向图' '波束指向' num2str(theta0) '度' ]);
figure('Color','white');
plot(theta,abs_p);hold on;
grid on;
xlabel('theta/degree')
ylabel('abs of P')
title([ '延迟相加法功率谱' ]);
case 'theta_and_array_span'
%% 测试阵元间距对波束宽度的影响
theta0 = 0;
d_lamda = 1/2;
[abs_f1,abs_p1] = normal(theta0,8,d_lamda/2);
[abs_f2,abs_p2] = normal(theta0,8,d_lamda);
[abs_f3,abs_p3] = normal(theta0,8,d_lamda/2*3);
[abs_f4,abs_p4] = normal(theta0,8,d_lamda/2*5);
theta=linspace(-90,90,200);
figure('Color','white');
plot(theta,abs_f1);hold on;
plot(theta,abs_f2);hold on;
plot(theta,abs_f3);hold on;
plot(theta,abs_f4);hold on;
grid on;
xlabel('theta/degree')
ylabel('abs of F')
legend('0.25lamda','0.5lamda','0.75lamda','1.25lamda');
title([ '阵元间距与波长的比例对方向图的影响' ' 波束指向' num2str(theta0) '度' ]);
% theta0 = 0;
% d_lamda = 1/2;
% [abs_f1,abs_p1] = normal(theta0,8,d_lamda/2);
% [abs_f2,abs_p2] = normal(theta0,8,d_lamda);
% [abs_f3,abs_p3] = normal(theta0,8,d_lamda/2*3);
% [abs_f4,abs_p4] = normal(theta0,8,d_lamda/2*5);
% theta=linspace(-90,90,200);
% figure('Color','white');
% subplot(411);
% plot(theta,abs_f1,'g');
% grid on;
% xlabel('theta/degree')
% ylabel('abs of F')
% title([ '阵元间距' num2str(d_lamda/2) 'lamda均匀线阵方向图','指向' num2str(theta0) '度' ]);
% subplot(412);
% plot(theta,abs_f2,'r');
% grid on;
% xlabel('theta/degree')
% ylabel('abs of F')
% title([ '阵元间距' num2str(d_lamda) 'lamda均匀线阵方向图','指向' num2str(theta0) '度' ]);
% subplot(413);
% plot(theta,abs_f3,'b');
% grid on;
% xlabel('theta/degree')
% ylabel('abs of F')
% title([ '阵元间距' num2str(d_lamda/2*3) 'lamda均匀线阵方向图','指向' num2str(theta0) '度' ]);
% subplot(414);
% plot(theta,abs_f4,'k');
% grid on;
% xlabel('theta/degree')
% ylabel('abs of F')
% title([ '阵元间距' num2str(d_lamda*2*1.5) 'lamda均匀线阵方向图','指向' num2str(theta0) '度' ]);
case 'normal_and_capon'
%% 对比一维普通波束形成与capon
theta0 = [30,60];
d_lamda = 1/2;
[abs_f1,abs_p1] = normal(theta0,8,d_lamda);
[abs_f2,abs_p2] = capon(theta0,8,d_lamda);
theta=linspace(-90,90,200);
figure('Color','white');
plot(theta,abs_p1);hold on;
plot(theta,abs_p2);hold on;
grid on;
xlabel('theta/degree');
ylabel('abs of P');
title([ '8阵元均匀线阵功率谱','来波方向为' num2str(theta0) '度']);
legend('normal','capon');
theta0 = [30,40];
d_lamda = 1/2;
[abs_f1,abs_p1] = normal(theta0,8,d_lamda);
[abs_f2,abs_p2] = capon(theta0,16,d_lamda);
figure('Color','white');
plot(theta,abs_p1);hold on;
plot(theta,abs_p2);hold on;
grid on;
xlabel('theta/degree')
ylabel('abs of P')
title([ '8阵元均匀线阵功率谱','来波方向为' num2str(theta0) '度']);
legend('normal','capon');
case 'capon'
%% 对比一维普通波束形成与capon
theta0 = [0 35];
d_lamda = 1/2;
[abs_f,abs_p] = capon(theta0,16,d_lamda);
theta=linspace(-90,90,200);
figure('Color','white');
plot(theta,abs_f,'r');hold on;
plot(theta0(1),-30:0,'.',theta0(2),-30:0,'.');
grid on;
xlabel('theta/degree');
ylabel('abs of P');
title([ 'Capon均匀线阵方向图(普通波束形成)','来波方向为' num2str(theta0) '度']);
figure('Color','white');
plot(theta,abs_p,'r');
grid on;
xlabel('theta/degree');
ylabel('abs of P');
title([ 'Capon均匀线阵功率谱(普通波束形成)','来波方向为' num2str(theta0) '度']);
otherwise
disp('Please input mode!');
end