-
Notifications
You must be signed in to change notification settings - Fork 3
/
figure_15.m
215 lines (188 loc) · 6.14 KB
/
figure_15.m
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
% Code to generate Figure 15 of the echo statistics tutorial.
%
% This code plots the PDF and PFA of the echo magnitude due to N identical point scatterers
% that are randomly distributed in the sensor beam (in 15a, the beam is omnidirectional).
% 3D distribution of scatterers.
%
% Author: Wu-Jung Lee | [email protected] | APL-UW
clear
addpath './util_fcn'
base_path = './figs';
% Make save path
str = strsplit(mfilename('fullpath'),'/');
str = str{end};
save_path = fullfile(base_path,str);
if ~exist(save_path,'dir')
mkdir(save_path);
end
% Set param
X = load('./figs/figure_12/figure_12_ka_num.mat');
ka = X.ka_3deg;
pingnum_str = '1e8';
pingnum = eval(pingnum_str);
N_all = [1,10,100,1000,2:4];
v_rayl = 1/sqrt(2);
% Set operation
mc_opt = 1; % 0 - do not re-generate realizations
% 1 - re-generate all realizations
% Monte Carlo simulation
if mc_opt
for iN=1:length(N_all)
Ns = N_all(iN);
fprintf('Ns = %d\n',Ns);
param.N = Ns;
param.ka = ka;
parfor iP = 1:pingnum
phase = rand(1,Ns)*2*pi;
amp = ones(1,Ns);
s = amp.*exp(1i*phase);
% position in the beam
u = unifrnd(0,1,1,sum(Ns));
theta = acos(u); % polar angle wrt beam axis
b_bp0 = 1;
b_bp1 = (2*besselj(1,ka*sin(theta))./(ka*sin(theta))).^2;
% E=SB
e_bp0 = s.*b_bp0;
e_bp1 = s.*b_bp1;
env_bp0(iP) = abs(sum(e_bp0));
env_bp1(iP) = abs(sum(e_bp1));
end % pingnum
env = env_bp0;
file_save = sprintf('pnum_%s_ka%2.4f_N%04d_bp0.mat',...
pingnum_str,ka,Ns);
save([save_path,'/',file_save],'env','param');
env = env_bp1;
file_save = sprintf('pnum_%s_ka%2.4f_N%04d_bp1.mat',...
pingnum_str,ka,Ns);
save([save_path,'/',file_save],'env','param');
end
end
% Plot: PDF WITH BEAMPATTERN
N_all = [1,10,100,1000];
fig = figure;
xr = logspace(-3,log10(2000),500); % standard
rayl = raylpdf(xr,1/sqrt(2));
loglog(xr,rayl,'k','linewidth',2);
hold on
for iN=1:length(N_all)
simu_file = sprintf('pnum_%s_ka%2.4f_N%04d_bp1.mat',...
pingnum_str,ka,N_all(iN));
E = load(fullfile(save_path,simu_file));
[x,p_x] = findEchoDist(E.env/sqrt(mean(E.env.^2)),1200);
switch iN
case 1
loglog(x,p_x,'r-','linewidth',2);
case 2
loglog(x,p_x,'g-','linewidth',2);
case 3
loglog(x,p_x,'b-','linewidth',2);
case 4
loglog(x,p_x,'b-','linewidth',1);
end
clear E
end
% title(sprintf('ka=%2.4f, smplN=%s, with bp',...
% ka,pingnum_str),...
% 'fontsize',18);
ll = legend('Rayleigh','N=1 (0.00375)','N=10 (0.0375)',...
'N=100 (0.375)','N=1000 (3.75)',...
'location','southwest');
set(ll,'fontsize',18);
set(gca,'fontsize',16)
xlabel('$\tilde{e}/<\tilde{e}^2>^{1/2}$','Interpreter','LaTex','fontsize',24);
ylabel('$p_e(\tilde{e}/<\tilde{e}^2>^{1/2})$','Interpreter','LaTex','fontsize',24);
xlim([1e-3 1e2]);
ylim([1e-6 1e3]);
save_fname = sprintf('%s_smpl%s_ka%2.4f_pdf_bp1',...
str,pingnum_str,ka);
saveas(fig,[fullfile(save_path,save_fname),'.fig'],'fig');
saveSameSize(fig,'file',[fullfile(save_path,save_fname),'.png'],...
'format','png');
% Plot: PFA WITH BEAMPATTERN
N_all = [1,10,100,1000];
fig = figure;
xr = logspace(-3,log10(2000),500); % standard
rayl = raylpdf(xr,1/sqrt(2));
cdf_rayl = cumtrapz(xr,rayl);
pfa_rayl = 1-cdf_rayl;
loglog(xr,pfa_rayl,'k','linewidth',2);
hold on
for iN=1:length(N_all)
simu_file = sprintf('pnum_%s_ka%2.4f_N%04d_bp1.mat',...
pingnum_str,ka,N_all(iN));
E = load(fullfile(save_path,simu_file));
[x,p_x] = findEchoDist(E.env/sqrt(mean(E.env.^2)),600);
cdf_x = cumtrapz(x,p_x);
pfa_x = 1-cdf_x;
switch iN
case 1
loglog(x,pfa_x,'r-','linewidth',2);
case 2
loglog(x,pfa_x,'g-','linewidth',2);
case 3
loglog(x,pfa_x,'b-','linewidth',2);
case 4
loglog(x,pfa_x,'b-','linewidth',1);
end
clear E
end
% title(sprintf('ka=%2.4f, smplN=%s, with bp',...
% ka,pingnum_str),...
% 'fontsize',18);
ll = legend('Rayleigh','N=1 (0.00375)','N=10 (0.0375)',...
'N=100 (0.375)','N=1000 (3.75)',...
'location','southwest');
set(ll,'fontsize',18);
set(gca,'fontsize',16)
xlabel('$\tilde{e}/<\tilde{e}^2>^{1/2}$','Interpreter','LaTex','fontsize',24);
ylabel('$PFA(\tilde{e}/<\tilde{e}^2>^{1/2})$','Interpreter','LaTex','fontsize',24);
xlim([1e-3 1e2]);
ylim([1e-4 1e1]);
save_fname = sprintf('%s_smpl%s_ka%2.4f_pfa_bp1',...
str,pingnum_str,ka);
saveas(fig,[fullfile(save_path,save_fname),'.fig'],'fig');
saveSameSize(fig,'file',[fullfile(save_path,save_fname),'.png'],...
'format','png');
% Plot: PDF NO BEAMPATTERN
N_all = 1:4;
fig = figure;
xr = logspace(-3,log10(2000),500); % standard
rayl = raylpdf(xr,1/sqrt(2));
loglog(xr,rayl,'k','linewidth',2);
hold on
plot([1,1],[10e-8,1],'r-','linewidth',2); % N=1 curve
for iN=2:length(N_all)
simu_file = sprintf('pnum_%s_ka%2.4f_N%04d_bp0.mat',...
pingnum_str,ka,N_all(iN));
E = load(fullfile(save_path,simu_file));
[x,p_x] = findEchoDist(E.env/sqrt(mean(E.env.^2)),500);
switch iN
case 2
loglog(x,p_x,'g-','linewidth',2);
case 3
loglog(x,p_x,'b-','linewidth',2);
case 4
loglog(x,p_x,'b-','linewidth',1);
end
clear E
end
% title(sprintf('ka=%2.4f, smplN=%s, no bp',...
% ka,pingnum_str),...
% 'fontsize',18);
ll = legend('Rayleigh','N=1','N=2','N=3','N=4',...
'location','southwest');
set(ll,'fontsize',18);
new_pos = ll.Position;
new_pos(1) = 0.25;
set(ll,'Position',new_pos);
set(gca,'fontsize',16);
set(gca,'xscale','log','yscale','log'); % log scale
xlabel('$\tilde{e}/<\tilde{e}^2>^{1/2}$','Interpreter','LaTex','fontsize',24);
ylabel('$p_e(\tilde{e}/<\tilde{e}^2>^{1/2})$','Interpreter','LaTex','fontsize',24);
xlim([1e-3 1e2]);
ylim([1e-6 1e3]);
save_fname = sprintf('%s_smpl%s_ka%2.4f_pdf_bp0',...
str,pingnum_str,ka);
saveas(fig,[fullfile(save_path,save_fname),'_log.fig'],'fig');
saveSameSize(fig,'file',[fullfile(save_path,save_fname),'_log.png'],...
'format','png');