-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathcommunicationSystem.m
171 lines (139 loc) · 3.63 KB
/
communicationSystem.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
function [outputSignal,noiseSignal] = communicationSystem(channel,fs,sigma,i,impulseResponse)
% Note the if before every plot is because we plot only the
%first chanell
% 1) Transmision
%------------------------------------------%
x = channel;
t_end = length(x)./fs;
t = linspace(0,t_end, t_end*fs);
%plot in time domain
if (i==1)
figure(1)
subplot(3,1,1)
plot(t,x)
title('Signal in time domain')
end
X = fftshift(fft(x));
Xmg = abs(X);
Xphase = angle(X);
N = length(x);
fvec = linspace(-fs/2,fs/2,N);
%plot in frequency domain
if (i==1)
subplot(3,1,2)
plot(fvec,Xmg)
title('Signal Magnitude in frequency domain')
end
if (i==1)
subplot(3,1,3)
plot(fvec,Xphase)
title('Signal Phase in frequency domain')
end
% 2) Channel
%------------------------------------------%
% A) Delta
% the output signal is the same as the input
if (impulseResponse ==1)
H1 = [1 zeros(1,N-1)];
y = conv(x,H1);
t_end = length(y)./fs;
t_conv = linspace(0,t_end, t_end*fs);
y = y';
end
% B) exp(-2pi*5000t)
% the system amplifies the signal volume by approximately 2
if (impulseResponse == 2)
H2 = exp(-2*pi*5000*t);
y = conv(x,H2);
t_end = length(y)./fs;
t_conv = linspace(0,t_end, t_end*fs);
y = y';
end
% C) exp(-2pi*1000t)
% the system amplifies the signal volume by approximately 4
if(impulseResponse == 3)
H3 = exp(-2*pi*1000*t);
y = conv(x,H3);
t_end = length(y)./fs;
t_conv = linspace(0,t_end, t_end*fs);
y = y';
end
% D) The channel has the following impulse response
% the system somehow disturbe the signal (overlab)
if (impulseResponse == 4)
H4 = [2 zeros(1,1*fs -2) 1];
y = conv(x,H4);
t_end = length(y)./fs;
t_conv = linspace(0,t_end, t_end*fs);
end
% ploting the signal after applying system
if (i==1)
figure(2)
subplot(3,1,1)
plot(t_conv, y)
title('Signal in time domain after applying system')
Y = fftshift(fft(y));
Ymg = abs(Y);
Yphase = angle(Y);
N = length(Y);
fvec = linspace(-fs/2,fs/2,N);
subplot(3,1,2)
plot(fvec, Ymg)
title('Signal Magnitude in freq. domain after applying system ')
subplot(3,1,3)
plot(fvec, Yphase)
title('Signal phase in freq. domain after applying system ')
end
% 3) noise
%------------------------------------------%
% play sound file after adding noise
z = sigma*randn(length(x),1);
noiseSignal = y(1:length(x)) + z;
x = noiseSignal;
% plot the sound file after adding noise in time domain
t_endN=length(x)./fs;
t=linspace(0,t_endN,t_endN*fs);
if (i==1)
figure(3)
subplot(2,1,1)
plot(t,x)
title('sound file after adding noise in time domain')
end
% plot the sound file after adding noise in frequency domain
xf=fftshift(fft(x));
xfmg=abs(xf);
N=length(x);
fvec=linspace(-fs/2,fs/2,N);
if (i==1)
subplot(2,1,2)
plot(fvec,xfmg)
title('sound file after adding noise in frequency domain')
end
% 4) Receiver
%------------------------------------------%
N = length(x);
n = N/fs;
right_band = round((fs/2-3400)*n);
left_band = (N-right_band+1);
xf([1:right_band left_band:N]) = 0;
x = real(ifft(ifftshift(xf)));
% plot the sound file at receiver in time domain
t_end = length(x)./fs;
t=linspace(0,t_end,t_end*fs);
if (i==1)
figure(4)
subplot(2,1,1)
plot(t,x)
title('sound file at receiver in time domain')
end
% plot the sound file at receiver in frequency
Xmg=abs(xf);
N=length(x);
fvec=linspace(-fs/2,fs/2,N);
if (i==1)
subplot(2,1,2)
plot(fvec,Xmg)
title('sound file at receiver in frequency domain')
end
outputSignal = x;
end