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Hi everyone,
I am a new engineer just work in the real industry, so I would like to collect more experience from the real project.
I am working on the Multipath problem, but I've not done before in the University, and really do not know how to solve it.
During the discussion from the professor which I can wrote down from the pdf file (attached below).
My responsibility: how to detect multipath?
Here are what I have?
0. Choose the simplest situation that is 1 direct signal and 1 multipath signal.
1. Center frequency of the TV station: fc = 533 MHz, and bandwidth: B = 6 MHz
2. Equation for electromagnetic: k = 2*pi/λ
3. Distance between 2 RX antennas : d1 = 10 cm (Software Define Radio with dual antenna)
4. Time delay indoor : ζ from 10  1000 (ns)
5. Angle θ = ± pi/2 ( everytime turn the angle pi/2 or pi/2) (angle between RX and TX)
6. Distance between 2 RX antenna to TX antenna d2 = 4.3 km
7. Amplitude: a0 = 1 (a0 is amplitude for direct signal LOS)
a1 = [0 1) (a1 is amplitude for multipath signal 1)
8. Equation for multipath: MUL = ∑ an * exp(j*(k*(x*cosθ + y*sinθ)  w( t  ζ )))
I do not know I did right or wrong? But If anyone who has done this before, please confirm with me, I would appreciate so much.
and If I did not do right, how I can fix it. Please give me suggestions.
Thank you very much.
I am a new engineer just work in the real industry, so I would like to collect more experience from the real project.
I am working on the Multipath problem, but I've not done before in the University, and really do not know how to solve it.
During the discussion from the professor which I can wrote down from the pdf file (attached below).
My responsibility: how to detect multipath?
Here are what I have?
0. Choose the simplest situation that is 1 direct signal and 1 multipath signal.
1. Center frequency of the TV station: fc = 533 MHz, and bandwidth: B = 6 MHz
2. Equation for electromagnetic: k = 2*pi/λ
3. Distance between 2 RX antennas : d1 = 10 cm (Software Define Radio with dual antenna)
4. Time delay indoor : ζ from 10  1000 (ns)
5. Angle θ = ± pi/2 ( everytime turn the angle pi/2 or pi/2) (angle between RX and TX)
6. Distance between 2 RX antenna to TX antenna d2 = 4.3 km
7. Amplitude: a0 = 1 (a0 is amplitude for direct signal LOS)
a1 = [0 1) (a1 is amplitude for multipath signal 1)
8. Equation for multipath: MUL = ∑ an * exp(j*(k*(x*cosθ + y*sinθ)  w( t  ζ )))
I do not know I did right or wrong? But If anyone who has done this before, please confirm with me, I would appreciate so much.
and If I did not do right, how I can fix it. Please give me suggestions.
Thank you very much.
Matlab:
% *****************************************************************
%%%%%%%%%%%% here is my code and plot %%%%%%%%%%%%%%
% *****************************************************************
%% multipath with 2 signals : Direct signal (Light Of Sight) and reflected signal
clear all; %close all
f_c = 533e6;
speed_of_light = 3e8 ; % m/s
d = 0.01; % distance between 2 rx antenna 10cm
lamda = speed_of_light / f_c; % wave length
k = (2 * pi) / lamda; % notation for electromagnetic
w = 2 * pi * f_c;
a = [1 1/3]; % attenuation
x = [d/2 d/2];
y = [0 0];
alpha = [0 pi/2]; % turn every time by (pi/2)
tau = [0 0.1e6]; % time delay
t = 0 : (pi / 100) : (pi * 1);
N_path = length(tau);
% *****************************************************************
% %%%%%%%%%%%%%% simple calculation %%%%%%%%%%%%%
% *****************************************************************
a0 = a(1);
a1 = a(2);
x0 = x(1);
x1 = x(2);
y0 = y(1);
y1 = y(2);
tau0 = tau(1);
tau1 = tau(2);
alpha0 = alpha(1);
alpha1 = alpha(2);
plane0 = x0 * cos(alpha0) + y0 * sin(alpha0); %
plane1 = x1 * cos(alpha1) + y1 * sin(alpha1); % 3.417721599179047e18
complex0 = k * plane0  w * (t  tau0);
z_Direct_signal = a0 * exp(j*complex0);
complex1 = k * plane1  w * (t  tau1);
z_Reflected_signal = a1 * exp(j*complex1);
z_total = z_Direct_signal + z_Reflected_signal;
figure, subplot(2,2,1)
plot(real(z_Direct_signal),'r')
title('Direct Signal in Real');
subplot(2,2,2)
plot(imag(z_Direct_signal))
title('Direct Signal in Imaginary');
subplot(2,2,3)
plot(abs(z_Direct_signal));
title('Magnitude of LOS');
subplot(2,2,4)
plot(angle(z_Direct_signal));
title('Phase of LOS');
figure, subplot(2,2,1)
plot(real(z_Reflected_signal),'r')
title('Reflected Signal in Real');
subplot(2,2,2)
plot(imag(z_Reflected_signal))
title('Reflected Signal in Imaginary');
subplot(2,2,3)
plot(abs(z_Reflected_signal));
title('Magnitude of Reflected');
subplot(2,2,4)
plot(angle(z_Reflected_signal));
title('Phase of Reflected');
figure, subplot(2,2,1)
plot(real(z_total),'r')
title('total Signal in Real');
subplot(2,2,2)
plot(imag(z_Reflected_signal))
title('total Signal in Imaginary');
subplot(2,2,3)
plot(abs(z_Reflected_signal));
title('Magnitude of total');
subplot(2,2,4)
plot(angle(z_Reflected_signal));
title('Phase of total');
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