- #1

- 105

- 25

Task1 and Task2:

```
clear;
close all;
lambda = 0.03;
M = 61;
hs = 128;
N = hs * M; % Number of points in the time axis
mu = 4; % Doppler velocity
PRT = 1e-3; % Time step
t1 = 0:PRT:(N - 1)*PRT; % Time axis
s_ = exp(1j .* 4 * pi ./ lambda .* mu .* t1); % Original Time domain signal
s_f = fftshift(fft(s_)); % FT of the original time domain signal
v_amb = 7.5;
v_axis = linspace(-N/2, N/2-1, N)/N .* 2 * v_amb; % Velocity axis
figure; plot(v_axis, db(abs(s_f))); title('Original spectrum') % Original spectrum
%% Task1:
BW = 1*pi/180;
p0 = 0*pi/180;
p1 = 360*pi/180;
th = linspace(p0, p1, N); % Angle axis for cos(theta)
s_man_ = abs(s_) .* exp(1j .* (angle(s_)) + 1j * 4*pi/lambda * mu * (cos(th) - 1) .* t1); % Modified time domain signal with cos(theta)
s_man_f_full = fftshift(fft(s_man_)); % FT of the modified time domain signal
%% Task 2
s_man_comp = abs(s_man_) .* exp(1j .* (angle(s_man_)) ./ cos(th)); % Reconstruction of the original signal in time domain
s_man_comp_f = fftshift(fft(s_man_comp)); % FT of the reconstructed signal
figure(1); hold on; plot(v_axis, db(abs(s_man_f_full)));
hold on; plot(v_axis, db(abs(s_man_comp_f)));
legend({'HD spectrum', 'Manipulated with cosine Spectrum', 'Compensated from Manipulated spectrum'}); grid on;
```

The figure is shown below. The Yellow plot should resemble the blue blot but it doesn't. Any idea what I do wrong here? The red plot also should show multiple spikes in the plot and not like a noise signal like this I suppose.