Frequency Shift property of FFT

Hello,

I am trying to implement DSB modulation in Matlab, but I am having trouble with the frequency shift of the original signal, and how to visualize it.

This is what I have so far, but I can´t visualize the frequency shift.

clc, clear all, close all;
load('data2.mat');
load('data1.mat');
data1=data1(23001:24000,1);
data2=data2(23001:24000,1);
hold on
[m n]=size(data1);
t=[1:m]*2*pi/m;
for j=1:m
    exp_vect(j)=exp(-1i*16e3*t(j)); %Construct freq. shift vector
end
f_data1=highpass(data1,0.01); %Eliminate very low frequencies (freq 0)
f_data2=highpass(data2,0.01);

t_data1=hilbert(f_data1); %Hilbert filter of first signal
t_data2=data2-hilbert(f_data2); %Hilbert filter of second signal
fft_data1 = fft(f_data1);
hf_data1=t_data1.*exp_vect;
ffthf_data1=fft(hf_data1);

plot(abs(fftshift(fft_data1)));

plot(abs(fftshift(ffthf_data1)));

[Sulaymon Eshkabilov]

Could you please provide your data (data1.mat and data2.mat) to simulate and test, and propose a corrected code for your problem?

[Juan Heusser Killing]

Sure, Im sorry I did not include them the first time, thanks!

Answer 1

[Sk Group]

Frequency Shifting Property in MATLAB Complete Prove (Code + Output)

Frequency shifting Prove: DFT{x(n)e^(j(2*pi/N)nl = X(K-l)

For detailed post and complete code visit: https://www.swebllc.com/frequency-shifting-property-in-matlab- complete-prove-code-output/