plot aprove fourier transform superposition for two signals x and h in matlab

To plot the amplitude Fourier transform superposition for two signals x and h in MATLAB, you can follow these steps:

1. Generate the time domain signal x and h.
2. Compute the Fourier transform of both signals using the fft function.
3. Calculate the frequency axis using the linspace function.
4. Plot the amplitude Fourier transform using the abs function.
5. Superimpose the two Fourier transforms in the same plot using the hold on and plot functions.
6. Add titles, labels, and legend to the plot for better visualization.
7. Display the final plot using the grid and hold off functions.

Here is an example code snippet demonstrating the above steps:

main.m
% Generate the time domain signals
Fs = 100; % Sampling frequency
t = 0:1/Fs:1-1/Fs; % Time vector
x = sin(2*pi*5*t); % Signal x with frequency 5Hz
h = sin(2*pi*10*t); % Signal h with frequency 10Hz

% Compute the Fourier transform
X = fft(x);
H = fft(h);

% Calculate the frequency axis
f = linspace(0, Fs, length(X));

% Plot the amplitude Fourier transform
figure;
hold on;
plot(f, abs(X), 'b', 'LineWidth', 2); % Plot the Fourier transform of x
plot(f, abs(H), 'r', 'LineWidth', 2); % Plot the Fourier transform of h
hold off;

% Add titles, labels, and legend
title('Amplitude Fourier Transform Superposition');
xlabel('Frequency (Hz)');
ylabel('Amplitude');
legend('Signal x', 'Signal h');

% Display the grid and final plot
grid on;
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This code will plot the amplitude Fourier transform of signals x and h superimposed in the same plot with different colors. The x-axis represents the frequency in Hz, and the y-axis represents the amplitude of the Fourier transform.

Note: Make sure to adjust the time domain signals x and h according to your requirements.

Hope this helps!