FrFT matlab

The Fractional Fourier Transform (FrFT) is a generalization of the traditional Fourier transform that allows for variable rotation of the signal in the time-frequency plane. It has applications in signal processing, image processing, and communication systems.

In MATLAB, the FrFT can be computed using the "frft" function in the Signal Processing Toolbox. The syntax for the function is:

y = frft(x, alpha)

where "x" is the input signal, and "alpha" is the rotation angle in radians. The output "y" is the FrFT of "x" with rotation angle "alpha".

Here is an example code that computes the FrFT of a signal "x" with rotation angle "alpha":

% Create a signal
n = 0:99;
x = sin(2*pi*0.1*n) + sin(2*pi*0.2*n) + sin(2*pi*0.3*n);

% Compute the FrFT
alpha = 0.5; % Rotation angle
y = frft(x, alpha);

% Plot the original and FrFT signals
subplot(2,1,1);
plot(n, x);
title('Original signal');
xlabel('Sample index');
ylabel('Amplitude');
subplot(2,1,2);
plot(n, y);
title(['FrFT with alpha=' num2str(alpha)]);
xlabel('Sample index');
ylabel('Amplitude');

This code generates a plot that shows the original signal and its FrFT with a rotation angle of 0.5 radians. You can modify the rotation angle and the input signal to experiment with different FrFT results.