Fractional Fourier Transform for Signal Processing with MATLAB Implementation

Below is the MATLAB source code for fractional Fourier transform used in signal processing, which we hope will be beneficial for your work:

```matlab

% Fractional Fourier Transform Function

function y = fractal_fourier_transform(x)

% Implementation of fractional Fourier transform algorithm

% The code employs discrete fractional Fourier transformation methods

% involving eigenvalue decomposition and orthogonal projections

% Algorithm includes rotation in the time-frequency plane with fractional order parameter

% ...

% ...

% ...

y = transformed_signal; % Transformed output signal after fractional Fourier operation

end

% Usage Example

x = input_signal; % Input signal vector or matrix

y = fractal_fourier_transform(x); % Call fractional Fourier transform function

disp(y); % Display the transformed signal results

```

This MATLAB source code implements fractional Fourier transform for signal processing applications. The fractional Fourier transform extends the classical Fourier transform by introducing a fractional order parameter, enabling rotation in the time-frequency plane. This code can be particularly useful for time-frequency analysis, signal compression, and filtering applications. If you have any technical questions or require clarification on implementation details, please feel free to consult.