Updated 04 Nov 2021
The MATLAB FFT/IFFT functions are good but not so easy to use for real periodic signal:
- the ordering of the frequency vector is confusing due to the negative frequencies (spectrums are symmetric)
- the coefficients are not scaled as in a Fourier series due to the definition of the DFT
The provided MATLAB functions offer different functionalities around Fourier series:
- get time and frequency vector
- wrappers around the MATLAB FFT/IFFT functions that scale periodic signals as Fourier series coefficients
- many signals can be processed at the same time (matrices)
The following functions are offered for signal generation:
- generate spectrum of arbitrary PWM periodic signals directly in the frequency domain
- generate PWM signals with a finite/infinite slew rate
- generate DC and AC sinusoidal signals
Additionally, several transformations can be applied to frequency domain signals:
- apply low-pass filters (e.g., first-order, second-order)
- apply simple transformations (eg., delay, phase shift, AC coupling)
- Tested with MATLAB R2018b and R2021b.
- No toolboxes are required.
- Compatibility with GNU Octave not tested but probably easy to achieve.
Thomas Guillod - GitHub Profile
This project is licensed under the BSD License, see LICENSE.md.
Thomas Guillod (2021). fourier_series_pwm_matlab (https://github.com/otvam/fourier_series_pwm_matlab), GitHub. Retrieved .
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