## Fourier Series Calculation for Typical Digital Clock Waveforms |
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## Features- Compute complex Fourier series coefficients (harmonics) of rectangular, triangular or trapezoidal shaped waveform
- Plot both the time-domain waveform and the magnitude of the coefficients
- Report numerical values of computed magnitude of the coefficients
## Rules and TheoriesFor a periodic signal
where is the fundamental angular frequency. The coefficients are defined by
and (1) Square wave, for a given pulse width
(2) Triangular wave, for a given pulse-width at half-maximum
and minimum to maximum rise-time
(3) Trapezoidal wave, for a given pulse-width at half-maximum
, rise-time t_{f}
The time domain waveform is plotted for the number of periods specified by the user. The magnitude of the selected number of coefficients |c ## The Applet and User's Guide
- Choose the appropriate type for the waveform of concern by clicking one of the stubs named "Square", "Triangle" or "Trapezoidal"
- Set the timing parameters for the chosen type of waveform
- Set the number of periods to be shown in the time-domain plot
- Set the number of harmonics needed
- Click the "Calculate" button
## ReferencesClayton R. Paul, "Introduction to Electromagnetic Compatibility", John Wiley, New York, 1992, pp.335-377. |
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