Fourier Series Calculation for Typical Digital Clock Waveforms
Rules and Theories
For a periodic signal x(t) with period T, the Fourier series representation is given by
where is the fundamental angular frequency. The coefficients are defined by
and t1 can be any value. In this applet, t1 = 0 is chosen. An description for the time-domain signal is given for one of the following cases:
(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 tr
(3) Trapezoidal wave, for a given pulse-width at half-maximum , rise-time tr, falloff-time tf
The time domain waveform is plotted for the number of periods specified by the user. The magnitude of the selected number of coefficients |cn| are plotted. All important numeric values are also reported.
The Applet and User's Guide
Clayton R. Paul, "Introduction to Electromagnetic Compatibility", John Wiley, New York, 1992, pp.335-377.
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