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Bandlimited Synthesis of Classic Waveforms
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Classic Analog Waveforms
Waveform Spectra
As expected for all periodic sequences, the spectra of these fundamental waveforms are harmonic (see Figs.
6
and
7
).
It is relatively simple to find analytical expressions for these spectra in terms of their Fourier series.
The Fourier series for a square wave of fundamental frequency
is given by:
The Fourier series for a sawtooth wave of fundamental frequency
is given by:
The Fourier series for a triangular wave of fundamental frequency
is given by:
These expressions indicate that each waveform is composed of an infinite number of harmonically related sinusoids.
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.