Standard Periodic Waveforms

square, triangle and sawtooth by adding sinusoids.

\scalebox{0.4}{\includegraphics{eps/waveforms}}


Table 1: Standard Waveforms Synthesized by Adding Sinusoids
         
Type Harmonics Amplitude Phase (cos) Phase (sin)
         
         
square $ n = [1, 3, 5, ..., N]$ $ 1/n$ $ -\pi/2$ 0
         
         
triangle $ n = [1, 3, 5, ..., N]$ $ 1/n^2$ 0 $ \pi/2$
         
         
sawtooth $ n = [1, 2, 3, ..., N]$ $ 1/n$ $ -\pi/2$ 0
         


``Music 175: Spectrum'' by Tamara Smyth, Department of Music, University of California, San Diego (UCSD).
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Copyright © 2020-04-02 by Tamara Smyth.
Please email errata, comments, and suggestions to Tamara Smyth<trsmyth@ucsd.edu>