Creating Standard Periodic Waveforms

The following table gives the harmonic number, relative amplitude and phase of the harmonics for standard waveforms.

Table 1: Other Simple Waveforms Synthesized by Adding Sinusoids

Type	Harmonics	Amplitude	Phase	Phase
			(cosine)	(sine)
square	$n = [1, 3, 5, ..., N]$	$1/n$	$-\pi/2$	0
	(odd)
triangle	$n = [1, 3, 5, ..., N]$	$1/n^2$	0	$\pi/2$
	(odd)
sawtooth	$n = [1, 2, 3, ..., N]$	$1/n$	$-\pi/2$	0
	(even and odd)

Notice that the phase differs depending on whether you use a sine or cosine function.