discrete = truefalse

samplecount = posint

sampletime = positive

hertz = truefalse

The Triangle command generates a periodic triangular waveform.

By default, Triangle returns an expression representing the waveform. If the option discrete is assigned true, Triangle returns a Vector of data points.

The optional parameter yht specifies the height of the signal. Its default value is one.

The optional parameter f specifies the frequency of the waveform. The default is one. The units of f are determined by the keyword parameter hertz.

The optional parameter shape specifies the shape of the triangle. A numeric value must be between 0 and 1, inclusive. The value of shape corresponds to the relative duration of the initial slope to the period. The default of 1 generates a saw-tooth waveform with a step falling edge.

The optional parameter t0 specifies the start time of the waveform. Its default value is zero.

The optional parameter y0 specifies the initial value. Its default value is zero.

$\mathrm{with}\left(\mathrm{DynamicSystems}\right)\:$

$\mathrm{Triangle}\left(\right)$

$\frac{t-2\mathrm{\pi }\mathrm{trunc}\left(\frac{t}{2\mathrm{\pi }}\right)}{2\mathrm{\pi }}$

$\mathrm{Triangle}\left(\mathrm{hertz}=\mathrm{true}\right)$

$t-\mathrm{trunc}\left(t\right)$

$\mathrm{evalf}\left[2\right]\left({\mathrm{Triangle}\left(1\,1\,\frac{1}{2}\,0\,0\,\mathrm{samplecount}=8\,\mathrm{sampletime}=\frac{1}{4}\,\mathrm{hertz}=\mathrm{true}\,\mathrm{discrete}=\mathrm{true}\right)}^{\mathrm{\%T}}\right)$

$\left[\begin{array}{cccccccc}0.& 0.50& 1.& 0.50& 0.& 0.50& 1.& 0.50\end{array}\right]$

$\mathrm{plot}\left(\mathrm{Triangle}\left(1\,1\,\frac{2}{3}\,\frac{1}{2}\,\frac{1}{4}\,\mathrm{hertz}=\mathrm{true}\right)\,t=0..3\right)$