discrete = truefalse

samplecount = posint

sampletime = positive

The Sinc command generates a sinc pulse.

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

The optional parameter yht specifies the height of the main pulse above the baseline. Its default value is one.

The optional parameter Tw specifies the half-width of the base of the main pulse; this is the duration from t=t0 to the first crossing of y=y0.

The optional parameter t0 specifies the temporal location of the center of the main pulse. Its default value is zero.

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

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

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

$\frac{\sin \left(\mathrm{\pi }t\right)}{\mathrm{\pi }t}$

$\mathrm{Sinc}\left(\mathrm{yht}\,\mathrm{Tw}\,\mathrm{t0}\,\mathrm{y0}\right)$

$\mathrm{y0}+\frac{\mathrm{yht}\sin \left(\frac{\mathrm{\pi }\left(t-\mathrm{t0}\right)}{\mathrm{Tw}}\right)\mathrm{Tw}}{\mathrm{\pi }\left(t-\mathrm{t0}\right)}$

${\mathrm{Sinc}\left(\mathrm{discrete}=\mathrm{true}\right)}^{\mathrm{\%T}}$

$\left[\begin{array}{cccccccccc}1.& 0.6366197722& \mathrm{-1.305728676}\times {10}^{\mathrm{-10}}& \mathrm{-0.2122065907}& 1.305728676\times {10}^{\mathrm{-10}}& 0.1273239544& \mathrm{-1.305728676}\times {10}^{\mathrm{-10}}& \mathrm{-0.09094568174}& 4.488827538\times {10}^{\mathrm{-10}}& 0.07073553024\end{array}\right]$

$\mathrm{plot}\left(\mathrm{Sinc}\left(2\,2\,0\,0\right)\,t=-10..10\right)$