Step - Maple Help

DynamicSystems

 Step
 generate a step waveform

 Calling Sequence Step( ) Step(yht, t0, y0) Step(yht, t0, y0, opts)

Parameters

 yht - (optional) algebraic; height of step wave; default is 1 t0 - (optional) algebraic; delay to start of step wave; default is 0 y0 - (optional) algebraic; initial value; default is 0 opts - (optional) equation(s) of the form option = value; specify options for the Step command

Options

 • discrete = truefalse

Specifies that the output is a Vector containing samples of the waveform. Elements of the Vector are samples of the waveform. The number of elements in the Vector is given by samplecount. The i-th element corresponds to a sample at time t=(i-1)*sampletime. The default is the value of discrete in DynamicSystems[SystemOptions].

 • samplecount = posint

Specifies the number of samples in the output Vector. It is used with the discrete option. The default is the value of samplecount in DynamicSystems[SystemOptions].

 • sampletime = positive

Specifies the time between samples in the output Vector. It is used with the discrete option. The default is the value of sampletime in DynamicSystems[SystemOptions].

Description

 • The Step command generates a step waveform.
 • By default, Step returns a piecewise expression representing a step. If the option discrete is assigned true, Step returns a Vector of data points.
 • The optional parameter yht specifies the height of the step. Its default value is one.
 • The optional parameter t0 specifies the time of the step. Its default value is zero.
 • The optional parameter y0 specifies the initial value. Its default value is zero.

Examples

 > $\mathrm{with}\left(\mathrm{DynamicSystems}\right):$
 > $\mathrm{Step}\left(\right)$
 ${\mathrm{Heaviside}}{}\left({t}\right)$ (1)
 > $\mathrm{Step}\left(\mathrm{yht},\mathrm{t0},\mathrm{y0}\right)$
 ${\mathrm{y0}}{+}{\mathrm{yht}}{}{\mathrm{Heaviside}}{}\left({t}{-}{\mathrm{t0}}\right)$ (2)
 > ${\mathrm{Step}\left(\mathrm{discrete}=\mathrm{true}\right)}^{\mathrm{%T}}$
 $\left[\begin{array}{cccccccccc}{1.}& {1.}& {1.}& {1.}& {1.}& {1.}& {1.}& {1.}& {1.}& {1.}\end{array}\right]$ (3)
 > $\mathrm{plot}\left(\mathrm{Step}\left(2,1,0\right),t=-5..5\right)$