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DynamicSystems

  

Ramp

  

generate a ramp waveform

 

Calling Sequence

Parameters

Options

Description

Examples

Calling Sequence

Ramp( )

Ramp(slope, t0, y0, opts)

Parameters

slope

-

(optional) algebraic; slope of ramp; default is 1

t0

-

(optional) algebraic; delay to start of ramp; default is 0

y0

-

(optional) algebraic; initial value; default is 0

opts

-

(optional) equation(s) of the form option = value; specify options for the Ramp 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 Ramp command generates a ramp waveform.

• 

By default, Ramp returns a piecewise expression representing a ramp. If the option discrete is assigned true, Ramp returns a Vector of data points.

• 

The optional parameter slope specifies the slope of the ramp. Its default value is one.

• 

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

• 

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

Examples

withDynamicSystems:

Ramp

&lcub;0t<0totherwise

(1)

Rampk&comma;t0&comma;y0

&lcub;y0t<t0y0&plus;kt0&plus;totherwise

(2)

Rampdiscrete&equals;true%T

0.1.2.3.4.5.6.7.8.9.

(3)

plotRamp2&comma;1&comma;1&comma;t&equals;3..3

See Also

DynamicSystems

DynamicSystems[Chirp]

DynamicSystems[Sinc]

DynamicSystems[Sine]

DynamicSystems[Square]

DynamicSystems[Step]

DynamicSystems[Triangle]

 


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