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DynamicSystems

  

Sinc

  

generate a sinc pulse

 

Calling Sequence

Parameters

Options

Description

Examples

Calling Sequence

Sinc( )

Sinc(yht, Tw, t0, y0, opts)

Parameters

yht

-

(optional) algebraic; height of main pulse above baseline; default is 1

Tw

-

(optional) algebraic; half-width of main pulse; default is 1

t0

-

(optional) algebraic; delay to main pulse; default is 0

y0

-

(optional) algebraic; baseline; default is 0

opts

-

(optional) equation(s) of the form option = value; specify options for the Sinc 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 half the value of sampletime in DynamicSystems[SystemOptions].

Description

• 

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.

Examples

withDynamicSystems:

Sinc

sinπtπt

(1)

Sincyht,Tw,t0,y0

y0+yhtsinπtt0TwTwπtt0

(2)

Sincdiscrete=true%T

1.0.63661977221.30572867610-100.21220659071.30572867610-100.12732395441.30572867610-100.090945681744.48882753810-100.07073553024

(3)

plotSinc2,2,0,0,t=10..10

See Also

DynamicSystems

DynamicSystems[Chirp]

DynamicSystems[Ramp]

DynamicSystems[Sine]

DynamicSystems[Square]

DynamicSystems[Step]

DynamicSystems[Triangle]

 


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