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DynamicSystems

  

Square

  

generate a periodic square waveform

 

Calling Sequence

Parameters

Options

Description

Examples

Calling Sequence

Square( )

Square(yht, f, d, t0, y0, opts)

Parameters

yht

-

(optional) algebraic; height of square wave; default is 1

f

-

(optional) algebraic; frequency of waveform; default is 1

d

-

(optional) algebraic; duty cycle from 0 to 1; default is 1/2

t0

-

(optional) algebraic; delay to start of square 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 Square 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].

• 

hertz = truefalse

Specifies that frequency is in hertz (cycles/second); otherwise frequency is in radians/second. The default is the value of hertz in DynamicSystems[SystemOptions].

Description

• 

The Square command generates a periodic square waveform.

• 

By default, Square returns an expression representing the waveform. If the option discrete is assigned true, Square 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 d specifies the duty-cycle of the square wave. A numeric value must be between 0 and 1, inclusive.

• 

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.

Examples

withDynamicSystems:

Square

&lcub;1t2&pi;trunc12t&pi;<&pi;0otherwise

(1)

Squareyht&comma;f&comma;d&comma;t0&comma;y0

&lcub;y0t<t0y0&plus;&lcub;yhttt02&pi;trunc12tt0f&pi;f<2d&pi;f0otherwiseotherwise

(2)

Squarediscrete&equals;true%T

1.1.1.1.0.0.0.1.1.1.

(3)

plotSquare2&comma;34&comma;12&comma;0&comma;t&equals;0..18

See Also

DynamicSystems

DynamicSystems[Chirp]

DynamicSystems[Ramp]

DynamicSystems[Sinc]

DynamicSystems[Sine]

DynamicSystems[Step]

DynamicSystems[Triangle]

 


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