Exponential Chirp - MapleSim Help

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Exponential Chirp

Generates a real sine signal, which varies exponentially in frequency over time

 

Description

Connections

Parameters

See Also

Description

The Exponential Chirp component generates a sine wave signal at the output, y. Its equation is

y&equals;&lcub;amplitudesin2&pi;ff0lnk&plus;offsettT0 and tT0&plus;Troffsett<T0 or t &gt; T0&plus;Tr

where f is the instantaneous frequency,

f&equals;f0ktT0

and k  is the exponential rate of change of frequency with respect to time,

k  &equals; f1f01Tr

The instantaneous frequency of the generated sine wave varies exponentially from f0 at time T0 to f1 at time T0&plus;Tr

For example, if f0&equals;1, f1&equals;1000, and Tr&equals;3, then the frequency will be 1Hz at time T0, 10Hz at time T0&plus;1, 100Hz at time T0&plus;2, and 1000Hz at time T0&plus;3.

Connections

Name

Description

y

Real output signal connection                

f

Instantaneous frequency

Parameters

Symbol

Default

Units

Description

Modelica ID

amplitude

1

-

Amplitude of the sine wave

amplitude

f0

1

Hz

Initial frequency of the sine wave

freqHz1

f1

10

Hz

Final frequency of the sine wave

freqHz2

offset

0

-

Offset of the output signal

offset

T0

0

s

Time offset

startTime

Tr

2

s

Duration of the chirp

duration

See Also

Real Signal Sources

Boolean Signal Sources

Integer Signal Sources

Signal Blocks Overview