Exponential Chirp - MapleSim Help

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Exponential Chirp

Generate a chirp whose frequency varies exponentially with time

	Description
	The Exponential Chirp component generates a constant amplitude chirp whose instantaneous frequency, $f$ , varies exponentially with time. The chirp begins at time $T_{0}$ and ends after duration $T_{d}$ . The instantaneous frequency varies from $f_{1}$ to $f_{2}$ .

	Equations
	$f = f_{1} \exp ((t - T_{0}) logk)$ ${int}_{f} = {\begin{array}{c} f_{1} (t - T_{0}) & logk = 0 \\ \frac{f - f_{1}}{logk} & otherwise \end{array}$ $y = y_{0} + {\begin{array}{c} A \sin (2 π {int}_{f}) & T_{0} \leq t \leq T_{0} + T_{d} \\ 0 & otherwise \end{array}$ $logk = \frac{\log (\frac{f_{2}}{f_{1}})}{T_{d}}$

Connections

Name	Description	Modelica ID
$y$	Real output signal	y
$f$	Instantaneous frequency	f

Parameters

Name	Default	Units	Description	Modelica ID
$y_{0}$	$0$		Offset of output signal	offset
$A$	$1$		Amplitude of sine wave	amplitude
$f_{1}$	$1$	$Hz$	Initial frequency	freqHz1
$f_{2}$	$10$	$Hz$	Final frequency	freqHz2
$T_{0}$	$0$	$s$	Start of chirp	startTime
$T_{d}$	$2$	$s$	Duration of chirp	duration

See Also

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