Linear Chirp - MapleSim Help

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Home : Support : Online Help : MapleSim : MapleSim Component Library : Signal Blocks : Sources : Real : Linear Chirp

Linear Chirp

Generate a chirp whose frequency which varies linearly with time

Modelica Standard Library

	Description
	The Linear Chirp component generates a constant amplitude chirp whose instantaneous frequency, $f$ , varies linearly 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
	$f = f_{1} + k (t - T_{0})$ ${int}_{f} = f_{1} (t - T_{0}) + \frac{1}{2} k {(t - T_{0})}^{2}$ $y = y_{0} + {\begin{array}{c} A \sin (2 π {int}_{f}) & T_{0} \leq t \leq T_{0} + T_{d} \\ 0 & otherwise \end{array}$

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

	Modelica Standard Library
	The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.

See Also

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