#include <GaussianModulatedSinusoid.hpp>

Inheritance diagram for GaussianModulatedSinusoid:

Public Member Functions
	GaussianModulatedSinusoid ()
	GaussianModulatedSinusoid (const double magnitude, const double frequency, const double mean, const double std_dev)
	Create a Gaussian modulated sinusoid signal.
virtual double	getValue (const double x) const
	Evaluate the function at x.
virtual void	setScale (const double magnitude)
virtual double	getDf (const double x) const
	Evaluate the first-order derivative at x.
virtual double	getFrequency () const
	return the central frequency
int	getType () const
virtual	~GaussianModulatedSinusoid ()
Public Member Functions inherited from Function
	Function ()
double	rtnewt (const double x1, const double x2, const double xacc) const
	Use the Newton-Raphson method, find the root of a function known to line in the interval [x1, x2].
double	rtsecan (double xn_1, double xn, const double xacc) const
	o * Use the secant method to find the root of a function with the initial guess at xn_1 and xn.
virtual	~Function ()

Private Attributes
double	A
	Peak amplitude.
double	f_c
	Carrier frequency.
double	mu
	Temporal delay, equal to 7*sigma to ensure a smooth transition from 0 to non zero.
double	sigma
	Temporal variance.

Constructor & Destructor Documentation

GaussianModulatedSinusoid::GaussianModulatedSinusoid ( )

GaussianModulatedSinusoid::GaussianModulatedSinusoid	(	const double	magnitude,
		const double	frequency,
		const double	mean,
		const double	std_dev
	)

Create a Gaussian modulated sinusoid signal.

The peak of the Gaussian envelop is aligned with the zero of the sinusoid.

The exact function implemented here is

$g(x) = A e^{-\frac{(x-\mu)^2}{2\sigma^2}}\sin(2\pi f_c x + \theta)$

where $\theta = -2\pi f_c \mu$ .

Parameters

magnitude
frequency
mean	$\mu$
std_dev	$\sigma$

virtual GaussianModulatedSinusoid::~GaussianModulatedSinusoid ( )

inlinevirtual

Member Function Documentation

double GaussianModulatedSinusoid::getDf ( const double x ) const

virtual

Evaluate the first-order derivative at x.

Reimplemented from Function.

double GaussianModulatedSinusoid::getFrequency ( ) const

virtual

return the central frequency

Reimplemented from Function.

int GaussianModulatedSinusoid::getType ( ) const

double GaussianModulatedSinusoid::getValue ( const double x ) const

virtual

Evaluate the function at x.

Reimplemented from Function.

void GaussianModulatedSinusoid::setScale ( const double magnitude )

virtual

Reimplemented from Function.

Member Data Documentation

double GaussianModulatedSinusoid::A

private

Peak amplitude.

double GaussianModulatedSinusoid::f_c

private

Carrier frequency.

double GaussianModulatedSinusoid::mu

private

Temporal delay, equal to 7*sigma to ensure a smooth transition from 0 to non zero.

Avoid high-frequency component

double GaussianModulatedSinusoid::sigma

private

Temporal variance.

The documentation for this class was generated from the following files:

include/GaussianModulatedSinusoid.hpp
src/GaussianModulatedSinusoid.cpp

Public Member Functions

Private Attributes

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation