wt::WaveletTransform Class Reference

Implements a complex, continious wavelet transform (i.e. More...

#include <wavelettransform.hh>

Inheritance diagram for wt::WaveletTransform:

Public Member Functions
	WaveletTransform (const Wavelet &wavelet, const RVector &scales, bool subSample=false)
	Constructs a wavelet transform from the given wavelet at the specified scales. More...
	WaveletTransform (const Wavelet &wavelet, double *scales, int Nscales, bool subSample=false)
	Constructs a wavelet transform from the given wavelet at the specified scales. More...
	WaveletTransform (const WaveletAnalysis &other, bool subSample=false)
	Constructor from other wavelet analysis. More...
virtual	~WaveletTransform ()
	Destructor. More...
template<class iDerived , class oDerived >
void	operator() (const Eigen::DenseBase< iDerived > &signal, Eigen::DenseBase< oDerived > &out)
	Performs the wavelet transform on the given signal and stores the result into the given out matrix. More...
Public Member Functions inherited from wt::WaveletAnalysis
	WaveletAnalysis (const WaveletAnalysis &other)
	Copy constructor. More...
virtual	~WaveletAnalysis ()
	Destructor. More...
size_t	nScales () const
	Returns the number of scales of this wavelet transform. More...
const RVector &	scales () const
	Returns the scales of the wavelet transform. More...
void	scales (double *outScales, int Nscales) const
	Returns the (the first Nscales) scales of the wavelet transform stored in outScales. More...
const Wavelet &	wavelet () const
	Returns the wavelet instance of this transform. More...

Protected Member Functions
void	init_trafo ()
	Actually initializes the transformation. More...
Protected Member Functions inherited from wt::WaveletAnalysis
	WaveletAnalysis (const Wavelet &wavelet, const RVector &scales)
	Hidden constructor from the specified wavelet and scales. More...
	WaveletAnalysis (const Wavelet &wavelet, double *scales, int Nscales)
	Hidden constructor from the specified wavelet and scales. More...

Protected Attributes
bool	_subSample
	If true, the sub-sampling of the input signal is allowed. More...
std::vector< Convolution * >	_filterBank
	The list of convolution filters applied for the wavelet transform. More...
Protected Attributes inherited from wt::WaveletAnalysis
Wavelet	_wavelet
	The (mother-) wavelet to of the transform. More...
RVector	_scales
	The scales (in samples) of the transform. More...

Detailed Description

Implements a complex, continious wavelet transform (i.e.

[2]).

Constructor & Destructor Documentation

WaveletTransform::WaveletTransform	(	const Wavelet &	wavelet,
		const RVector &	scales,
		bool	subSample = false
	)

Constructs a wavelet transform from the given wavelet at the specified scales.

WaveletTransform::WaveletTransform	(	const Wavelet &	wavelet,
		double *	scales,
		int	Nscales,
		bool	subSample = false
	)

Constructs a wavelet transform from the given wavelet at the specified scales.

WaveletTransform::WaveletTransform	(	const WaveletAnalysis &	other,
		bool	subSample = false
	)

Constructor from other wavelet analysis.

WaveletTransform::~WaveletTransform ( )

virtual

Destructor.

Member Function Documentation

void WaveletTransform::init_trafo ( )

protected

Actually initializes the transformation.

template<class iDerived , class oDerived >

void wt::WaveletTransform::operator() ( const Eigen::DenseBase< iDerived > &  signal, Eigen::DenseBase< oDerived > &  out  )

inline

Performs the wavelet transform on the given signal and stores the result into the given out matrix.

The wavelet transformed for the j-th scale is stored in the j-th column of the matrix, hence the matrix must have N rows and K colmums where K is the number of scales and N is the number of samples in signal.

Todo:

Parallelize with OpenMP!

Member Data Documentation

std::vector<Convolution *> wt::WaveletTransform::_filterBank

protected

The list of convolution filters applied for the wavelet transform.

bool wt::WaveletTransform::_subSample

protected

If true, the sub-sampling of the input signal is allowed.

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

• /Users/hannes/Uni/Wavelet/wt/lib/wavelettransform.hh
• /Users/hannes/Uni/Wavelet/wt/lib/wavelettransform.cc