Namespace drift::wavelet¶

Namespace List > drift > wavelet

Public Types¶

Type	Name
enum	Padding
typedef blaze::CompressedMatrix< DataType >	Signal2DCompressed

Public Functions¶

Type	Name
blaze::CompressedMatrix< DataType >	DaubechiesMat (size_t size, int order=4, Padding padding=Padding::Periodized)
std::tuple< Signal1D, Signal1D, Signal1D, Signal1D >	Orthfilt (Signal1D const & W_in)
Signal1D	dbwavf (const int wnum)
std::tuple< blaze::DynamicVector< DataType >, blaze::DynamicVector< DataType > >	dwt (const blaze::DynamicVector< DataType > & signal, const blaze::CompressedMatrix< DataType > & dmat)
std::tuple< Signal2D, Signal2D, Signal2D, Signal2D >	dwt2 (Signal2D const & x, Signal2DCompressed const & dmat_w, Signal2DCompressed const & dmat_h)
Signal2D	dwt2s (Signal2D const & x, Signal2DCompressed const & dmat_w, Signal2DCompressed const & dmat_h)
blaze::DynamicVector< DataType >	idwt (const blaze::DynamicVector< DataType > & low_subband, const blaze::DynamicVector< DataType > & high_subband, const blaze::CompressedMatrix< DataType > & dmat)
Signal2D	idwt2 (const Signal2D & ll, const Signal2D & lh, const Signal2D & hl, const Signal2D & hh, const Signal2DCompressed & dmat_w, const Signal2DCompressed & dmat_h)

Public Types Documentation¶

enum Padding¶

enum drift::wavelet::Padding {
    ZeroDerivative,
    Periodized
};

Padding type

typedef Signal2DCompressed¶

using drift::wavelet::Signal2DCompressed = typedef blaze::CompressedMatrix<DataType>;

Public Functions Documentation¶

function DaubechiesMat¶

blaze::CompressedMatrix< DataType > drift::wavelet::DaubechiesMat (
    size_t size,
    int order=4,
    Padding padding=Padding::Periodized
)

Construct convolutional matrix for wavelet transform

Parameters:

size
order
padding padding type

Returns:

function Orthfilt¶

std::tuple< Signal1D, Signal1D, Signal1D, Signal1D > drift::wavelet::Orthfilt (
    Signal1D const & W_in
)

Computes the four lowpass and highpass, decomposition and reconstruction filters associated with the scaling filter W corresponding to a wavelet

Parameters:

W_in Scaling filter corresponding to a wavelet

Returns:

Decomposition: lowpass, highpass; Reconstruction: lowpass, highpass

function dbwavf¶

Signal1D drift::wavelet::dbwavf (
    const int wnum
)

Construct the scaling filter associated with the Daubechies wavelet

Parameters:

wnum Daubechies wavelet vanishing moments, positive integer in the closed interval [1, 10]

Returns:

Scaling filter values

function dwt¶

std::tuple< blaze::DynamicVector< DataType >, blaze::DynamicVector< DataType > > drift::wavelet::dwt (
    const blaze::DynamicVector< DataType > & signal,
    const blaze::CompressedMatrix< DataType > & dmat
)

Wavelet decomposition using Daubechies matrix

Parameters:

signal
dmat convolutional matrix / 2 row with Lo_D, Hi_D filters

Returns:

function dwt2¶

std::tuple< Signal2D, Signal2D, Signal2D, Signal2D > drift::wavelet::dwt2 (
    Signal2D const & x,
    Signal2DCompressed const & dmat_w,
    Signal2DCompressed const & dmat_h
)

function dwt2s¶

Signal2D drift::wavelet::dwt2s (
    Signal2D const & x,
    Signal2DCompressed const & dmat_w,
    Signal2DCompressed const & dmat_h
)

function idwt¶

blaze::DynamicVector< DataType > drift::wavelet::idwt (
    const blaze::DynamicVector< DataType > & low_subband,
    const blaze::DynamicVector< DataType > & high_subband,
    const blaze::CompressedMatrix< DataType > & dmat
)

Wavelet composition using Daubechies matrix

Parameters:

low_subband
high_subband
dmat convolutional matrix / 2 row with Lo_R, Hi_R filters

Returns:

function idwt2¶

Signal2D drift::wavelet::idwt2 (
    const Signal2D & ll,
    const Signal2D & lh,
    const Signal2D & hl,
    const Signal2D & hh,
    const Signal2DCompressed & dmat_w,
    const Signal2DCompressed & dmat_h
)

The documentation for this class was generated from the following file wavelet_buffer/wavelet.h