gsl_wavelet structure contains the filter coefficients
defining the wavelet and any associated offset parameters.
— Function: gsl_wavelet * gsl_wavelet_alloc
(const gsl_wavelet_type * T, size_t k
This function allocates and initializes a wavelet object of type
T. The parameter k selects the specific member of the
wavelet family. A null pointer is returned if insufficient memory is
available or if a unsupported member is selected.
The following wavelet types are implemented:
— Wavelet: gsl_wavelet_daubechies
— Wavelet: gsl_wavelet_daubechies_centered
This is the Daubechies wavelet family of maximum phase with k/2
vanishing moments. The implemented wavelets are
k=4, 6, ..., 20, with k even.
— Wavelet: gsl_wavelet_haar
— Wavelet: gsl_wavelet_haar_centered
This is the Haar wavelet. The only valid choice of k for the
Haar wavelet is k=2.
— Wavelet: gsl_wavelet_bspline
— Wavelet: gsl_wavelet_bspline_centered
This is the biorthogonal B-spline wavelet family of order (i,j).
The implemented values of k = 100*i + j are 103, 105, 202, 204,
206, 208, 301, 303, 305 307, 309.
The centered forms of the wavelets align the coefficients of the various
sub-bands on edges. Thus the resulting visualization of the
coefficients of the wavelet transform in the phase plane is easier to
— Function: const char * gsl_wavelet_name
(const gsl_wavelet * w
This function returns a pointer to the name of the wavelet family for
— Function: void gsl_wavelet_free
(gsl_wavelet * w
This function frees the wavelet object w.
gsl_wavelet_workspace structure contains scratch space of the
same size as the input data and is used to hold intermediate results
during the transform.
— Function: gsl_wavelet_workspace * gsl_wavelet_workspace_alloc
This function allocates a workspace for the discrete wavelet transform.
To perform a one-dimensional transform on n elements, a workspace
of size n must be provided. For two-dimensional transforms of
n-by-n matrices it is sufficient to allocate a workspace of
size n, since the transform operates on individual rows and
columns. A null pointer is returned if insufficient memory is available.
— Function: void gsl_wavelet_workspace_free
(gsl_wavelet_workspace * work
This function frees the allocated workspace work.
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