jburkardt

WAVELET\ Wavelet Computations. {#wavelet-wavelet-computations. align=”center”} =====================

WAVELET is a C++ library which contains some utilities for computations involving wavelets.

Licensing: {#licensing align=”center”}

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages: {#languages align=”center”}

WAVELET is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

HAAR, a C++ library which computes the Haar transform of data.

SFTPACK, a C++ library which implements the “slow” Fourier transform, intended as a teaching tool and comparison with the fast Fourier transform.

SINE_TRANSFORM, a C++ library which demonstrates some simple properties of the discrete sine transform.

WALSH, a C++ library which implements versions of the Walsh and Haar transforms.

Reference: {#reference align=”center”}

Gilbert Strang, Truong Nguyen,\ Wavelets and Filter Banks,\ Wellesley-Cambridge Press, 1997,\ ISBN: 0-9614088-7-1,\ LC: TK7872.F5S79 / QA403.3.S87

Source Code: {#source-code align=”center”}

wavelet.cpp, the source code.
wavelet.hpp, the include file.

Examples and Tests: {#examples-and-tests align=”center”}

wavelet_prb.cpp, a sample calling program.
wavelet_prb_output.txt, the output file.

List of Routines: {#list-of-routines align=”center”}

CASCADE carries out the cascade algorithm.
DAUB_COEFFICIENTS returns a set of Daubechies coefficients.
DAUB2_MATRIX returns the DAUB2 matrix.
DAUB2_SCALE recursively evaluates the DAUB2 scaling function.
DAUB2_TRANSFORM computes the DAUB2 transform of a vector.
DAUB2_TRANSFORM_INVERSE inverts the DAUB2 transform of a vector.
DAUB4_MATRIX returns the DAUB4 matrix.
DAUB4_SCALE recursively evaluates the DAUB4 scaling function.
DAUB4_TRANSFORM computes the DAUB4 transform of a vector.
DAUB4_TRANSFORM_INVERSE inverts the DAUB4 transform of a vector.
DAUB6_MATRIX returns the DAUB6 matrix.
DAUB6_SCALE recursively evaluates the DAUB6 scaling function.
DAUB6_TRANSFORM computes the DAUB6 transform of a vector.
DAUB6_TRANSFORM_INVERSE inverts the DAUB6 transform of a vector.
DAUB8_MATRIX returns the DAUB8 matrix.
DAUB8_SCALE recursively evaluates the DAUB8 scaling function.
DAUB8_TRANSFORM computes the DAUB8 transform of a vector.
DAUB8_TRANSFORM_INVERSE inverts the DAUB8 transform of a vector.
DAUB10_MATRIX returns the DAUB10 matrix.
DAUB10_SCALE recursively evaluates the DAUB10 scaling function.
DAUB10_TRANSFORM computes the DAUB10 transform of a vector.
DAUB10_TRANSFORM_INVERSE inverts the DAUB10 transform of a vector.
DAUB12_MATRIX returns the DAUB12 matrix.
DAUB12_TRANSFORM computes the DAUB12 transform of a vector.
DAUB12_TRANSFORM_INVERSE inverts the DAUB12 transform of a vector.
DAUB14_TRANSFORM computes the DAUB14 transform of a vector.
DAUB14_TRANSFORM_INVERSE inverts the DAUB14 transform of a vector.
DAUB16_TRANSFORM computes the DAUB16 transform of a vector.
DAUB16_TRANSFORM_INVERSE inverts the DAUB16 transform of a vector.
DAUB18_TRANSFORM computes the DAUB18 transform of a vector.
DAUB18_TRANSFORM_INVERSE inverts the DAUB18 transform of a vector.
DAUB20_TRANSFORM computes the DAUB20 transform of a vector.
DAUB20_TRANSFORM_INVERSE inverts the DAUB20 transform of a vector.
I4_IS_POWER_OF_2 reports whether an I4 is a power of 2.
I4_MAX returns the maximum of two I4’s.
I4_MIN returns the minimum of two I4’s.
I4_MODP returns the nonnegative remainder of I4 division.
I4_WRAP forces an I4 to lie between given limits by wrapping.
R8_UNIFORM_01 returns a unit pseudorandom R8.
R8MAT_IS_IDENTITY determines if an R8MAT is the identity.
R8MAT_ZERO_NEW returns a new zeroed R8MAT.
R8VEC_CONJUGATE reverses a vector and negates even-indexed entries.
R8VEC_CONVOLUTION returns the convolution of two R8VEC’s.
R8VEC_COPY_NEW copies an R8VEC to a new R8VEC.
R8VEC_LINSPACE_NEW creates a vector of linearly spaced values.
R8VEC_PRINT prints an R8VEC.
R8VEC_UNIFORM_01_NEW returns a new unit pseudorandom R8VEC.
TIMESTAMP prints the current YMDHMS date as a time stamp.

You can go up one level to the C++ source codes.

Last revised on 13 May 2012.