wavelet

wavelet, an Octave code which implements utilities for computations involving wavelets.

Licensing:

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

Languages:

wavelet is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version.

Related Data and Programs:

wavelet_test

haar_transform, an Octave code which computes the Haar transform of data.

sftpack, an Octave code which implements the "slow" Fourier transform, intended as a teaching tool and comparison with the fast Fourier transform.

sine_transform, an Octave code which demonstrates some simple properties of the discrete sine transform.

walsh_transform, an Octave code which implements versions of the Walsh and Haar transforms.

Reference:

1. 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:

• cascade.m carries out the cascade algorithm.
• daub_coefficients.m returns a Daubechies coefficient vector for even orders 2 through 20.
• daub2_matrix.m returns the DAUB2 matrix.
• daub2_scale.m recursively evaluates the DAUB2 scaling function.
• daub2_scale_plot.m plots the DAUB2 scaling function.
• daub2_transform.m computes the DAUB2 transform of a vector.
• daub2_transform_inverse.m inverts the DAUB2 transform of a vector.
• daub4_matrix.m returns the DAUB4 matrix.
• daub4_scale.m recursively evaluates the DAUB4 scaling function.
• daub4_scale_plot.m plots the DAUB4 scaling function.
• daub4_transform.m computes the DAUB4 transform of a vector.
• daub4_transform_inverse.m inverts the DAUB4 transform of a vector.
• daub6_matrix.m returns the DAUB6 matrix.
• daub6_scale.m recursively evaluates the DAUB6 scaling function.
• daub6_scale_plot.m plots the DAUB6 scaling function.
• daub6_transform.m computes the DAUB6 transform of a vector.
• daub6_transform_inverse.m inverts the DAUB6 transform of a vector.
• daub8_matrix.m returns the DAUB8 matrix.
• daub8_scale.m recursively evaluates the DAUB8 scaling function.
• daub8_scale_plot.m plots the DAUB8 scaling function.
• daub8_transform.m computes the DAUB8 transform of a vector.
• daub8_transform_inverse.m inverts the DAUB8 transform of a vector.
• daub10_matrix.m returns the DAUB10 matrix.
• daub10_scale.m recursively evaluates the DAUB10 scaling function.
• daub10_scale_plot.m plots the DAUB10 scaling function.
• daub10_transform.m computes the DAUB10 transform of a vector.
• daub10_transform_inverse.m inverts the DAUB10 transform of a vector.
• daub12_matrix.m returns the DAUB12 matrix.
• daub12_transform.m computes the DAUB12 transform of a vector.
• daub12_transform_inverse.m inverts the DAUB12 transform of a vector.
• daub14_transform.m computes the DAUB14 transform of a vector.
• daub14_transform_inverse.m inverts the DAUB14 transform of a vector.
• daub16_transform.m computes the DAUB16 transform of a vector.
• daub16_transform_inverse.m inverts the DAUB16 transform of a vector.
• daub18_transform.m computes the DAUB18 transform of a vector.
• daub18_transform_inverse.m inverts the DAUB18 transform of a vector.
• daub20_transform.m computes the DAUB20 transform of a vector.
• daub20_transform_inverse.m inverts the DAUB20 transform of a vector.
• i4_wrap.m forces an I4 to lie between given limits by wrapping.
• r8mat_is_identity.m tests how closely a matrix is to the identity matrix.
• r8vec_conjugate.m reverses a vector and negates even-indexed entries.