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<html>
<head>
<title>
WAVELET - Wavelet Computations.
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
WAVELET <br> Wavelet Computations.
</h1>
<hr>
<p>
<b>WAVELET</b>
is a C++ library which
contains some utilities for computations involving wavelets.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this
web page are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>WAVELET</b> is available in
<a href = "../../c_src/wavelet/wavelet.html">a C version</a> and
<a href = "../../cpp_src/wavelet/wavelet.html">a C++ version</a> and
<a href = "../../f77_src/wavelet/wavelet.html">a FORTRAN77 version</a> and
<a href = "../../f_src/wavelet/wavelet.html">a FORTRAN90 version</a> and
<a href = "../../m_src/wavelet/wavelet.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/haar/haar.html">
HAAR</a>,
a C++ library which
computes the Haar transform of data.
</p>
<p>
<a href = "../../cpp_src/sftpack/sftpack.html">
SFTPACK</a>,
a C++ library which
implements the "slow" Fourier transform, intended as a teaching
tool and comparison with the fast Fourier transform.
</p>
<p>
<a href = "../../cpp_src/sine_transform/sine_transform.html">
SINE_TRANSFORM</a>,
a C++ library which
demonstrates some simple properties of the discrete sine transform.
</p>
<p>
<a href = "../../cpp_src/walsh/walsh.html">
WALSH</a>,
a C++ library which
implements versions of the Walsh and Haar transforms.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Gilbert Strang, Truong Nguyen,<br>
Wavelets and Filter Banks,<br>
Wellesley-Cambridge Press, 1997,<br>
ISBN: 0-9614088-7-1,<br>
LC: TK7872.F5S79 / QA403.3.S87
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "wavelet.cpp">wavelet.cpp</a>, the source code.
</li>
<li>
<a href = "wavelet.hpp">wavelet.hpp</a>, the include file.
</li>
<li>
<a href = "wavelet.sh">wavelet.sh</a>,
BASH commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "wavelet_prb.cpp">wavelet_prb.cpp</a>,
a sample calling program.
</li>
<li>
<a href = "wavelet_prb.sh">wavelet_prb.sh</a>,
BASH commands to compile and run the sample program.
</li>
<li>
<a href = "wavelet_prb_output.txt">wavelet_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>CASCADE</b> carries out the cascade algorithm.
</li>
<li>
<b>DAUB_COEFFICIENTS</b> returns a set of Daubechies coefficients.
</li>
<li>
<b>DAUB2_MATRIX</b> returns the DAUB2 matrix.
</li>
<li>
<b>DAUB2_SCALE</b> recursively evaluates the DAUB2 scaling function.
</li>
<li>
<b>DAUB2_TRANSFORM</b> computes the DAUB2 transform of a vector.
</li>
<li>
<b>DAUB2_TRANSFORM_INVERSE</b> inverts the DAUB2 transform of a vector.
</li>
<li>
<b>DAUB4_MATRIX</b> returns the DAUB4 matrix.
</li>
<li>
<b>DAUB4_SCALE</b> recursively evaluates the DAUB4 scaling function.
</li>
<li>
<b>DAUB4_TRANSFORM</b> computes the DAUB4 transform of a vector.
</li>
<li>
<b>DAUB4_TRANSFORM_INVERSE</b> inverts the DAUB4 transform of a vector.
</li>
<li>
<b>DAUB6_MATRIX</b> returns the DAUB6 matrix.
</li>
<li>
<b>DAUB6_SCALE</b> recursively evaluates the DAUB6 scaling function.
</li>
<li>
<b>DAUB6_TRANSFORM</b> computes the DAUB6 transform of a vector.
</li>
<li>
<b>DAUB6_TRANSFORM_INVERSE</b> inverts the DAUB6 transform of a vector.
</li>
<li>
<b>DAUB8_MATRIX</b> returns the DAUB8 matrix.
</li>
<li>
<b>DAUB8_SCALE</b> recursively evaluates the DAUB8 scaling function.
</li>
<li>
<b>DAUB8_TRANSFORM</b> computes the DAUB8 transform of a vector.
</li>
<li>
<b>DAUB8_TRANSFORM_INVERSE</b> inverts the DAUB8 transform of a vector.
</li>
<li>
<b>DAUB10_MATRIX</b> returns the DAUB10 matrix.
</li>
<li>
<b>DAUB10_SCALE</b> recursively evaluates the DAUB10 scaling function.
</li>
<li>
<b>DAUB10_TRANSFORM</b> computes the DAUB10 transform of a vector.
</li>
<li>
<b>DAUB10_TRANSFORM_INVERSE</b> inverts the DAUB10 transform of a vector.
</li>
<li>
<b>DAUB12_MATRIX</b> returns the DAUB12 matrix.
</li>
<li>
<b>DAUB12_TRANSFORM</b> computes the DAUB12 transform of a vector.
</li>
<li>
<b>DAUB12_TRANSFORM_INVERSE</b> inverts the DAUB12 transform of a vector.
</li>
<li>
<b>DAUB14_TRANSFORM</b> computes the DAUB14 transform of a vector.
</li>
<li>
<b>DAUB14_TRANSFORM_INVERSE</b> inverts the DAUB14 transform of a vector.
</li>
<li>
<b>DAUB16_TRANSFORM</b> computes the DAUB16 transform of a vector.
</li>
<li>
<b>DAUB16_TRANSFORM_INVERSE</b> inverts the DAUB16 transform of a vector.
</li>
<li>
<b>DAUB18_TRANSFORM</b> computes the DAUB18 transform of a vector.
</li>
<li>
<b>DAUB18_TRANSFORM_INVERSE</b> inverts the DAUB18 transform of a vector.
</li>
<li>
<b>DAUB20_TRANSFORM</b> computes the DAUB20 transform of a vector.
</li>
<li>
<b>DAUB20_TRANSFORM_INVERSE</b> inverts the DAUB20 transform of a vector.
</li>
<li>
<b>I4_IS_POWER_OF_2</b> reports whether an I4 is a power of 2.
</li>
<li>
<b>I4_MAX</b> returns the maximum of two I4's.
</li>
<li>
<b>I4_MIN</b> returns the minimum of two I4's.
</li>
<li>
<b>I4_MODP</b> returns the nonnegative remainder of I4 division.
</li>
<li>
<b>I4_WRAP</b> forces an I4 to lie between given limits by wrapping.
</li>
<li>
<b>R8_UNIFORM_01</b> returns a unit pseudorandom R8.
</li>
<li>
<b>R8MAT_IS_IDENTITY</b> determines if an R8MAT is the identity.
</li>
<li>
<b>R8MAT_ZERO_NEW</b> returns a new zeroed R8MAT.
</li>
<li>
<b>R8VEC_CONJUGATE</b> reverses a vector and negates even-indexed entries.
</li>
<li>
<b>R8VEC_CONVOLUTION</b> returns the convolution of two R8VEC's.
</li>
<li>
<b>R8VEC_COPY_NEW</b> copies an R8VEC to a new R8VEC.
</li>
<li>
<b>R8VEC_LINSPACE_NEW</b> creates a vector of linearly spaced values.
</li>
<li>
<b>R8VEC_PRINT</b> prints an R8VEC.
</li>
<li>
<b>R8VEC_UNIFORM_01_NEW</b> returns a new unit pseudorandom R8VEC.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../cpp_src.html">
the C++ source codes</a>.
</p>
<hr>
<i>
Last revised on 13 May 2012.
</i>
<!-- John Burkardt -->
</body>
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</html>