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<html>
<head>
<title>
SINE_TRANSFORM - A Discrete Fourier Transform for Real Data
</title>
</head>
<body bgcolor="#eeeeee" link="#cc0000" alink="#ff3300" vlink="#000055">
<h1 align = "center">
SINE_TRANSFORM <br> A Discrete Fourier Transform for Real Data
</h1>
<hr>
<p>
<b>SINE_TRANSFORM</b>
is a C++ library which
demonstrates some simple properties of the discrete sine transform
for real data.
</p>
<p>
The code is not optimized in any way, and is intended instead for
investigation and education.
</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>SINE_TRANSFORM</b> is available in
<a href = "../../c_src/sine_transform/sine_transform.html">a C version</a> and
<a href = "../../cpp_src/sine_transform/sine_transform.html">a C++ version</a> and
<a href = "../../f77_src/sine_transform/sine_transform.html">a FORTRAN77 version</a> and
<a href = "../../f_src/sine_transform/sine_transform.html">a FORTRAN90 version</a> and
<a href = "../../m_src/sine_transform/sine_transform.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/fft_serial/fft_serial.html">
FFT_SERIAL</a>,
a C++ program which
demonstrates the computation of a Fast Fourier Transform,
and is intended as a starting point for implementing a parallel version.
</p>
<p>
<a href = "../../f_src/fftpack5.1/fftpack5.1.html">
FFTPACK5.1</a>,
a FORTRAN90 library which
implements the Fast Fourier Transform
by Paul Swarztrauber and Dick Valent;
</p>
<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/walsh/walsh.html">
WALSH</a>,
a C++ library which
implements versions of the Walsh and Haar transforms.
</p>
<p>
<a href = "../../cpp_src/wavelet/wavelet.html">
WAVELET</a>,
a C++ library which
does some simple calculations with wavelet transforms;
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
William Briggs, Van Emden Henson,<br>
The DFT: An Owner's Manual for the Discrete Fourier Transform,<br>
SIAM, 1995,<br>
ISBN13: 978-0-898713-42-8,<br>
LC: QA403.5.B75.
</li>
<li>
Eleanor Chu, Alan George,<br>
Inside the FFT Black Box,<br>
CRC Press,<br>
ISBN: 0849302706,<br>
LC: QA403.5C5.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "sine_transform.cpp">sine_transform.cpp</a>, the source code.
</li>
<li>
<a href = "sine_transform.hpp">sine_transform.hpp</a>, the source code.
</li>
<li>
<a href = "sine_transform.sh">sine_transform.sh</a>,
BASH commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "sine_transform_prb.cpp">sine_transform_prb.cpp</a>,
a sample calling program.
</li>
<li>
<a href = "sine_transform_prb.sh">sine_transform_prb.sh</a>,
BASH commands to compile and run the sample program.
</li>
<li>
<a href = "sine_transform_prb_output.txt">sine_transform_prb_output.txt</a>,
the output file.
</li>
<li>
<a href = "sine_transform_prb03.png">sine_transform_prb03.png</a>,
a PNG image comparing the function and interpolant.
</li>
<li>
<a href = "sine_transform_prb04.png">sine_transform_prb04.png</a>,
a PNG image comparing the function and interpolant.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>R8VEC_UNIFORM_01_NEW</b> returns a unit pseudorandom R8VEC.
</li>
<li>
<b>SINE_TRANSFORM_DATA</b> does a sine transform on a vector of data.
</li>
<li>
<b>SINE_TRANSFORM_FUNCTION</b> does a sine transform on functional data.
</li>
<li>
<b>SINE_TRANSFORM_INTERPOLANT</b> evaluates the sine transform interpolant.
</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 modified on 19 February 2012.
</i>
<!-- John Burkardt -->
</body>
</html>