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Previous: <a href="DWT-Examples.html#DWT-Examples" accesskey="p" rel="previous">DWT Examples</a>, Up: <a href="Wavelet-Transforms.html#Wavelet-Transforms" accesskey="u" rel="up">Wavelet Transforms</a> [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="References-and-Further-Reading-24"></a>
<h3 class="section">31.5 References and Further Reading</h3>
<p>The mathematical background to wavelet transforms is covered in the
original lectures by Daubechies,
</p>
<ul class="no-bullet">
<li><!-- /@w --> Ingrid Daubechies.
Ten Lectures on Wavelets.
<cite>CBMS-NSF Regional Conference Series in Applied Mathematics</cite> (1992),
SIAM, ISBN 0898712742.
</li></ul>
<p>An easy to read introduction to the subject with an emphasis on the
application of the wavelet transform in various branches of science is,
</p>
<ul class="no-bullet">
<li><!-- /@w --> Paul S. Addison. <cite>The Illustrated Wavelet Transform Handbook</cite>.
Institute of Physics Publishing (2002), ISBN 0750306920.
</li></ul>
<p>For extensive coverage of signal analysis by wavelets, wavelet packets
and local cosine bases see,
</p>
<ul class="no-bullet">
<li><!-- /@w --> S. G. Mallat. <cite>A wavelet tour of signal processing</cite> (Second
edition). Academic Press (1999), ISBN 012466606X.
</li></ul>
<p>The concept of multiresolution analysis underlying the wavelet transform
is described in,
</p>
<ul class="no-bullet">
<li><!-- /@w --> S. G. Mallat.
Multiresolution Approximations and Wavelet Orthonormal Bases of L<em>^2</em>(R).
<cite>Transactions of the American Mathematical Society</cite>, 315(1), 1989, 69–87.
</li></ul>
<ul class="no-bullet">
<li><!-- /@w --> S. G. Mallat.
A Theory for Multiresolution Signal Decomposition—The Wavelet Representation.
<cite>IEEE Transactions on Pattern Analysis and Machine Intelligence</cite>, 11, 1989,
674–693.
</li></ul>
<p>The coefficients for the individual wavelet families implemented by the
library can be found in the following papers,
</p>
<ul class="no-bullet">
<li><!-- /@w --> I. Daubechies.
Orthonormal Bases of Compactly Supported Wavelets.
<cite>Communications on Pure and Applied Mathematics</cite>, 41 (1988) 909–996.
</li></ul>
<ul class="no-bullet">
<li><!-- /@w --> A. Cohen, I. Daubechies, and J.-C. Feauveau.
Biorthogonal Bases of Compactly Supported Wavelets.
<cite>Communications on Pure and Applied Mathematics</cite>, 45 (1992)
485–560.
</li></ul>
<p>The PhysioNet archive of physiological datasets can be found online at
<a href="http://www.physionet.org/">http://www.physionet.org/</a> and is described in the following
paper,
</p>
<ul class="no-bullet">
<li><!-- /@w --> Goldberger et al.
PhysioBank, PhysioToolkit, and PhysioNet: Components
of a New Research Resource for Complex Physiologic
Signals.
<cite>Circulation</cite> 101(23):e215-e220 2000.
</li></ul>
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