References


(1)
R. Crandall, Projects in Scientific Computation, Springer-Verlag, New York, 1994, pp. 197-198, 211-212.

(2)
Y. Meyer, Wavelets: Algorithms and Applications, Society for Industrial and Applied Mathematics, Philadelphia, 1993, pp. 13-31, 101-105.

(3)
G. Kaiser, A Friendly Guide to Wavelets, Birkhauser, Boston, 1994, pp. 44-45.

(4)
W. Press et al., Numerical Recipes in Fortran, Cambridge University Press, New York, 1992, pp. 498-499, 584-602.

(5)
M. Vetterli and C. Herley, "Wavelets and Filter Banks: Theory and Design," IEEE Transactions on Signal Processing, Vol. 40, 1992, pp. 2207-2232.

(6)
I. Daubechies, "Orthonormal Bases of Compactly Supported Wavelets," Comm. Pure Appl. Math., Vol 41, 1988, pp. 906-966.

(7)
V. Wickerhauser, Adapted Wavelet Analysis from Theory to Software, AK Peters, Boston, 1994, pp. 213-214, 237, 273-274, 387.

(8)
M.A. Cody, "The Wavelet Packet Transform," Dr. Dobb's Journal, Vol 19, Apr. 1994, pp. 44-46, 50-54.

(9)
J. Bradley, C. Brislawn, and T. Hopper, "The FBI Wavelet/Scalar Quantization Standard for Gray-scale Fingerprint Image Compression," Tech. Report LA-UR-93-1659, Los Alamos Nat'l Lab, Los Alamos, N.M. 1993.

(10)
D. Donoho, "Nonlinear Wavelet Methods for Recovery of Signals, Densities, and Spectra from Indirect and Noisy Data," Different Perspectives on Wavelets, Proceeding of Symposia in Applied Mathematics, Vol 47, I. Daubechies ed. Amer. Math. Soc., Providence, R.I., 1993, pp. 173-205.

(11)
B. Vidakovic and P. Muller, "Wavelets for Kids," 1994, unpublished. Part One, and Part Two.

(12)
J. Scargle et al., "The Quasi-Periodic Oscillations and Very Low Frequency Noise of Scorpius X-1 as Transient Chaos: A Dripping Handrail?," Astrophysical Journal, Vol. 411, 1993, L91-L94.

(13)
M.V. Wickerhauser, "Acoustic Signal Compression with Wave Packets," 1989. Available by TeXing this TeX Paper.


Some Wavelet Resources

The amount of wavelets-related material is multiplying. Many papers and software sources are on Internet.

About the Author

(updated January 2003) Amara Graps is an astronomer and consultant working on infrared space physics, interplanetary dust dynamics, popular science writing, and numerical analysis projects for companies as well as for hospitals, government laboratories, and universities. Her work experience, primarily in astronomy, astrophysics, and planetary science research, was gained from her current research at IFSI, her previous research at the Max-Planck-Institut für Kernphysik [MPI-K], Heidelberg, Germany, and jobs at Stanford University, NASA-Ames, the University of Colorado, and the Jet Propulsion Laboratory. She earned her B.S. in Physics in 1984 from the University of California, Irvine, her M.S. in Physics (w/computational physics option) in 1991 from San Jose State University, and her PhD in physics from the University of Heidelberg and MPI-K.

Graps can be reached at Istituto di Fisica dello Spazio Interplanetario, CNR-ARTOV, Via del Fosso del Cavaliere, 100, I-00133 Roma, Italia; or by email or World Wide Web.


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