This volume explains how the recent advances in wavelet analysis provide new means for multiresolution analysis and describes its wide array of powerful tools. The book covers variations of the windowed Fourier transform, constructions of special waveforms suitable for specific tasks, the use of redundant representations in reconstruction and enhancement, applications of efficient numerical compression as a tool for fast numerical analysis, and approximation properties of various waveforms in different contexts.
... Volume II: Non-periodic Splines (Springer, 2015) M.J. Bastiaans, Gabor's expansion and the Zak transform for continuous-time and discrete-time signals, in Signal and Image Representation in Combined Spaces, Number 7 in Wavelet Anal.
[12] L. W. Baggett and J. A. Packer, C∗-algebras associated to two-step nilpotent groups, in “Selfadjoint and nonselfadjoint operator algebras and operator theory (Fort Worth, TX, 1990),” pp. 1–6, Contemp. Math. 120, Amer. Math.
Brignone M, Bozza G, Aramini R, Pastorino M, Piana M (2009) A fully no-sampling formulation of the linear sampling method for three- dimensional inverse electromagnetic scattering problems. Inverse Prob 25:015014 21.
“WeylHeisenberg systems and the finite Zak transform,” Signal and Image Representation in Combined Spaces, Y. Zeevi and R. Coiffman Ed., Academic Press. [8] T. Chen and P. P. Vaidyanathan (1993). “The role of integer matrices in ...
Considering the combined frequency-position (or frequency-time) space, the most widely used sets of functions are comprised of the singular (Dirac) functions ... Signal representation in the combined frequency-position space.
This volume provides a thorough and comprehensive treatment of irregular wavelet frames.
Frame signal processing applied to biolectric data, in Wavelets in Biology and Medicine, A. Aldroubi and M. Unser, editors, ... Noise reduction in terms of the theory of frames, in Signal and Image Representation in Combined Spaces, ...
An Introduction to Wavelets Through Linear Algebra. Springer, New York, NY. 8. O. Bratteli and P. Jorgensen. (2002). Wavelets through a Looking Glass. Birkhäuser, Boston, MA. 9. D.F. Walnut. (2002). An Introduction to Wavelet Analysis.
[ 17 ] Continuous wavelet transforms on a sphere , in Signal and Image Representation in Combined Spaces , J.Zeevi and R.Coifman ( Eds . ) , Academic Press , New York , 1995 . [ 18 ] On Calderón's reproducing formula , Ibid .
93–116. 3. J. Benedetto, Irregular sampling and frames, in: Wavelets: A Tutorial in Theory and Applications, C. K. Chui, ed., Academic Press, Boston, ... R. M. Young, An Introduction to Nonharmonic Fourier Series, Revised First Edition, ...