Conversely, as the frequency increases, the width of the CWT coefficients that are nonzero decreases and becomes increasingly centered on the impulse. Note that as the frequency decreases, the width of the CWT coefficients in time that are nonzero and centered on the impulse increases. Spencer, Efficient Circuit Implementation of Morlet Wavelets, Journal of Applied Research and Technology, Vol.1no1 April 2005.The solid black line shows the location of the impulse in time. Postnikov, Time-Frequency Analysis of Non-Stationary Signals Using the Continuous Wavelet Transform Based on the Solving of PDE, XVIII Session of the Russian Acoustical Society, 2006 Haase M.A, Family of Complex Wavelets for the Characterization of Singularities//Paradigms of Complexity, Ed.M.M Novak.World Scientific, 2000, P.287-288.Lomonosov, Wavelet Transform and Diffusion Equations: Applications to the Processing of the “CASSINI” Space Craft Observations, 2008 Jorgensen, Iterated Function Systems, Ruelle Operators, and Invariant Projective Measures, March 2008 Steger, Incompleteness of Sparse Coherent States. A.J.E.M Janssen, Zak Transforms with Few Zeros and the Tie, in ‘Advances in Gabor Analysis’(H.G Feichtinger, T.trohmer, eds.), Boston, 2003, ppp.31-70.
Strohmer, Hyperbolic Secants Yield Gabor Frames.
Timothy Herron and John Byrnes, Families of Orthogonal Differential Operators for Signal Processing, 2001.R99942036, Term Paper, A Tutorial of the Mother Wavelet Transform,.Wavelets and Dilatation Equations: A Brief Introduction. Wells, R.O, Parametrizing Smooth Compactly Supported Wavelet Transform, American Mathematical Society, 338(2): 9019-931, 1993.Z.Ali, Application of Wavelet Transform and Its Advantages Compared to Fourier Transform, Journal of Physical Sciences, Vol.13, 2009, 121-134
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