KEYWORDS: Time-frequency analysis, Optical engineering, Interference (communication), Signal detection, Fourier transforms, 3D displays, Diamond, Signal to noise ratio, Signal processing
A survey of known wavelet groups is listed and properties of the symmetrical first-order hyperbolic wavelet function are studied. This new wavelet is the negative second derivative function of the hyperbolic kernel function, [sech((beta) (theta) )]n where n equals 1, 3, 5,... and n equals 1 corresponds to the first-order hyperbolic kernel, which was recently proposed by the authors as a useful kernel for studying time-frequency power spectrum. Members of the 'crude' wavelet group, which includes the hyperbolic, Mexican hat (Choi-Williams) and Morlet wavelets, are compared in terms of band-peak frequency, aliasing effects, scale limit, scale resolution and the total number of computed scales. The hyperbolic wavelet appears to have the finest scale resolution for well-chosen values of (beta)
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.