Hyperbolic wavelet family
Khoa Nguyen Le, Kishor P. Dabke, Gregory K. Egan · Review of Scientific Instruments · 2004
This article reports early results on digital implementation of first- and nth-order hyperbolic wavelets whose important parameters are explicitly expressed and numerically estimated. The first-order hyperbolic, Morlet and Choi–Williams wavelets are compared in detail by numerically calculating their band-peak frequencies, minimum numbers of sampling points, scale resolutions, and maximum numbers of scales. One of the main aims is to show that there exists a strong link among time–frequency kernels and wavelets. This relationship helps to expand and link time–frequency and wavelet approaches to signal analysis. One example of using the hyperbolic wavelet for speech recognition is also given.