Local Spectral Characteristics of Wavelet Transform
LI Zhi-shun · Audio Engineering · 2004
Wavelt transform enjoys multi-resolution property that endears it to the signal processing community. However, the result obtained lacks intuitive physical meaning. This paper unveils the reason why the results (referred to as R-scalogram) produced by real wavelet transform of a real signal is not intuitive. Then it points out that the scalogram (referred to as C-scalogram) provided by analytic one has intuitive physical meaning. It characterizes the local spectrum of signal under analysis. Finally, comparison between the C-scalograms and R-scalograms of several typical signals is performed. It shows that C-scalogram is also more appropriate for detection and localization of transient phenomena than R-scalogram.