THE CONTINUOUS WAVELET TRANSFORM AND VARIABLE RESOLUTION TIME-FREQUENCY ANALYSIS

Wavelet transforms have recently emerged as a mathematical tool for mu ltiresolution decomposition of signals. They have potential applicatio ns in many areas of signal processing that require variable time-frequ ency localization. The continuous wavelet transform is presented here, and its frequency resolution is derived analytically and shown to dep end exclusively on one parameter that should be carefully selected in constructing a variable resolution time-frequency distribution for a g iven signal, Several, examples of application to synthetic and real da ta are shown.