A comparison of peak frequency-time plots produced with Hilbert and wavelet transforms
D. W. Guillaume · Review of Scientific Instruments · 2002
Practical techniques for producing both Hilbert and wavelet transform representations of peak frequency are given. Peak frequency-time plots of simple model signals are produced using both transforms and are presented and compared. This study shows that the peak frequency-time plots produced using the wavelet transform are superior to those produced using the Hilbert transform since the wavelet representation does not show large false frequency indications when the model time series undergoes a large abrupt frequency change. Further, when multiple dominant frequencies are present in the model time series, the wavelet based peak frequency-time plot more clearly identifies the higher of the dominant frequencies while the Hilbert based peak frequency-time plot is affected by the lower frequency and leads to less clear results.