Hilbert spectral analysis

Hilbert spectral analysis is a signal analysis method applying the Hilbert transform to compute the instantaneous frequency of signals according to ω = d θ ( t ) d t . {\displaystyle \omega ={\frac {d\theta (t)}{dt}}.\,} After performing the Hilbert transform on each signal, we can express the data in the following form: X ( t ) = ∑ j = 1 n a j ( t ) exp ⁡ ( i ∫ ω j ( t ) d t ) .

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