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I always thought of the Hilbert Transform and Z-HIT as the complex Laplace like substitute for Fourier and DFT analysis. Having never used them or SSB in partic
by kurthr 3y ago
I always thought of the Hilbert Transform and Z-HIT as the complex Laplace like substitute for Fourier and DFT analysis. Having never used them or SSB in particular, is that an fair analysis or am I missing something important?
- ipunchghosts 3y agoThe signal model for Laplace is x(t)*exp(alpha t) where as the signal model for HT is x(t) only. Another way to say it is that Laplace models the signal envelope as an exponential explicitly while decomposing the remaining signal into frequency components. In Fourier space, the exponential is "rolled into" the frequency components.