Estimation of Instantaneous Amplitude

1. What is Hilbert transform instantaneous phase?
2. What is the concept of instantaneous frequency?

What is Hilbert transform instantaneous phase?

The Hilbert transform estimates the instantaneous frequency of a signal for monocomponent signals only. A monocomponent signal is described in the time-frequency plane by a single "ridge." The set of monocomponent signals includes single sinusoids and signals like chirps.

What is the concept of instantaneous frequency?

Instantaneous frequency is defined as the sinusoid frequency in a short window that fits the seismic trace around the corresponding time. From: Sustainable Geoscience for Natural Gas Subsurface Systems, 2022.