Instantaneous

Terminology for instantaneous phase of magnitude component of complex signal

Terminology for instantaneous phase of magnitude component of complex signal
  1. How do you find the instantaneous phase?
  2. What is Hilbert transform instantaneous phase?
  3. What is instantaneous signal?
  4. What is instantaneous amplitude?

How do you find the instantaneous phase?

The instantaneous phase ϕ(t) can be obtained by a simple integral: ϕ(t)=∫ϕ′(t)dt.

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 instantaneous signal?

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.

What is instantaneous amplitude?

peak amplitude (often shortened to simply ``amplitude''): the nonnegative value of the waveform's peak. instantaneous amplitude: the value of (either positive or negative) at any time .

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