Why there are spikes in instantaneous frequency vs time plot of an analytic signal?

1. Why is instantaneous frequency important?
2. How are instantaneous phase and frequency related?
3. What is the concept of instantaneous frequency?

Why is instantaneous frequency important?

The instantaneous frequency (IF) of a signal is a parame- ter which is often of significant practical importance. In many situations such as seismic, radar, sonar, communications, and biomedical applications, the IF is a good descriptor of some physical phenomenon.

How are instantaneous phase and frequency related?

1 Instantaneous magnitude and phase. holds for a sinusoidal function. The angular frequency ω or for the frequency creates the sensation of pitch by hearing the sound of the wave. The pitch goes higher as the frequency increases; the sensation of pitch is in proportion to the frequency on the logarithmic scale.

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.