Extraction of Signal Instantaneous Phase and Instantaneous Frequency in MATLAB

In MATLAB, we can develop specialized code to extract the instantaneous phase and instantaneous frequency of signals. These implementations are highly valuable for learning as they demonstrate practical signal processing techniques. The typical approach involves using the Hilbert transform to obtain the analytic signal, from which the instantaneous phase can be calculated as the angle of the complex analytic signal. The instantaneous frequency is then derived as the time derivative of the instantaneous phase. Key MATLAB functions used in this process include hilbert() for generating the analytic signal, angle() for phase extraction, and diff() or gradient() for frequency calculation. By mastering these code implementations, engineers can gain deeper insights into signal characteristics and apply these techniques to various real-world problems such as communication systems analysis, vibration monitoring, and biomedical signal processing. Therefore, learning how to extract instantaneous phase and frequency parameters is highly beneficial for signal processing applications.