Analytical signal

An analytical signal is a mathematical construct used in signal processing to represent a real-world signal in a way that captures both its amplitude and phase information. It is created by combining the original real signal with its own Hilbert transform, resulting in a complex signal. This complex representation makes it easier to analyze features like frequency content and instantaneous attributes of the signal. Simply put, the analytical signal provides a more complete picture of how the original signal behaves over time, enabling advanced analysis in fields like communications, radar, and biomedical engineering.