Hilbert transform

The Hilbert Transform is a mathematical operation that takes a signal and creates a new signal that helps analyze its properties, particularly in terms of phase and amplitude. It effectively shifts the signal by 90 degrees, enabling the study of instantaneous frequency and envelope of the wave. This is particularly useful in fields such as engineering, physics, and communications, where understanding the nuances of signals is crucial. The result allows for enhanced interpretation of complex data, especially in applications like audio processing and image analysis.