Analytic signal
（重定向自Complex envelope）
![Transfer function to create an analytic signal](/Images/godic/202501/05/Analytisches-signal-uebertragungsfunktion-en.svg3938.png")
![A function in blue and the magnitude of its analytic representation in red, showing the envelope effect.](/Images/godic/202501/05/Analytic.svg3938.png")
In mathematics and signal processing, an analytic signal is a complex-valued function that has no negative frequency components. The real and imaginary parts of an analytic signal are real-valued functions related to each other by the Hilbert transform.