Relation between Fourier phase and Analytic Signal Phase

1. How do you find the analytic signal?
2. What is FFT phase?
3. What is analytic signal in Matlab?
4. What is analytic envelope?

How do you find the analytic signal?

Discrete-time analytic signal

can be obtained by Discrete-Time Fourier Transform (DTFT). The real part of the analytic signal should be same as the original real-valued signal. . Periodic mirroring nature of the spectrum prevents one from suppressing the negative components.

What is FFT phase?

The output of the FFT is a complex vector containing information about the frequency content of the signal. The magnitude tells you the strength of the frequency components relative to other components. The phase tells you how all the frequency components align in time.

What is analytic signal in Matlab?

hilbert returns a complex helical sequence, sometimes called the analytic signal, from a real data sequence. The analytic signal x = x_r + jx_i has a real part, x_r, which is the original data, and an imaginary part, x_i, which contains the Hilbert transform.

What is analytic envelope?

Abstract—Analytic envelope is the most prevalent definition of envelopes of real-valued signals. However, analytic signals are not adopted by some envelope detectors in application. This paper investigates envelopes of real-valued signals from a signal processing perspective.