This paper analyzes generalized Hilbert transform from the mathematics definition at first,and then discusses the basic principle of generalized Hilbert transform as well as the difference between generalized Hilbert transform and Hilbert transform in noised-signal.

Medical Image Retrieval Based on Hilbert-Huang Transform;

Hilbert-Huang transform spectrum and its application in seismic signal analysis;

Time-frequency spectral analysis of seismic data based on Hilbert-Huang transform

The monitoring signal of the motor power collected with MATLAB was processed through Hilbert transformation, so that an enveloping curve motor power signal (modulated signal) was obtained.

Clear tracing curves of how the frequency and the phase vary with time are illustrated using the recorded data from practical experiments and processed with Hilbert transformation.

This paper describes the fundamental principles of Hilbert transformation.

Study on the Technique of Brillouin Scattering Distributed Optical Fiber Sensing Based on Hilbert transform;

Analysis of Analog Modulation Based On Convolution Theorem and Hilbert Transform;

A kind of calibration algorithm of phase-shifting based on Hilbert transform;

The proposed HVD method was based on the Hilbert transform(HT),just as Hilbert-Huang transform(HHT),but did not involve complicated empirical mode decomposition(EMD).

The Hilbert-Huang transform(HHT) is a new method of time-frequency spectrum treatment that calls for the decomposition of time sequenced data by empirical modes(EMD) which is followed by a Hilbert transform (HT).

The Hilbert-Huang Transformation (HHT) consists of the following steps: First, decomposition of time sequenced data by empirical modes (EMD) followed by a Hilbert transformation to obtain a new method of spectrum treatment.

To deal with the problem of ineffective extraction in underwater target feature extraction methods based on traditional time-frequency analysis,a new time-frequency analysis method,the Hilbert-Huang Transform(HHT) was applied.