The Holo-Hilbert spectral analysis (HHSA) method is introduced to cure the deficiencies of traditional spectral analysis and to give a full informational representation of nonlinear and non-stationary data. It uses a nested empirical mode decomposition and Hilbert-Huang transform (HHT) approach to identify intrinsic amplitude and frequency modulations often present in nonlinear systems. Compari...

Empirical Mode Decomposition (EMD), introduced by Huang et al, in 1998 is a new and effective tool to analyze non-linear and non-stationary signals. With this method, a complicated and multiscale signal can be adaptively decomposed into a sum of finite number of zero mean oscillating components called as Intrinsic Mode Functions (IMF) whose instantaneous frequency computed by the analytic signa...

Hilbert Huang Transform is a new developed method for signal processing especially suitable for non-stationary signal processing. In this paper, we propose a two dimensional Hilbert-Huang Transform based on Bidimensional Empirical Mode Decomposition (BEMD) and quaternionic analytic signal. Bidimensional Empirical Mode Decomposition is adaptive signal decomposition method and its decomposition r...

Due to the increased integration of distributed generations in networks, their development and operation are facing protection challenges that traditional systems incapable addressing. These problems include variations fault current during various modes, diverse network topology, high impedance faults. Therefore, appropriate reasonable detection is highly encouraged improve dependability networ...

*Correspondence: [email protected] 2Department of Mathematics and Institute of Mathematical Research, Universiti Putra Malaysia (UPM), Serdang, Selangor 43400, Malaysia Full list of author information is available at the end of the article Abstract In this paper, we extend Hartley and Hartley-Hilbert transformations (HT and HHT, respectively) to a certain space of tempered distribution...

Epilepsy is a significant neurological disease that occurs due to abnormal activities of particular portion brain neurons. Electroencephalography (EEG) signals are mainly used detect this disease. can be diagnosed automatically by measuring and analyzing the non-linearity non-stationary properties EEG signals. In study, Hilbert Huang Transformation (HHT) proposed extract distinctive features fr...