Abstract:
Abstract: In order to quickly and accurately extract the electrical parameters in the transient signal of the electric shock caused by organisms, an instantaneous amplitude and frequency extraction method based on local mean decomposition (LMD) for the total leakage current signal of biological electric shock was proposed. The de-noising total leakage current signal was decomposed into a linear combination of a finite set of product functions (PF) and the amplitude modulated (AM) signal, and frequency modulated (FM) signal of each PF also could be obtained. The amplitude modulated signal was utilized to calculate the instantaneous amplitude and damping, while the frequency modulated signal was used to determine the instantaneous frequency. By using the method, compared with the Hilbert-Huang Transformation (HHT), the curves of the instantaneous amplitude had less distortion in wave head and the instantaneous frequency had shorter swings. The method of HHT consisted of separation of the series data to components with different time scale (e.g. intrinsic mode function (IMF)), and empirical mode decomposition (EMD), and application of the Hilbert Transformation to obtain the instantaneous amplitude and frequency of the signal from the IMF. The results of simulation signal showed that LMD and EMD were carried out on the test signal which was three PF components and five IMF components, respectively. The energy change values of LMD and EMD before and after decomposition was 0.2851, 0.5633, and the decomposition time of LMD was shorter than the EMD. Moreover, the instantaneous amplitude frequency based on the calculation of HT and integrated algorithm of PF appear the phenomenon of flying wings, but compared with the Hilbert transform, the proposed method to calculate the result was more smooth which can restrain endpoint effect to a certain extent and extract the instantaneous amplitude and frequency better. Experimental signal analysis results showed that LMD and EMD were carried out on the de-noising total leakage current signal which received five PF components and six IMF components, respectively, and the energy change values of LMD and EMD before and after decomposition were 0.5574, 0.8896, and the use of decomposition time were 0.0835s, 0.2479s, respectively. In calculating the instantaneous frequency aspects, the moment of electric shock can be determined by the LMD, while the instantaneous frequency was calculated by using the Hilbert transform not only unable to determine the electric shock time, but also the negative frequency values appeared, which had no physical meaning. In calculating the instantaneous amplitude aspects, the average instantaneous amplitude of the total leakage current signal before the electric shock was 11.3240 mA, compared with the real amplitude, the absolute error was 0.0298 mA, while the error was obtained by using Hilbert transform was 1.0190 mA. In addition, the absolute errors between the average instantaneous amplitude of total leakage current signal after electric shock was computed by LMD and Hilbert Transform methods and real amplitude were 0.4340 mA, 0.6643 mA, respectively. Therefore, it can be seen that the simulation and experimental results prove the feasibility and effectiveness of the proposed method.