Study on end effects of EMD with HHT for UWB signal detection

Based on end effects of empirical mode decomposition (EMD) of Hilbert-Huang Transform (HHT) in detecting ultra-wideband (UWB) signal, the non-equidistance grey model (NGM) is analyzed to mitigate end effects of EMD by predicting uncertainly data. Since some extreme points can hardly be detected in particular situation, the modified NGM(1,1)model using Fourier series (TFNGM(1,1)) at time domain is proposed. Furthermore, the new criterion to terminate the iteration process in EMD is also proposed and analyzed in this paper, which can effectively improve the signal to noise ratio of reconstructive signal. The theoretical deduction and computer simulation of this new method are made, which show that the proposed method can reconstruct UWB-IR signal accurately in bad signal situations.