关键词: 超宽带, 信号检测, 希尔伯特-黄变换, 时序残差, 非等间隔的灰色模型

Abstract: Based on end effects of Empirical Mode Decomposition（EMD） of Hilbert-Huang Transform（HHT） in detecting Ultra-Wideband（UWB） signal, the method of  Non-equidistance Grey Model（NGM） mitigating end effects of EMD by predicting uncertain data is analyzed. In order to solve the problem that some extreme can hardly be detected in particular situation, modified NGM（1，1） model using Fourier series（TFNGM（1，1）） at time domain to mitigate end effects of EMD is proposed. Proposed method with HHT is testified by theoretical derivation, and is used to detect UWB signal. Simulation results show the proposed method can accurately reconstruct UWB-IR signal with noise and interference, obviously improves the accuracy of UWB detection. Comparison with discrete wavelet transform demonstrates the proposed method is suitable to detect UWB signal.

Key words: ultra-wideband, signal detection, Hilbert-Huang Transform（HHT）, time series error, non-equidistance grey model