Time-Frequency Representation for Non-Stationary Wireless Channel Using Adaptive Fourier Decomposition

Performance analysis for time-domain impulse response of non-stationary Clarke wireless channel model is crucial. In this paper, we introduce a time-frequency representation method and reconstruction representation of channel function for non-stationary wireless channel based on adaptive Fourier decomposition (AFD). The single component decomposition representation, the time-frequency distribution and the energy spectrum density are given based on the adaptive Fourier decomposition. According to the principle of minimum energy error, the reconstruction method of channel function is given. Simulation was carried out in high speed and fast time-varying environment. The results show that the proposed presentation algorithm of the non-stationary wireless channel can overcome the shortcomings of the related methods such as short time Fourier transform (STFT) and wavelet transform (WT). It can also represent the time-frequency representation and reduce the reconstruction error of the wireless channel accurately.