Analysis of Track Long-Wave Irregularity with Fractional Fourier Transform

As a generalization of classical Fourier Transformation (FT), the fractional Fourier transform (FrFT) outperforms many analysis techniques with its higher time-frequency resolution, but it is quite new to be employed into the track irregularity signal processing. In this paper, we simulate the data of the high-speed train's track, according to the data from the real test of the high-speed train on the railway. The FrFT has been investigated for the analysis of track long-wave irregularity, and some other typical methods are also used to analyze the data to estimate the track irregularity signal, including Fourier transform (FT) and short time Fourier transform (STFT). The results show that FrFT is more effective to detect track long-wave irregularity signal than traditional methods.