The Analysis of Resolution of the Discrete Fractional Fourier Transform
ICICIC '06 Proceedings of the First International Conference on Innovative Computing, Information and Control - Volume 3
Discrete Fractional Fourier Transform Based on New Nearly Tridiagonal Commuting Matrices
IEEE Transactions on Signal Processing
Digital computation of the fractional Fourier transform
IEEE Transactions on Signal Processing
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As a generalization of classical Fourier Transformation (FT), the fractional Fourier transform (FrFT) outperforms many analysis techniques with its higher timefrequency 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.