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《Journal of Vibration and Shock》 2007-01
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APPROXIMATE COMPUTATION OF BILINEAR TIME-FREQUENCY TRANSFORMATION WITH APPLICATION

Fan Yongsheng,Zheng Gangtie(School of Astronautics,Beijing University of Aeronautics and Astronautics,Beijing 100083)  
Bilinear time-frequency transformation has become an important processing tool for non-stationary signal.But large amount of computation and occupying big memory make it hard to real-timely implement.According to the principle of kernel function spectral decomposition,the authors express the discrete real kernel as a symmetric matrix,and indicate the discrete bilinear time-frequency transformation as a weighted sum of discrete spectrograms with eigen-decomposition of symmetric matrices.Then the bilinear transform can be fast cornputed approximately with the partial sum of spectrograms.The numerical simulation and signal processing of gearbox early fault vibration show that the algorithm has a smaller memory cost and a faster speed than traditional ones.
【CateGory Index】: TN911
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