This paper demonstrates the possibility to estimate the track irregularities of Shinkansen tracks using car-body motions only. In an inverse problem to estimate track irregularity from car-body motions, a Kalman Filter (KF) was applied to solve the inverse problem. Estimation results showed that track irregularity estimation in vertical direction is possible with acceptable accuracy for real use.
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Kobayashi et al. (2013) studied this question.