“…However, in the conventional midpoint chord method, when the chord length used for measurement is 2k times the wavelength of the rail irregularity (where k = 0, 1, …), the amplitude gain response becomes zero. When such data are fed into the model recursively, errors gradually accumulate, causing the measurement results to deviate from the actual values and significantly affecting measurement accuracy (Wang, Xu, Zhou, Li, & Chen, 2012; Wang, Xu, Chen, Xiao, & Wang, 2015; Liu, 2016; Xu, Wang, Wang, & Xiao, 2016). These chord methods typically refer to single-point chord reference systems or simplified multi-point chord reference systems (Chen, Xu, Zhou, & Chen, 2011; Mao, Xu, & Zhou, 2013; Yin, Zhu, Wang, Wu, & Jin, 2017).…”