## 4 Conclusions
The waveform of the time histories, the response spectra, and the amplitude spectra in the broadband frequency range simulated by the improved stochastic Green's function method are in good agreement with those of the observed records, indicating that the improved method can simulate the near-fault broadband ground motion more accurately. Conceptualization, L.J. and X.X. ; formal analysis, L.J. and X.P. ; methodology, L.J. ; resources, X.X. ; software, X.X. ; supervision, X.X. ; validation, L.J. and X.P. ; writing--original draft, L.J. ; writing--review and editing, X.X. and X.P. All authors have read and agreed to the published version of the manuscript. This research was funded by National Natural Science Foundation of China grant number 52178174. Not applicable. The data presented in this study are openly available in Zenodo at [[https://doi.org/10.5281/zenodo.13234766](https://doi.org/10.5281/zenodo.13234766)]([https://doi.org/10.5281/zenodo.13234766](https://doi.org/10.5281/zenodo.13234766)) (accessed on 18 October 2024). Data for this study are provided by the Institute of Engineering Mechanics, China Earthquake Administration. The seismic records of the 1994 Northridge earthquake were downloaded from the Pacific Earthquake Engineering Research Center ([[https://peer.berkeley.edu/peer-strong-ground-motion-databases](https://peer.berkeley.edu/peer-strong-ground-motion-databases)]([https://peer.berkeley.edu/peer-strong-ground-motion-databases](https://peer.berkeley.edu/peer-strong-ground-motion-databases)), last accessed on 1 December 2020). The authors declare no competing interests. * [PERSON] (2018) [PERSON] _Simulation of Strong Ground Motions Using the Stochastic Summation of Small to Moderate Earthquakes as Green's Functions_; The University of Memphis: Memphis: Memphis, TN, USA, 2018. * [PERSON] (1983) [PERSON] Stochastic simulation of high-frequency ground motions based on seismological models of the radiated spectra. _Bull. Seismol. Soc. Am._**1983**, _73_, 1865-1894. [CrossRef]
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