References¶

Primary References¶

The algorithms implemented in this package are based on:

Complex Exponential Algorithm (CEA):

Fahey, S. O’F., & Pratt, J. (1998). Time domain modal estimation techniques. Experimental Techniques, 22(6), 45-49.

Eigensystem Realization Algorithm (ERA):

Juang, J.-N., & Pappa, R. S. (1985). An eigensystem realization algorithm for modal parameter identification and model reduction. Journal of Guidance, Control, and Dynamics, 8(5), 620-627.

BibTeX Entries¶

@article{fahey1998time,
  title={Time domain modal estimation techniques},
  author={Fahey, S O'F and Pratt, J},
  journal={Experimental techniques},
  volume={22},
  number={6},
  pages={45--49},
  year={1998},
  publisher={Springer}
}

@article{juang1985eigensystem,
  title={An eigensystem realization algorithm for modal parameter identification and model reduction},
  author={Juang, Jer-Nan and Pappa, Richard S},
  journal={Journal of guidance, control, and dynamics},
  volume={8},
  number={5},
  pages={620--627},
  year={1985}
}

Additional Reading¶

Time Domain Methods¶

Ibrahim, S. R., & Mikulcik, E. C. (1977). A method for the direct identification of vibration parameters from the free response. The shock and vibration bulletin, 47(4), 183-198.

Frequency Domain Methods¶

Vold, H., Kundrat, J., Rocklin, G. T., & Russell, R. (1982). A multi-input modal estimation algorithm for mini-computers. SAE Transactions, 815-821.

Online Resources¶

Citing This Software¶

If you use this package in your research, please cite both the software and the original papers:

Software:

Dale, A. S. (2026). Time Domain Modal Estimation (Version 0.1.0) [Software]. Available from https://github.com/daleas0120/time_domain_modal_estimation

Algorithms:

For Complex Exponential Algorithm (CEA):