Transfer Function Estimation in System Identification Toolbox via Vector Fitting

@article{Ozdemir2020TransferFE,
  title={Transfer Function Estimation in System Identification Toolbox via Vector Fitting},
  author={Ahmet Arda Ozdemir and S. Gumussoy},
  journal={ArXiv},
  year={2020},
  volume={abs/2003.06289}
}
Abstract This paper considers black- and grey-box continuous-time transfer function estimation from frequency response measurements. The first contribution is a bilinear mapping of the original problem from the imaginary axis onto the unit disk. This improves the numerics of the underlying Sanathanan-Koerner iterations and the more recent instrumental-variable iterations. Orthonormal rational basis functions on the unit disk are utilized. Each iteration step necessitates a minimal state-space… Expand
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