A model for quasi-periodic signals with application to rain estimation from microwave link gain

@article{Reller2011AMF,
  title={A model for quasi-periodic signals with application to rain estimation from microwave link gain},
  author={Christoph Reller and Hans-Andrea Loeliger and Juan Pablo Marin Diaz},
  journal={2011 19th European Signal Processing Conference},
  year={2011},
  pages={971-975}
}
It has been observed that rainfall may be estimated from the attenuation of microwave links. In this paper, we propose a new approach to this problem (for a single microwave link), which is based on a dynamical model of the attenuation without rain. This dry-air model combines local smoothing with quasi-periodicity over 24 hours. Rainfall causes large deviations of the attenuation from this dry-air model, and the rainfall can be estimated from these deviations.