# Deconvolving seismic signals with a SPICE model of the seismometer

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## Abstract

Every transducer needs some deconvolution operation to return the original signal. In the seismometer’s case, this is usually done by using the pole-zero instrument models. This method assumes that the seismometer can be described by a linear model that can be schematized by a ratio of polynomials of the Laplace variable *s*. This paper shows a deconvolution method that uses the mechanic-electric model of a transducer. Such a model can also give a better description of a transducer since it can also take into account nonlinear behavior which cannot be included in pole-zero models. Examples of deconvolution of both linear and nonlinear transfer functions are shown, and some considerations about friction damping and the electromechanical analogies used to perform the simulations are included in the appendix.

## Keywords

Seismometer pSPICE model Deconvolution Coulomb damping## Notes

### Acknowledgments

I thank Graziano Ferrari for the interest demonstrated in the deconvolution method and for the access to the SISMOS archive. I thank also my colleague Stephen Monna for reading the manuscript and for giving some precious suggestions.

## References

- Cadence Design Systems, Inc. (2005) PSpice® A/D User’s Guide, 2005Google Scholar
- Geotech instruments LLC. PORTABLE SHORT-PERIOD SEISMOMETER MODEL S-13—Operation and maintenance manual (2000). http://www.geoinstr.com/pub/manuals/s-13.pdf. Accessed 13 April 2011
- Horowitz P, Hill W (2006) The art of electronics. Cambridge University PressGoogle Scholar
- Romeo G (2012) Whale watching: effects of strong signals on Lippmann style seismometers. J Seismol 16:25–34Google Scholar
- Romeo G, abd Braun (2007) Appunti di sismometria. Quaderni di Geofisica 46. http://portale.ingv.it/portale_ingv/produzione-scientifica/quaderni-di-geofisica/archivio/quaderni-di-geofisica-2007. Accessed 13 April 2011
- Wielandt E (2000) Seismometry. https://geoazur.oca.eu/IMG/pdf/Seismometry-Cours-WIELANDT.pdf