A network of sensors and events/targets. In this case our sensors are a set of microphones that "hear" a set of sound events coming from a loudspeaker. By measuring the time of arrival of the sound event we can calculate the distance between microphones and the event. The self-calibration problem tries to find the 3D position of mics/events only from these distances.

The research on sensor networks attracts nowadays a lot of interests because it offers interesting problems which impact on real applications in the field. In particular, the figure on top shows an example of such problems that has still many open issues. The figure show a network of sensors and events/targets. In this case our sensors are a set of microphones that “hear” a set of sound events coming from a loudspeaker. By measuring the time of arrival of the sound event we can calculate the distance between microphones and the event. The self-calibration problem tries to find the 3D position of mics/events only from these distances. Here we propose a closed form solution to the problem:

  • M. Crocco, A. Del Bue, and V. Murino, "A Bilinear Approach to the Position Self-Calibration of Multiple Sensors," IEEE Transactions on Signal Processing, vol. 60, pp. 660-673, 2012.
    @Article{Crocco:etal:TSP2012,
      author = {M. Crocco and A. {Del Bue} and V. Murino},
      title = {A Bilinear Approach to the Position Self-Calibration of Multiple Sensors},
      journal = {IEEE Transactions on Signal Processing},
      year = {2012},
      volume = {60},
      issue = {2},
      pages={660--673},
      url = {http://ieeexplore.ieee.org/iel5/78/4359509/06072307.pdf?arnumber=6072307}
    }
  • M. Crocco, A. Del Bue, M. Bustreo, and V. Murino, "A Closed Form Solution to the Microphone Position Self-Calibration Problem," in 37th International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2012), Kyoto, Japan, 2012.
    @inproceedings{Crocco:etal:2012,
      author = {M. Crocco and A. {Del Bue} and M. Bustreo and V. Murino},
      title = {A Closed Form Solution to the Microphone Position Self-Calibration Problem},
      booktitle = {37th International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2012), Kyoto, Japan},
      year = {2012},
      month = {March}
    }

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