Multiscale codes in the nervous system: the problem of noise correlations and the ambiguity of periodic scales.

@article{Mathis2013MultiscaleCI,
  title={Multiscale codes in the nervous system: the problem of noise correlations and the ambiguity of periodic scales.},
  author={Alexander Mathis and Andreas V. M. Herz and Martin B. Stemmler},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2013},
  volume={88 2},
  pages={022713}
}
Encoding information about continuous variables using noisy computational units is a challenge; nonetheless, asymptotic theory shows that combining multiple periodic scales for coding can be highly precise despite the corrupting influence of noise [Mathis, Herz, and Stemmler, Phys. Rev. Lett. 109, 018103 (2012)]. Indeed, the cortex seems to use periodic, multiscale grid codes to represent position accurately. Here we show how such codes can be read out without taking the long-term limit; even… CONTINUE READING