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    Human Time-Frequency Acuity Beats the Fourier Uncertainty Principle

    Jacob N. Oppenheim and Marcelo O. Magnasco*

    • Laboratory of Mathematical Physics, Rockefeller University, New York, New York 10065, USA

    • *magnasco@rockefeller.edu

    Phys. Rev. Lett. 110, 044301 – Published 23 January, 2013

    DOI: https://doi.org/10.1103/PhysRevLett.110.044301

    Abstract

    The time-frequency uncertainty principle states that the product of the temporal and frequency extents of a signal cannot be smaller than 1/(4π). We study human ability to simultaneously judge the frequency and the timing of a sound. Our subjects often exceeded the uncertainty limit, sometimes by more than tenfold, mostly through remarkable timing acuity. Our results establish a lower bound for the nonlinearity and complexity of the algorithms employed by our brains in parsing transient sounds, rule out simple “linear filter” models of early auditory processing, and highlight timing acuity as a central feature in auditory object processing.

    Comments & Replies

    Comment on “Human Time-Frequency Acuity Beats the Fourier Uncertainty Principle”

    G. S. Thekkadath and Michael Spanner
    Phys. Rev. Lett. 114, 069401 (2015)

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