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Method for determining the location of impacts by acoustic imaging

  • US 8,692,810 B2
  • Filed: 04/13/2005
  • Issued: 04/08/2014
  • Est. Priority Date: 04/13/2005
  • Status: Active Grant
First Claim
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1. A computer-implemented method that is tied to a particular tangible physical object that includes a surface having N acoustic sensors, where N is at least 3, and M determined areas, said computer-implemented method being for the determination of a location of an impact on said surface, said impact generating an acoustic signal, wherein each acoustic sensor receives said acoustic signal and transmits a sensed signal to a processing unit, said method comprising(a) computing P intercorrelation products Pij

  • )=Si



    S*j

    ), where Si

    ) is a Fourier transform of a sensed signal si(t) sensed by a sensor i of the N acoustic sensors;

    Sj(ω

    ) is a Fourier transform of a sensed signal sj(t) sensed by a sensor j of the N acoustic sensors; and



    *”

    is the complex conjugate operator, whereby the Fourier transform of the sensed signals is given respectively by Si

    )=Ci



    exp(−



    di

    E(ω

    ), and Sj

    )=Cj



    exp(−



    dj

    E(ω

    ), where Cj

    ) and Cj

    ) are respective frequency complex responses of the sensors i and j, x=ω

    /C with C being an acoustic propagation velocity, di and dj are respective distances between the impact location and the sensors i and j, and E(ω

    ) is the Fourier transform of the impact waveform such that Pij(ω

    )
    does not depend crucially on time origin and impact waveform;

    (b) calculating P inverse Fourier transforms p′

    ij(u) of said Pij

    );

    (c) computing, for each area k of the M determined areas, Pk(u)=Σ

    p′

    ij(u−

    τ

    ijk), where in a non-dispersive surface, u is a time and tijk is a stored predetermined delay value based on a difference between the respective locations of the area k and the sensors i and j, and in a dispersive surface, u is a distance and tijk is a length depending on a distance between the area k and the sensor i and the distance between the area k and the sensor j; and

    (d) calculating a characterizing value f(Pk(u)) of each Pk(u), and identifying, as the determined location of the impact, an area k0 corresponding to an area k having a greatest characterizing value such that the function Pk0(u) is closest to being an impulse.

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