ELLPOL is the jEllipse module of jLab.

 ELLPOL  Polarization parameters of an elliptical signal.
    THETA, and PHI are the time-varying parameters of an elliptical signal,
    returns the time-averaged polarization parameters P, ALPHA, and BETA.
    P, ALPHA, and BETA are properties of the frequency-integrated spectral
    matrix associated with the elliptical signal.  P is related to the 
    eigenvalues D1 and D2 of that matrix by (D1-D2)(D1+D2).
    P gives the total polarization, ALPHA is the excess of positive 
    to negative rotational energy, and BETA is the polarization of the real
    part of the spectral matrix associated with linear motions.
    These three quantities are related by P^2=ALPHA^2+BETA^2.
    The input fields may be arrays of any dimension.  The averaging is
    performed along rows, and the result is then squeezed.  If the 
    input fields are column arrays, the output fields are scalars.
    If the input fields are cell arrays of column vectors, the output
    will be column vectors with one entry per cell of the input arrays.
    [P,ALPHA,BETA,KBAR,RBAR]=ELLPOL(...) also returns the average RMS axis
    length KBAR and average geometric mean radius RBAR, given in terms of
    the eigenvalues as DBAR=SQRT(D1^2/2+D2^2/2) and RBAR=SQRT(D1*D2).
    See also POLPARAMS.
    'ellpol --t' runs some tests.
    Usage: [P,alpha,beta]=ellpol(kappa,lambda,theta,phi);
    This is part of JLAB --- type 'help jlab' for more information
    (C) 2018 J.M. Lilly --- type 'help jlab_license' for details

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