MORSEMOM is the jWavelet module of jLab.

 MORSEMOM  Frequency-domain moments of generalized Morse wavelets.
 
    MORSEMOM is a low-level function called by several other Morse wavelet
    functions.
   
    [MP,NP]=MORSEMOM(P,GAMMA,BETA) computes the Pth order frequency-
    domain moment M and energy moment N of the lower-order generalized 
    Morse wavelet specified by parameters GAMMA and BETA.
 
    The Pth moment and energy moment are defined as
 
            mp = 1/(2 pi) int omega^p  psi(omega)     d omega 
            np = 1/(2 pi) int omega^p |psi(omega)|.^2 d omega 
 
    respectively, where omega is the radian frequency.  These are evaluated
    using the 'bandpass' normalization, which has max(abs(psi(omega)))=2.
 
    The input parameters must either be matrices of the same size, or
    some may be matrices and the others scalars.   
 
    [MP,NP,KP,LP]=MORSEMOM(...) also returns the Pth order cumulant KP and
    the Pth order energy cumulant LP.
 
    Note that for very large BETA, the standard form of the moments fail
    for numerical reasons, and one must use asymptotic forms.  These are
    used by default when the argument to the gamma function exceeds 100 
    and when then standard expressions yield non-finite or zero values. 
 
    For details see
 
        Lilly and Olhede (2009).  Higher-order properties of analytic 
            wavelets.  IEEE Trans. Sig. Proc., 57 (1), 146--160.
 
    See also MORSEWAVE, MORSEDERIV, MOM2CUM.
 
    'morsemom --t' runs some tests.
 
    Usage:  mp=morsemom(p,ga,be);
            [mp,np]=morsemom(p,ga,be);
            [mp,np,kp,lp]=morsemom(p,ga,be);
    __________________________________________________________________
    This is part of JLAB --- type 'help jlab' for more information
    (C) 2007--2021 J.M. Lilly --- type 'help jlab_license' for details

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