Manual pages | Cast3M

$$$$ ONDE     NOTICE  CHAT      11/09/12    21:17:27     7124           
                                             DATE     11/09/12

    Operateur ONDE                           Voir aussi : TFR
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| 1st possibility : continuous wavelet transform  |
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    Description :
    ____________

    The ONDE operator constructs continuous wavelet transform
for a signal.

    Contents :
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    N1     : for fast Fourier transform, a number of points 
             equalling 2**N1 (ENTIER type) is used
             (if the processed signal is longer, it will be
             truncated, if it is shorter, some 0. will be added)

    EVOL2  : object containing the signal to be studied (EVOLUTION
             type); the step of the abscissae must be constant, the
             values of the signal being the ordinates. The object
             must be composed of a single curve
            
    MOT1   : word referring to the type of complex values

             'REIM' for real part and imaginary part/Frequency
             'MOPH' for modulus and phase/Frequency

   'FMIN'   : key word followed by :
    FLOT1   : minimum frequency displayed ; it will be greater than 0.
              (FLOTTANT type)

   'FMAX'   : key word followed by :
    FLOT2   : maximum frequency displayed ; it will be smaller than
              1/(2*DT), DT being the time step of the input signal
              (FLOTTANT type)

   'NFRQ'   : key word followed by :
    FLOT3   : number of frequency step between FLOT1 and FLOT2

   'PULS'   : key word followed by :
    FLOT4   : pulsation of the initial Morlet wavelet 

    CHP1   : wavelet transform with two components :
              MODU and PHAS for MOPH option , PREE and 
              PIMA for REIM option.
              (CHPOINT type)

    MAIL1   : mesh associated to CHP1 ( unit square ) : X-axis
              corresponds to time, and Y-axis to frequency.

  CHP1 MAIL1 = ONDE  N1 EVOL2 MOT1 'FMIN' FLOT1 'FMAX' FLOT2
                       ('DFRQ' ENTI1)  ('PULS' FLOT4)  ;


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| 2nd possibility : ridge extraction  |
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    MOT1   : word referring to the type of extraction

             'CRMO' : modulus criterion
             'CRPH' : phase criterion

   'EPSI'   : key word followed by :
    FLOT5   :  only used with 'CRPH' : nullity criterion 
              (FLOTTANT type, default value  1.E-4 )

    COUL1   : chosen color for the curves (MOT type)
              (white by default)

    EVOL1   : object containing the ridge, in the form of two
 curves :instantaneous frequency and modulus ( in the order ).
              (EVOLUTION type)


  EVOL1 = ONDE  N1 EVOL2 MOT1 'FMIN' FLOT1 'FMAX' FLOT2
        ('DFRQ' ENTI1)  ('EPSI' FLOT5) ('PULS' FLOT4) (COUL1)  ;