A recognition formalism is presented for searching for and identifying
the modes in a magnetohydrodynamic wave field. The method provides th
e contributions of the wave energy in the different modes for one prop
agation direction. Forward and backward running waves are also disting
uished. The method developed is also applicable when the frequency and
wave number of a wave field are not known simultaneously or when the
dispersion of different modes is degenerate. The wave field is analyse
d with respect to its generalised polarisation of the state vec tor. T
he applicability of the method is tested using simulated data and real
data from the-experiments onboard the Giotto spacecraft near comet P/
Halley. In both cases unique identification Of the different wave mode
s is achieved.