Moment Features Invariant to Dispersion

摘要

As a wave propagates in a dispersive medium certain characteristics change and hence it may not be recognized as the same wave by different observers. For lossless dispersive propagation, temporal moments such as the mean time and duration of the wave change as a function of position, while frequency moments do not. We show that there are other moment-like temporal features of the wave that are also invariant to dispersion. These moments may be useful in automatic classification because indeed they are invariant to dispersive channel effects and hence do not depend on the position at which they are calculated, and they provide additional information beyond that given by frequency moments.