1. A method of analyzing a multi-dimensional system comprising the steps of: generating a multi-dimensional signal for each of a plurality of channels associated with the multi-dimensional system; generating multiple dynamical profiles for each channel based on the corresponding multi-dimensional signal, where each profile reflects the dynamical characteristics of the corresponding channel in accordance with one of multiple dynamical parameters; for a group of channels, generating a number of statistical measures, wherein each of the statistical measures reflects a correlation level between corresponding dynamical profiles, and wherein each of the corresponding dynamical profiles is associated with one of the multiple dynamical parameters; selecting at least one dynamical parameter from amongst the multiple dynamical parameters; generating a statistical measure for the channel group, wherein the statistical measure reflects a correlation level between corresponding dynamical profiles associated with the selected at least one dynamical parameter; and characterizing the behavior of the multi-dimensional system as a function of the statistical measure, generated for the channel group, that reflects the correlation level between corresponding dynamical profiles associated with the selected at least one dynamical parameter.