Multiple Coherence Function

Multiple Coherence Function Based on Multiple input theory

For a system having multiple inputs x and outputs y, the partial coherence is the coherence computed between any individual input and the output when the effect of all other inputs is removed from the output by a linear least squares prediction. This coherence obeys the usual inequality, and will reveal the existence of a linear relationship between a particular residual input and the output even when the relationship is not apparent from the ordinary coherence function