An invariance property of the generalized coherence estimate
A. Clausen, D. Cochran · IEEE Transactions on Signal Processing · 1997
The distribution of the M-channel generalized coherence estimate is shown not to depend on the statistical behavior of the data on one channel, provided that the other M-1 channels contain only white Gaussian noise, and an channels are independent. This confirms a previously published conjecture and extends the utility of the GC estimate as a detection statistic to include active as well as passive scenarios.