Title :
Statistics of the estimate of the magnitute-coherence function
Author :
Carter, G.Clifford ; Knapp, Charles H. ; Nuttall, Albert H.
Author_Institution :
New London Laboratory, New London, Conn
fDate :
8/1/1973 12:00:00 AM
Abstract :
Expressions for the statistics of the estimate of magnitude coherence between two random stationary Gaussian processes are presented. These statistics include the probability density function, the cumulative distribution function, the bias, and the variance of the estimator. The expressions presented are in convenient and accurate forms for digital computer evaluation. Graphical examples of the bias and variance are included. Simple approximations are also given for the maximum bias, variance, and mean-square error.
Keywords :
Density functional theory; Distribution functions; Gaussian processes; Mean square error methods; Probability density function; Random processes; Random variables; Statistical distributions; Statistics; Upper bound;
Journal_Title :
Audio and Electroacoustics, IEEE Transactions on
DOI :
10.1109/TAU.1973.1162487
