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Output Probability Density Functions for Cross Correlators Utilizing Sampling Techniques

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1 Author(s)
Andrews, L.C. ; Florida Technological University Orlando, Fla. 32816

Sampling techniques provide a practical means of obtaining cross-correlation functions. In this paper, the correlation function is described by sums of the form Z = begin{equation*}Z = Sigma^{N}_{j=1}X_{j}Y_{j}end{equation*}. A general expression is derived for the probability density function of the random variable Z under the condition that Xj and Yj are stationary, jointly Gaussian random processes with nonzero means and unit variances.

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Aerospace and Electronic Systems, IEEE Transactions on  (Volume:AES-10 ,  Issue: 1 )