Output Probability Density Functions for Cross Correlators Utilizing Sampling Techniques
- 1 January 1974
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Aerospace and Electronic Systems
- Vol. AES-10 (1) , 78-81
- https://doi.org/10.1109/TAES.1974.307966
Abstract
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.Keywords
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