Abstract
We derive a simple generalized formula for spatial correlation and show that it provides a good approximation for spatial correlation for three very different angular energy distributions: a Gaussian angle distribution, a Laplacian angle distribution, and a uniform angular distribution. We also derive an equation for spatial correlation when the angular energy distribution is bimodal. These generalized equations are parameterized by d/spl sigma///spl lambda/ where d is the distance between antennas, /spl lambda/ is the carrier wavelength and /spl sigma/ is the standard deviation of the angular energy distribution. This allows for a single curve to be used for any value of d//spl lambda/ and /spl sigma/. It is found that the standard deviation of the angular energy distribution or angle spread is the dominant factor for determining correlation as opposed to the specific angular energy distribution.
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