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Detection Probabilities for Log-Normally Distributed Signals

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2 Author(s)
Heidbreder, Glenn R. ; Aerospace Corporation, El Segundo, Calif.; Department of Electrical Engineering, university of California, Santa Barbara, Calif. ; Mitchell, Richard L.

The amplitude and power of a large family of radio signals are observed to have log-normal probability density functions. Among these are signals propagated through random inhomogeneous media, a notable example being low frequency atmospheric radio noise. Of greater importance are certain radar targets that have been observed to have essentially log-normal density functions. Both ships and space vehicles may fall into this category. Curves of probability of detection vs. signal-to-noise ratio for the case of log-normal signals in Gaussian noise have been computed and are presented in this paper. The curves apply for square-law detection with varying degrees of postdetection linear integration. Both fully correlated and completely uncorrelated fluctuating signals are considered. It is shown that for log-normal signal distributions having large variances, the probability of detection differs significantly from that obtained using curves based on an assumed Rayleigh signal distribution.

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Aerospace and Electronic Systems, IEEE Transactions on  (Volume:AES-3 ,  Issue: 1 )