Operating Characteristics for Continuous Square-Law Detection in Gaussian Noise
NAVAL UNDERWATER SYSTEMS CENTER NEWPORT RI
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The exact detection probabilities and false-alarm probabilities for continuous square-law detection of a signal in Gaussian noise are calculated, with no restrictive assumptions about the size of the observation-time-bandwidth products. Two cases are considered they are called the low-frequency LF and narrowband NB cases. In both cases, the signal has coherent and incoherent components. Results for the detection probability versus signal-to-noise ratio SN, with false-alarm probability as a parameter, are given for both the LF and NB cases for observation-time-bandwidth products equal to 2 sup n n 01 7 and for the fraction of coherent signal power equal to 0, .2, 1. For a specifed detection probability of .5 and false-alarm probabilities of 110 sup nn 118, the required SN is also plotted for the same range of time- bandwidth products and fractions of coherent signal power as above.