Physical Sciences and Mathematics Commons^™

Prediction Of Signal‐To‐Noise Ratio Gain For Passive Higher‐Order Correlation Detection Of Energy Transients, Lisa A. Pflug, George E. Ioup, Juliette W. Ioup, Robert L. Field

Physics Faculty Publications

In general, higher‐order correlation detectors perform well in passive detection for signals of high third‐ and fourth‐order moments. Previous studies by the authors have shown that the normalized third‐ and fourth‐order signal moments are reliable indicators of higher‐order correlation detector performance [Pflug et al. (1992b)]. For a deterministic energy transient of known moments through fourth order, it is possible to predict theoretically the amount of gain over an ordinary cross‐correlation detector for a bicorrelation or tricorrelation detector applied in a noise environment of known variance. In this paper, formulas that predict detector performance for passive detection at the minimum …