The performance analysis of a fourth-moment detector

Abstract
The performance of a fourth-moment detector for a burst-noise signal in background noise is compared with that of a conventional quadratic detector when a fixed-length observation window is employed. The burst duration is assumed to be unknown, so there may be a significant mismatch between the length of the signal and that of the observation window. The results quantify the signal-to-noise ratio advantage of the fourth-law detector over it square-law counterpart when the signal duration is much shorter than the integration time and show the crossover point at which the two detectors perform equivalently.

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