Detection of a constant signal using the bi-covariance function

The bispectrum cancels certain types of noise effects and detects certain types of nonlinear interactions. Two detectors based on the bicovariance, the Fourier inverse of the bispectrum, have been proposed for these reasons. The performance of these detectors is simulated and compared to the performance of the linear and the sign detectors for Gaussian noise, Gaussian noise corrupted by a sinusoid with random phase, and Arctic under-ice data. Sample bispectra and bicovariance functions for actual acoustic data are presented