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In this work, the problem of narrowband acoustic signal detection in an ocean using an array of sensors is investigated. The associated hypothesis testing problem is formulated as a goodness-of-fit test (GoFT) due to unavailability of the prior knowledge of the signal vector and the noise variance. A new GoFT, based on the statistics of the number of zero-crossings in the received observations (called...
In this paper, a nonlinear suboptimal detector whose performance in heavy-tailed noise is significantly better than that of the matched filter is proposed. The detector consists of a nonlinear wavelet denoising filter to enhance the signal-to-noise ratio, followed by a replica correlator. Performance of the detector is investigated through an asymptotic theoretical analysis as well as Monte Carlo...
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