Abstract
A method is proposed for resolving the left–right ambiguity in passive sonar systems, a problem that arises in source localization when the array is straight. In practice, the array is not straight and a statistical analysis within the Neyman–Pearson framework is developed for a monochromatic signal in the presence of noise, assuming that the exact array shape is known. For any given array shape, an expression for the probability of correct resolution (PCR) is derived as a function of two parameters: the SNR and an array-lateral-displacement parameter. The first parameter measures the strength of the signal relative to the noise and the second the curvature of the array relative to the acoustic wavelength. The PCR is calculated numerically for a variety of array shapes of practical importance. The model results are found to agree with intuition; the PCR is 0.5 when the array is straight and is increasing as the signal is becoming louder and the array more curved. It is explained why the method is useful in practice and the effects of correlation between beams are discussed. [Research partially supported by Thomson Marconi Sonar Ltd.]
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