The Most Likely Distribution of Target Echo Amplitudes
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Whether for sonar performance modelling or for performance optimisation, the detection and false alarm probabilities of a sonar system must be determined. An accurate calculation of both probabilities requires knowledge of the distributions of signal and noise. The scope of this article is limited to the amplitude distribution of the signal of an active sonar, i.e. of the target echo. What is the right choice of target echo distribution? To find the most likely distribution of a measured dataset, the theoretical distributions are compared with the observations. This is worked out in two different ways; directly with the continuous distributions and the Kolmogorov-Smirnov test and with a discrete multinomial distribution and the chi-square test. The set of candidates for the signal amplitude distribution consists of the Rayleigh, one-dominant-plus-Rayleigh and Rician distributions. Both methods that are applied require that the measured echoes are independent and come from identical situations. These requirements are met to an acceptable degree for a set of experimental data. It is shown that the one-dominant-plus- Rayleigh distribution is more likely than the Rayleigh distribution to result in the measured target echo amplitudes
Topics
TNO Identifier
223294
Source title
Underwater Acoustic Measurements: Technologies & Results - 2nd International Conference & Exhibition UAM 2007, 25 - 29 June 2007, Heraklion, Crete, Greece
Pages
361-366
Files
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