Detection Performance of Power-Law Processors for Random Signals of Unknown Location, Structure, Extent, and Strength
NAVAL UNDERSEA WARFARE CENTER NEWPORT DIV RI
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A signal if present is located somewhere in a band of frequencies characterized by a total of N search bins. The signal occupies an arbitrary set of M of these bins, where not only is M unknown, but also, the locations of the particular M occupied bins are unknown. Also, the signal strength is unknown. A class of processors, called the power-law processors, is investigated, in which the available data is raised to the V-th power prior to summation over all data values. The required threshold settings for achieving false alarm probabilities in the range down to 1E-6 have been determined for power values v 2, 3, 2.5. The receiver operating characteristics have been determined and plotted, for these same values of power V, for a wide range of values of M. These results allow for accurate extraction of required signal-to-noise ratios to achieve a specified level of performance, as measured by the false alarm and detection probabilities, Pf and Pd. Detection, Likelihood Ratio, Power-Law Processor, Unknown Location, Unknown structure, Unknown Extent.
- Undersea and Antisubmarine Warfare
- Acoustic Detection and Detectors