Exact Operating Characteristics for Linear Sum of Envelopes of Narrowband Gaussian Process and Sinewave
NAVAL UNDERWATER SYSTEMS CENTER NEW LONDON CT
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The characteristic function of a linear sum of M independent Rice variates is derived and evaluated exactly and then used in a numerical procedure to determine the exceedance distribution function, as a function of the threshold, the input signal-to-noise ratio, and M. Plots of the detection probability and false alarm probability for a wide range of signal-to-noise ratios are given, for values of M up to 8192. In addition, the required threshold values and input signal-to-ratios are tabulated and plotted for specific values of M, false alarm probability, and detection probability. A program and explanation are included for those users interested in extending results to their particular application.
- Statistics and Probability
- Acoustic Detection and Detectors