Signal-to-Noise Ratios Required for Short-Term Narrowband Detection of Gaussian Processes

Abstract

Abstract : The required signla-to-noise ratios for short-term detection of a narrowband Gaussian signal process in Gaussian noise are computed for false alarm probabilities 10 sup (-n), n = 1(1)8; detection probabilities 0.5, 0.7, 0. 9, 0.99; and observation-time analysis-bandwidth products in the range of 0 to 100. No assumptions are made about Gaussian statistics of the decision variable, or about long observation intervals. It is found that the required signal-to- noise ratios are significantly greater in some cases than those predicted from a simple deflection criterion of system performance.