Abstract
A three-element detector, consisting of an <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">RC</tex> filter with time constant <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1/a</tex> , a hard limiter, and finally an <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">RC</tex> filter with time constant <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1/b</tex> , is considered. The detector is stimulated by a nonzero-mean white Gaussian noise input, and the system output is observed. A Markov assumption on the hard limiter output leads to a closed-form expression for the output density, which is verified to be close to the actual output density of the detector by computer simulations.
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