A choice is made between Hypotheses (H_{0}) and (H_{1}) on the basis of a single measurement (x).
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A choice is made between Hypotheses \(H_{0}\) and \(H_{1}\) on the basis of a single measurement \(x\). Under Hypothesis \(H_{0}, x=n\); under Hypothesis \(H_{1}, x=s+n\). Here both \(s\) and \(n\) are positive random variables with the following PDFs:
Calculate the PDFs under Hypotheses \(H_{0}\) and \(H_{1}\). Find the decision level on \(x\) to yield a given false alarm probability \(Q_{0}\), and calculate the probability \(Q_{d}\) of correctly choosing Hypothesis \(H_{1}\).
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Related Book For
Free Space Optical Systems Engineering Design And Analysis
ISBN: 9781119279020
1st Edition
Authors: Larry B. Stotts
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