A sinusoidal signal with a random phase is given by x(t) = A sin [π/2 – (2πft + θ)] with the probability density function\({P_\theta }\left( \theta \right) = \left\{ {\begin{array}{*{20}{c}} {1/2\pi ,\;\;0 \le \theta \le 2\pi }\\ {0,\;\;otherwise} \end{array}} \right.\)What is the maximum amplitude of the autocorrelation function of this signal?

• A. A
• B. A/2
• C. A2
• D. A2/2