(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The random variable C is uniform in the interval (0,T). Find the autocorrelation

[tex] R_x(t_1,t_2) [/tex] if X(t) = U(t-C) where U is a unit step function.

2. Relevant equations

3. The attempt at a solution

[tex] R_x (t_1,t_2) = \int_{-\infty}^{\infty} U(t_1-c) U(t_2-c) f(c) dc [/tex]

[tex] R_x (t_1,t_2) = \frac{1}{T}\int_0^T U(t_1-c) U(t_2-c) dc [/tex]

I get stuck here. How do you integrate two shifted unit step functions?

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# Homework Help: Unit step integration

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