Consider the random process (U(t)=A), where (A) is a random variable uniformly distributed on ((-1,1)). (a) Sketch

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Consider the random process \(U(t)=A\), where \(A\) is a random variable uniformly distributed on \((-1,1)\).

(a) Sketch some sample functions of this process.

(b) Find the time autocorrelation function of \(U(t)\).

(c) Find the statistical autocorrelation function of \(U(t)\).

(d) Is \(U(t)\) wide-sense stationary? Is it strictly stationary?

(e) Is \(U(t)\) an ergodic random process? Explain.

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