Question: A random process is composed of sample functions that are square waves, each with constant amplitude T 0 , and random delay Ï as sketched

A random process is composed of sample functions that are square waves, each with constant amplitude T₀, and random delay Ï„ as sketched in Figure 7.15. The pdf of Ï„ is

S 1/T,, |7| < To/2 0, f (t) = otherwise

Figure 7.15

(a) Sketch several typical sample functions.
(b) Write the first-order pdf for this random process at some arbitrary time t₀. (Because of the random delay Ï„, the pdf is independent of t₀. Also, it might be easier to deduce the cdf and differentiate it to get the pdf.)

S 1/T,, |7| < To/2 0, f (t) = otherwise X(t) - To

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