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Consider a random process X(t) defined by X(t) - Ycoset, 0st where o is a constant 1. and Y is a uniform random variabl...

Consider a random process X(t) defined by X(t) - Ycoset, 0st where o is a constant 1. and Y is a uniform random variable over

Consider a random process X(t) defined by X(t) - Ycoset, 0st where o is a constant 1. and Y is a uniform random variable over (0,1) (a) Classify X(t) (b) Sketch a few (at least three) typical sample function of X(t) (c) Determine the pdfs of X(t) at t 0, /4o, /2, o. (d) EX() (e) Find the autocorrelation function Rx(t,s) of X(t) (f) Find the autocovariance function Rx(t,s) of X(t)
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A Tandom pro Cess XC) s defined by X CE-YCaSut 470 ue Camstant (o,1) y uniform random vamable aves classty Xt Stationany SensC) Det es m? ne Pobabilfty denstty functt on.s of x) at teo, 12 aus l 4 Co f(y,)= Probability densfty function CoS cst XEE aywhich gives the rando mean Parocess fiy2 X Ct)=YCog cast E Cxu .dy y Cog uot Gog cot Hese Hence Because here teme mean is Ptf) functi on Auto covarian ce CyCt,t)ltt)-yt) t) CxCti,t) Cos wts where xlti - Ex(t CoS wta Ctsta CoS wt Co5 wta 4 Co5 wt CoSMean functien ytt gives as the expected Vaue of x at time t Note:- K Cti,t) and C, Ct,t) givas ntranation about how XCt) and

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Consider a random process X(t) defined by X(t) - Ycoset, 0st where o is a constant 1. and Y is a uniform random variabl...
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