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Problem 4: Stationarity. A random process X(t, 5), te (-00, 0), is defined over the sample space S = {31 = 1,32 = 2,33 =
Problem 4: Stationarity. A random process X(t, 5), te (-00, 0), is defined over the sample space S = {31 = 1,32 = 2,33 = 3,34 = 4}, whose outcomes li are equi-probable. The sample paths of the process are defined as follows: x(t, 51) = 2 vt, x(t, 52) = 1 Vt, x(t, 53) = -1 Vt, and x(t, 54) = -2 Vt. 1. Show whether the process is strict sense stationary (SSS) or not (show your work). 2. Show whether the process is wide sense stationary (WSS) or not (show your work). Problem 4: Stationarity. A random process X(t, 5), te (-00, 0), is defined over the sample space S = {31 = 1,32 = 2,33 = 3,34 = 4}, whose outcomes li are equi-probable. The sample paths of the process are defined as follows: x(t, 51) = 2 vt, x(t, 52) = 1 Vt, x(t, 53) = -1 Vt, and x(t, 54) = -2 Vt. 1. Show whether the process is strict sense stationary (SSS) or not (show your work). 2. Show whether the process is wide sense stationary (WSS) or not (show your work)
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