7. The autocorrelation function of a random sequence {An} is defined as Ra(m) = E(A$An+m). Suppose that the elements of the sequence {An}- are independent, identically distributed random variables taking on one of three possible values {-1,0, +2} with probabilities P(-1) = 1, P(0) = and P(+2) = . Determine Ra(m).

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7. The autocorrelation function of a random sequence {An} is defined as
Ra (m) E(An An+m).
8=1∞
Suppose that the elements of the sequence {An} are independent, identically distributed
random variables taking on one of three possible values {-1,0, +2} with probabilities P(−1) = ½¼,
P(0) = and P(+2) = . Determine Ra(m).
Transcribed Image Text:7. The autocorrelation function of a random sequence {An} is defined as Ra (m) E(An An+m). 8=1∞ Suppose that the elements of the sequence {An} are independent, identically distributed random variables taking on one of three possible values {-1,0, +2} with probabilities P(−1) = ½¼, P(0) = and P(+2) = . Determine Ra(m).
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