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Consider a stationary stochastic signal sequence {x(n)}, with zero mean and auto correlation sequence.
What will be the prediction coefficient (a1) of the 1st order minimum mean square error predictor for ? (Answer up to one decimal place)
    Correct answer is '0.5'. Can you explain this answer?
    Most Upvoted Answer
    Consider a stationary stochastic signal sequence {x(n)}, with zero me...
    The 1st order predictor is,
    The coefficient a1 that minimises the MSE is found from the orthogonality of the prediction error to the prediction data.
    E[e(n) x (n - 1)] = 0
    E[(x(n) - a1 x (n - 1)) x (n - 1)] = 0
    Φ(1) - a1 Φ(0) = 0
    a1 = Φ(1)/Φ(0) = (1/2)/1 = 0.5
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    Consider a stationary stochastic signal sequence {x(n)}, with zero mean and auto correlation sequence.What will be the prediction coefficient (a1) of the 1st order minimum mean square error predictor for ? (Answer up to one decimal place)Correct answer is '0.5'. Can you explain this answer?
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