(Solution) - A one step linear predictor operates on the sampled version of -(2025 Original AI-Free Solution)

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A one-step linear predictor operates on the sampled version of a sinusoidal signal. The sampling rate is equal to l0 ?0 where ?0 is the frequency of the sinusoid. The predictor has a single coefficient denoted by w1.
(a) Determine the optimum value of w1 required to minimize the prediction error variance.
(b) Determine the minimum value of the prediction error variance.