3. Let S be a positive rv with mean μ and variance o2. Our goal is to estimate S based on an observation X of the form X = √S W. We can assume that S and W are independent and W has mean 0 and variance 1. (a) Determine the linear LMS (LLMS) estimator of S given X = x. (b) Suppose that Y = X2. Determine the LLMS estimator of S given Y = y. Your answer may include the fourth moment of W, i.e. E(W4).

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