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Consider the noisy measurements Y of a Gaussian source X ~ N (0, x ) corrupted by independent noise W ~ N (0, w )

Consider the noisy measurements Y of a Gaussian source X ~ N(0, x) corrupted by independent noise W ~ N(0, w) given by Y=AX+W where A is a matrix.

a)Calculate the MMSE estimate of X given Y

b)Calculate the estimator in part a) when x = x2I and w = w2I

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