Question: Need help One-bit quantization of Gaussian sources. Let X ~ /(0,1) and let 1, if X 20, Y = -1, otherwise. Thus, Yencodes the sign

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One-bit quantization of Gaussian sources. Let X ~ /(0,1) and let 1, if X 20, Y = -1, otherwise. Thus, Yencodes the sign of X. a) Find the pmf of Y. b) Find the conditional pdf of X given the observation that Xis positive, fry(x|1) . Hint: start computing the conditional CDF Fry (x |1) . c) Find the MMSE estimator of X given Y

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