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The Cramer-Rao bound is not a metric for the quality of a certain estimator, but rather can be calculated for a certain estimation problem and gives you a theoretical lower bound for the variance of any unbiased estimator for that problem (under some assumptions). For an unbiased estimator, the variance is equal to the expectation of the magnitude squared ...


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Q1: no, not in general. If the sum of multiple sequences is one of the sequences that are in your codebook $x^i$ (or a multiple), then this will become impossible to resolve. The sequences need to be mutually orthogonal, or the channels will "crosstalk". Look up DSSS, this is exactly what you're doing. Q2: because OOK doesn't use the channel half ...


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