A receiver at a radial distance R from a radio beacon measures the beacon power to...
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A receiver at a radial distance R from a radio beacon measures the beacon power to be X = Y - 40 - 40 log10 R dB where Y, called the "shadow fading factor," is a zero-mean Gaussian random variable with standard deviation 8. Y and R are independent. When the receiver is equally likely to be at a point within a 1000 m radius circle around the beacon, the distance R has PDF 0 ≤r≤ 1000, otherwise. = {2/106 fr(r) = 4.1. (5 points) Find the ML estimate of R given the observation X=x. 4.2. (5 points) Find the MAP estimate of R given the observation X=x. A receiver at a radial distance R from a radio beacon measures the beacon power to be X = Y - 40 - 40 log10 R dB where Y, called the "shadow fading factor," is a zero-mean Gaussian random variable with standard deviation 8. Y and R are independent. When the receiver is equally likely to be at a point within a 1000 m radius circle around the beacon, the distance R has PDF 0 ≤r≤ 1000, otherwise. = {2/106 fr(r) = 4.1. (5 points) Find the ML estimate of R given the observation X=x. 4.2. (5 points) Find the MAP estimate of R given the observation X=x.
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Problem 41 The maximum likelihood ML estimate of R given the observation X x is the value of R that maximizes the probability of observing X x In this ... View the full answer
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