Jan 23, 2009 #1 B BMWE Member level 2 Joined Apr 4, 2005 Messages 51 Helped 1 Reputation 2 Reaction score 1 Trophy points 1,288 Activity points 1,585 looking for estimator hello i'm looking for estimator for \[\theta\]from measurements \[x[n]=\theta^2+w[n]\] where \[w[n]\] are iid AWGN \[N(0,\sigma^2)\] it seems that the estimator can be \[\hat\theta =\sqrt{\frac{1}{N}\sum x[n]}\] but in case where \[\theta=1, \sigma=5\] it can be that the sum is negative and i can't estimate \[\theta\] can somebody help?
looking for estimator hello i'm looking for estimator for \[\theta\]from measurements \[x[n]=\theta^2+w[n]\] where \[w[n]\] are iid AWGN \[N(0,\sigma^2)\] it seems that the estimator can be \[\hat\theta =\sqrt{\frac{1}{N}\sum x[n]}\] but in case where \[\theta=1, \sigma=5\] it can be that the sum is negative and i can't estimate \[\theta\] can somebody help?