Midterm-Solution 2009 - Detection and Estimation Midterm...

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Detection and Estimation Midterm Solution, 2009 1. (a) CRLB = λ /N (b) MVU = A n x N N n = 1 0 ] [ 1 (c) = 1 0 ] [ N n n x (d) MLE = A n x N N n = 1 0 ] [ 1 (e) NA n x N k N n = = 1 0 ] [ ˆ (f) CRLB = N k 3 (g) No. k NA n x E N NA n x N E k E N n N n = = = = 1 0 1 0 ]) [ ( ) ] [ ( ) ˆ ( 2. (a) = 1 0 ] [ N n n e n x λ , = 1 0 ] [ N n n n x , = + 1 0 1 ] [ N n n n x (b) + + + + + = = = = = = = = = = 1 0 2 1 0 1 0 1 0 1 0 2 1 0 1 0 1 0 1 0 2 2 ) 1 ( 1 1 1 1 1 1 ) ( N n N n N n n N n N n N n n N n n N n n N n n n n n n e n n n ne n e ne e I σ θ (c) + + + + + + = = = = = = = = = = = = = 1
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Midterm-Solution 2009 - Detection and Estimation Midterm...

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