5. a) We are given the following data

18.3 61 + w(O)
5.8 =2t+ 0)

3.1 = t+ wwhere w(n) is White Gaussian Noise. Find
the LS estimate Of t. (5 marks)

b) Obtain the BLUE of t, if the noise samples have zero mean and unit variance.

(4marks)
6. a) State CRLB theorem. (4 marks)
b) Explain MMSE and MAP estimators. (5 marks)

Part C

Answer any two questions.

7. a) Illustrate the discreteKalman filter algorithm and show how it is used in estimation.
(7 marks)

b) Discuss the application of estimation theory in image processing. (Smarks)

8.a) Derive the transfer function of the Weiner filter. (7marks)
b) Discusstheapplicationofdetectiontheoryinimageprocessing. (Smarks)

9.a) List out the applications of estimation and detection. (7marks)

b) Discuss how an estimator can be chosen for a given application. (Smarks)