APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
SECOND SEMESTER M.TECH DEGREE EXAMINATION, MAY 2016.
Electronics and Communication Engineering

01EC6302 Estimation and Detection Theory
Max. Marks : 60 Duration: 3 Hours

Part A

Answer any two questions.

1. a) State Neyman-Pearson theorem and explain how it is used for signal detection.
(4 marks)

b) Design a matched filter for the given signal x[n] [1 3 2 1 2 4]. (5 marks)

2. a) For the dc level in the WGN detection problem assume that we wish to have PFA
= 1041011 PD = 0.99. If the SNR is 10 log10A2/02 = -30 dB, determine the necessary
number of samples N. (5 marks) b) DefineChernoff bound. (4 marks)

3. a) Consider the detection problem
Ho :x[0] = 10[0]
211 :x[0] = 1+ w[0]
wherew[01 is a uniformly distributed random variable on the interval [-a, a] for ೩
> 0. Discuss the performance of the detector that decides HI if 5107 > 1/2 asa
increases. (5 marks) b)Define Baye's Risk function and explain. (4 marks)

Part B

Answer any two questions.

4. a) Consider the problem, x[nl = A +Bn + w(n], where w[n] ~ ‏بر‎ A and 8 are parameters to be
estimated.Obtain the Fischer Information matrix. (5 marks) b) Discuss the concept of Bayesian

estimation. (4marks)