64131-mt----detection & Estimation Theory

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Code No: 64131/MT M.Tech. – I Semester Supplementary Examinations, September, 2008 DETECTION & ESTIMATION THEORY (Communication Systems) Time: 3hours

Max. Marks:60 Answer any FIVE questions All questions carry equal marks ---

1.a) b)

Explain the Bayes criterion for simple binary hypothesis tests. Find γ for the optimum Bayes test as a function of the costs and apriori probabilities for the following binary hypothesis testing problem: H1 : r = s+n H0 : r = n

2.

Define and explain bounds on the error probabilities in terms of the moment generating function of l(R).

3.

Explain the properties of integral equations?

4.

Write about cosine-sine representation in spectral decomposition?

5.

Explain the M-ary detection in white Gaussion noise.

6.

Write about matched filter and show how it can be realized?

7.

Find the lower bound on the mean square estimation error in waveform estimation?

8.

Explain the five properties of optimum processors? ******