’

JEP – 995

*JE995*

II Semester M.E. (Control & Instrumentation) Degree Examination, July 2014 (2K8 Scheme) CIEL 21: Elective – II : ADAPTIVE SIGNAL PROCESSING Time : 3 Hours

Max. Marks : 100

Instruction : Answer any five full questions. 1. a) Explain systolic array with a neat sketch.

8

b) Explain the advantages of adaptive signal processing with applications.

12

2. a) Derive the equation for the process u(n) to mean ergodic in the mean-squareerror sense.

10

b) Explain the properties of correlation matrix. 3. a) Derive Weiner Hoff equations. Express them in matrix form.

10 8

b) Obtain the transfer functions of following systolic models, i) ARMA model ii) MA model.

12

4. a) Find the eigen values of R and its normal form ⎡4 If R = ⎢3 ⎢ ⎢⎣0

3 6 2

0⎤ 2⎥ ⎥ 4 ⎥⎦

b) Explain the joint process estimation 5. a) Derive Yule-Walker equations.

12

8 8

b) Derive the equation relating forward and backward predictors.

4

c) Explain the feature of lattice predictor.

8 P.T.O.

*JEP9955*

JEP – 995 6. a) Explain four-classes of adaptive filtering applications. b) Prove the following correlation properties of lattice filter.

10 10

E [fm (n) u* (n – k)] = 0 1 ≤ k ≤ m E [bm (n) u* (n – k)] = 0 0 ≤ k ≤ m − 1 7. Write explanatory notes on

20

a) Transversal filter b) Forward prediction filter c) Predictive speech modeling d) Least mean square adaptive filtering. ____________

ADAPTIVE SIGNAL PROCESSING.pdf

1. a) Explain systolic array with a neat sketch. 8. b) Explain the advantages of adaptive signal processing with applications. 12. 2. a) Derive the equation for the ...

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