II Semester M.E. (Control and Instrumentation) Degree Examination, July/Aug. 2013 2K8 CIEL 21 Elective – II : ADAPTIVE SIGNAL PROCESSING Time : 3 Hours
Max. Marks : 100
Instruction : Answer any five full questions.
1. a) Explain the Transversal filter with neat diagram.
8
b) Briefly explain the four basic classes of adaptive filtering applications.
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2. a) Derive the necessary and sufficient condition for the process u(n) to mean ergodic in the mean-square-error sense.
10
b) Consider a MA process x(n) of order two described by the difference equation x(n) = v(n) + 0.7 v(n–1)+0.25 v(n–2) where v(n) is a zero-mean white noise process of unit variance. The requirement is to approximate this process by AR process u(n) of order M. Do the approximation for the following orders a) M = 2 b) M = 5 c) M = 10
10
3. a) Evaluate the transfer function of following stochastic models. i) The MA Model ii) ARMA Model
10
b) Derive Yule-Walker equations.
10
4. a) Derive Weiner-Hopf equations and formulate them in Matrix form.
8
b) Derive the equation relating forward and backward predictors.
4
c) Explain the Levinson Peirbin algorithm and prove that PM = Po M
π M−1
(1− | KM |2 ).
8
P.T.O.
*JE1000*
JE – 1000 5. a) Explain the Cholesky factorization.
8
b) Explain the order update recursions for prediction errors. ⎡4 3 6. a) Find the eigen values of R and its normal form if R = ⎢⎢ 3 6 ⎢⎣ 0 2
b) Explain Joint process estimation. 7. Write short notes on :
12 0⎤ 2⎥ . ⎥ 4 ⎥⎦
10
10 (5×4=20)
i) Systolic array ii) Predictive speech model iii) Approaches to develop linear adaptive filters iv) Applications of adaptive filters.
Write short notes on : (5Ã4=20). i) Systolic array. ii) Predictive speech model. iii) Approaches to develop linear adaptive filters. iv) Applications of adaptive filters.
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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has other advantages besides adaptiveness: it requires polynomially fewer calls to the weak learner than the original algorithm, and it can be used with ...
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Page 3 of 723. THE ELECTRICAL ENGINEERING. AND APPLIED SIGNAL PROCESSING SERIES. Edited by Alexander D. Poularikas. The Transform and Data Compression Handbook. K.R. Rao and P.C. Yip. Handbook of Antennas in Wireless Communications. Lal Chand Godara.
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