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2003 Course Digital Control Systems

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Total No. of Questions : 12] [Total No. of Pages : 4 [3864] - 232 P 1064 B.E. (Electrical) DIGITAL CONTROL SYSTEMS (2003 Course) (403149) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates: 1) Answer any one question from each pair of questions Q.1 & Q.2, Q.3 & Q.4, Q.5 & Q.6, Q.7 & Q.8, Q.9 & Q.10 and Q.11 & Q.12. 2) Answers to the two sections should be written in separate books. 3) Neat diagrams must be drawn wherever necessary. 4) Figures to the right indicates full marks. 5) Use of logarithmic tables, slide rules, electronic unprogrammable pocket calculator is allowed. 6) Assume suitable data, if necessary. SECTION - I Q1) a) b) Explain the various standard discrete input test signals with neat diagrams. [6] [10] Consider the discrete time sequence as given below : { x ( n ) = 1, 1, 4,1,2 } Explain in detail and draw graphs for : i) Compress the sequence by 2 samples. ii) Delay the sequence by 2 samples. iii) Fold the sequence and advance by one sample. iv) Attenuate the sequence by amplitude scale 2. v) Prove that folding and time delay operations are not commutative. OR Q2) a) b) Explain sampling and reconstruction process. State Sampling theorem and give its importance. [6] Classify the following sequences as static / dynamic, time-invariant / time-variant, linear / non-linear, Causal / non-causal, stable / unstable giving detail justification. n +1 x(k ) i) y( n ) = ii) y(n) = x(n).cos(w0n). k = [10] P.T.O.

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