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2003 Course Digital Control Systems

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Total No. of Questions : 12] P942 [Total No. of Pages : 4 [3664]-189 B.E. (Electrical) DIGITAL CONTROL SYSTEMS (403149) (2003 Course) 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 indicate full marks. 5) Use of logarithmic tables, electronic unprogrammable pocket calculator is allowed. 6) Assume suitable data, if necessary. SECTION - I Q1) a) b) Explain the sampling & reconstruction process, state sampling theorem. [6] Draw graphical representation of: [6] (i) Unit impulse or Delta function; (ii) Unit step sequence; (iii) Unit ramp sequence. c) Sketch a D.T. signal x(n) = z n for 2 n 2 and obtain y(n) = 2x(n) + (n).[5] OR Q2) a) Determine whether the following systems are shift (time) invariant or not? [9] i) y(n) = x(n) x(n 1). ii) y(n) = n x(n). iii) y(n) = x( n). b) For the given sequence x(n) = {4, 1, 5, 2, 2}. i) Delay the sequence by 2 samples, [8] ii) Compress the sequence by time scale 2, iii) Attenuate the sequence by amplitude scale 2, iv) Fold the sequence and advance by one sample. P.T.O.

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