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1997 Course Digital Signal Processing & Applications

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Total No. of Questions : 10] [Total No. of Pages : 3 [3664] - 51 P 1340 B.E. (Electronics) DIGITAL SIGNAL PROCESSING & APPLICATIONS (1997 Course) (404203) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates: 1) Answer any three questions from each section. 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) Your answers will be valued as a whole. 6) Use of logarithmic tables, slide rule, Mollier charts, electronic pocket calculator and steam tables is allowed. 7) Assume suitable data, if necessary. SECTION - I Q1) a) Determine the cross correlation sequence Yxy(1) of the following sequences : [10] { y ( n ) = { 1, 2, 0.5, 0, 0.........} } x ( n ) = .......0, 0, 1, 2, 0,3, 1, 0, 0...... b) Also find normalized cross correlation sequence pxy(1). Explain terms : i) Cross correlation, ii) Auto correlation. [8] Q2) a) b) c) State and explain autocorrelation properties. Explain sampling theorem. The DT-LTI system is characterized by the difference equation : y(n) = 3x(n) 4x(n 1) + 7/2y(n 1) 3/2y(n 2) Determine the impulse response of the system for : i) The stable system. ii) The causal system. Realize the system in direct 2 form. [4] [2] [10] Q3) a) If x(n) = u(n) u(n 2), find the DC component of this signal. Justify [8] your answer. P.T.O.

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