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1997 Course Digital Signal Processing & Application

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Total No. of Questions : 10] P1588 [Total No. of Pages : 3 [3764]-1042 B.E. (Electronics) DIGITAL SIGNAL PROCESSING & APPLICATION (404203) (1997 Course) Time : 3 Hours] [Max. Marks :100 Instructions to candidates : 1) Answer any 3 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) Use of logarithmic tables, slide rule, Mollier charts, electronic pocket calculator and steam tables is allowed. 6) Assume suitable data, if necessary. SECTION - I Q1) a) What is stability of system? Explain stability criteria for LTI system. Also explain the same in terms of Z - domain. [6] b) Explain three properties of convolution. c) Test the following systems for time invariance, causality & linearity. i) y(n) = 5nx2(n) ii) [6] y(n) = 3x( n + 4) iii) y(n) = cos (x(n)). Q2) a) [6] Find the response of the system described as [8] y(n) y(n 1) = x(n) for i) ii) b) x(n) = u(n). x(n) = 2 n u(n). State convolution property in Z - domain & explain its advantage. Find convolution of signal using Z.T. [8] x1(n) = (0.25)n u(n 1) x2(n) = [1 + 0.5n] u(n). P.T.O.

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