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2003 Course Digital Signal Processing (Elective II)

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Total No. of Questions : 12] [Total No. of Pages : 4 P1345 [3764]-215 B.E. (Electrical) DIGITAL SIGNAL PROCESSING (2003 Course) (Elective - II) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates : 1) Answers to the two sections should be written in separate books. 2) Neat diagrams must be drawn wherever necessary. 3) Your answers will be valued as a whole. 4) Use of logarithmic tables, slide rule, Mollier charts, electronic pocket calculator and steam tables is allowed. Assume suitable data, if necessary. 5) SECTION - I Q1) a) What are advantages of digital signal processing over analog signal processing? [6] b) Compute linear convolution of the following sequences. [6] i) x (n) = {1, 1, 1, 1} , y(n) = {0, 1, 0, 1} . ii) 1 x (n) = n for 0 n 3 3 =0 y(n) = 1 =0 elsewhere for 1 n 1 elsewhere. c) State and explain sampling theorem and nyquist rate. [6] OR Q2) a) Give the detail classification of discrete time systems with one example each. [6] P.T.O. b) Compute cross-correlation of following signal. [6] x(n) = {1, 2, 3, 4} & h(n) = {1, 1, 1, 1} c) Determine whether following systems are i) shift invariant or variant 1) y(n) = x(n) x(n 1) 2) ii) [6] linear or non-linear y(n) = n x(n) Q3) a) Explain following properties of z transform. i) Time shifting ii) iii) Initial value theorem [8] Scaling iv) Time reversal. b) Determine inverse z transform of the following function using partial fraction. [8] 4 z 2 + 3z 1 + 2 x ( z ) = 1 2 3 1 for causal sequence. 2 z +1 2z OR Q4) a) Explain significance of ROC in z-transform. b) Find z-transform and ROC in following functions. [6] [10] n i) x(n) = ii) x(n) = ( 1)n (2) n u(n 1). 1 for n > 0 3 1 n for n < 0 2 Q5) a) For n = 8, explain Radix-2 DIT-FFT algorithm for computation of DFT. [8] [3764]-215 -2- b) Find the circular convolution of following two sequences using matrix method. [8] x(n) = {0, 1, 2, 3} & h(n) = {2, 1, 1, 2} OR Q6) a) Explain Goertzel algorithm for computation of DFT. [8] b) Compute DFT of following sequence. x (n) = {3, 2, 1, 0} use four point DFT. [8] SECTION - II Q7) a) Develop Direct Form - II realization of system described by 5 1 + 6 z 1 + 1 z 2 6 H( z ) = 1 z 1 1 z 2 1 2 2 [6] b) Compare digital filters with analog filters. [6] c) Explain rectangular and hanning window for digital filter design. [6] OR Q8) a) Explain design of IIR Filter using Bilinear transformation. [8] b) Design FIR Filter using rectangular window with pass band gain of unity with cut-off frequency of 200 Hz sampling frequency of 1 kHz. Assume length of impulse response as 7. [10] Q9) a) What are different types of architectures? What type of architecture is used for DSP? [8] b) Explain data address generator and multiplier accumulator with reference to DSP processor. [8] OR Q10) a) With help of neat block diagram explain architecture of TMS 320C5X. [8] b) Compare Digital Signal Processor with general purpose microprocessor. [8] [3764]-215 -3- Q11) Explain how DSP is used for [16] a) Power Factor Correction. b) Harmonic analysis. OR Q12) a) Explain control of 3 induction motor using DSP. b) Explain spectrum analysis using DFT. rrrr [3764]-215 -4- [8] [8]

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