BE - SEMESTER-VII (NEW) EXAMINATION — WINTER 2018
Subject Code: 2171708
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Subject Name: Digital Signal Processing
Date: 19/11/2018
Time: 10:30 AM TO 01:00 PM
Total Marks: 70
Instructions:
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- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
Q.1
(a) Determine the z transform of finite duration sequence x(n)= {1, 2, 3, 4, 5} 04
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(b) Write about anti-aliasing filter for DSP system. 07
(c) Explain classification of discrete time systems in detail. 03
Q.2
(a) Decide whether system y(n) = x(n2) is linear or nonlinear. 04
(b) Introduce quantization and quantization errors. 07
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(c) Brief about architecture of DSP processor with necessary sketch. 07
OR
(c) Discuss advantages of digital over analog signal processing. 03
Q.3
(a) What are even and odd signals? Give example. 04
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(b) Compute 4 point DFT of sequence x(n) = {1,0, 2,3} with matrix of twiddle factor. 07
(c) Represent the system transfer function H(z)=(1- 3 z-1+ 7 z-2)(1- 7 z-1+ 2 z-2) using direct form structure and cascade form structure. 03
OR
(a) Write any three properties of z transform. 04
(b) Brief about relationship of the discrete Fourier transform to the z transform. 07
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Q.4
(a) Compute 4 point DFT of sequence x(n)= {1,1,1,2} by definition and with matrix of twiddle factor. 03
(b) Explain transposed form of structure for discrete time systems. 04
(c) Perform linear convolution using mathematical equation for following sequences A(n) ={1,1, -1} and x(n)={1, -1, 2} 07
OR
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(a) Determine cross correlation rxy(l) for following sequences x(n)={-3,-2,1, 0, 8,-3} and A(n)={1,1,1, -1,2, -2} 03
(b) Introduce various terms of specifications for FIR filter design. 04
(c) List windowing techniques for filter design. Explain any one window in detail. 07
Q.4
(a) Perform circular convolution for following two sequences x1(n)= {1,1,2,1} and x2(n) = {1,2, 3,4} 03
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Q.5
(a) Explain term ‘radix’ for FFT algorithm. 03
(b) Find sequence X (k) using decimation in time FFT technique for x(n)={0,1,2,3} 04
(c) Determine the inverse z transform of X(z) = 1/(1-1.5z-1 +0.5z-2) by power series expansion for ROC |z| >1. 07
OR
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(a) With example explain signal flow diagram representations of Linear Constant-Coefficient Difference equations. 03
(b) Determine digital filter for analog filter H(s)= 5/(s+a)2 +b2 using impulse invariance method. 04
(c) Find z transform and ROC of x(n) =(-1/5)n u(n) –(1/3)n u(-n-1) 07
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