GUJARAT TECHNOLOGICAL UNIVERSITY
BE- SEMESTER-VII (NEW) EXAMINATION - WINTER 2020
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Subject Code:2171708 Date:21/01/2021Subject Name:Digital Signal Processing
Time:10:30 AM TO 12:30 PM Total Marks: 56
Instructions:
- Attempt any FOUR questions out of EIGHT questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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Q.1 (a) Give classification of signals. [03]
(b) For given discrete time system check whether the given system is a Static/Dynamic, Linear/Nonlinear, TimeVariant/Invariant, Causal/Noncausal, Y(n)= x(2*n) [04]
(c) What is aliasing effect and how it can be eliminated? [07]
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Q.2 (a) Draw & discuss typical block diagram of Digital Signal Processing [03]
(b) Explain with suitable example recursive and non-recursive systems. [04]
(c) Compute the convolution by graphical method between x(n)={-1,2,3,2,1} and Y(n)={1,2,3,1} [07]
Q.3 (a) ROC of Z-transform and enlist properties of ROC. [03]
(b) Derive the Z transform for X(n) =u(-n-2) and X(n)=n*u(n) [04]
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(c) Prove shifting and linearity properties of z transform. [07]Q.4 (a) Show relationship between Z transform and DFT. [03]
(b) Determine the causal signal x(n) having the z-transform X(Z)= 1/(1 - (1/2)Z-1) [04]
(c) Prove differentiation and convolution properties of z transform. [07]
Q.5 (a) Compare DTFT with DFT. [03]
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(b) Calculate 4 point DFT of X(n)={0,1,2,3} [04](c) List out the properties of DFT prove the symmetry property for DFT. [07]
Q.6 (a) Prove linearity property of DFT. [03]
(b) Find IDFT of given sequence X(k)={12, -4+j4, -4, -4-j4} [04]
(c) Find circular convolution of the sequences x(n)={1,2,3,4} and h(n)={2,1,2,1}. [07]
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Q.7 (a) Explain term ‘radix’ for FFT algorithm [03]
(b) Explain Low pass and high pass filter. [04]
(c) Explain Impulse Invariance Method for IIR filter design [07]
Q.8 (a) Enlist difference between FIR and IIR Filter. [03]
(b) Explain windowing Method for FIR filter design in brief. [04]
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(c) Explain Radix-2 Decimation In Time FFT algorithm. [07]--- Content provided by FirstRanker.com ---
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