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Seat No.: Enrolment
GUJARAT TECHNOLOGICAL UNIVERSITY
ME SEMESTER II EXAMINATION SUMMER 2017
Subject Code: 1720702 Date:10/05/2017
Subject Name: Digital Signal Processing
Time: 10:30 A.M. to 01:00 P.M. Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1

Explain block diagram of a typical DSP system. Differentiate between digital signal processing and analog signal processing. State various application of
DSP.
07

Define z-transform. Explain and prove the following properties of Z-transform. Time shifting Time reversal.
07
Q.2

Find the Z transform of the following signals and sketch ROC.


07

Determine the inverse Z-Transform by power series expansion method
When ROC: 1 and <0.5
07
OR

Determine all possible inverse Z-Transforms by partial fraction expansion method:
07
Q.3

Determine the impulse response of LTI system described by their constant coefficient differential equation.

07

Consider the analog resonator having system function
Convert into digital IIR filter using Bilinear transformation. The digital filter is to have a resonant frequency of ωr
07
OR
Q.3

List various kinds of windows used for filter design. Explain any one window in detail with example.
07

Draw direct form I and II realization of a system described by




07
Q.4

List the properties of DFT. Prove any two properties
07

Compute 8 point DFT of sequence and sketch the spectrum.
07
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OR
Q.4

Discuss decimation in frequency FFT algorithm for radix-2.
07

Perform the circular convolution of following two sequences

07
Q.5

Explain comb filter.
07

Explain the application of DSP in image processing
07
OR
Q.5

In which way DSP-processors are different from general purpose processors. With the help of a neat sketch, explain Digital Signal Processor architecture.
07

Explain the application of DSP in voice processing.
07