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DSP Exam

This document contains instructions for a digital signal processing exam with 12 questions. Students must answer 10 questions that cover topics like: 1. Finding the Z-transform and region of convergence for discrete time signals 2. Determining system functions, impulse responses, and stability for difference equations 3. Calculating the discrete Fourier transform and using its properties 4. Realizing second order systems in direct form II 5. Designing linear phase and Fourier series FIR filters 6. Designing Butterworth and Chebyshev IIR filters using bilinear transformation 7. Explaining very long instruction word architecture

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474 views2 pages

DSP Exam

This document contains instructions for a digital signal processing exam with 12 questions. Students must answer 10 questions that cover topics like: 1. Finding the Z-transform and region of convergence for discrete time signals 2. Determining system functions, impulse responses, and stability for difference equations 3. Calculating the discrete Fourier transform and using its properties 4. Realizing second order systems in direct form II 5. Designing linear phase and Fourier series FIR filters 6. Designing Butterworth and Chebyshev IIR filters using bilinear transformation 7. Explaining very long instruction word architecture

Uploaded by

S. Magidi
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Summer Term End Examination - July 2013

Class NBR : 1010 Slot : B


Course Code : ECE303
Course Title : Digital Signal Processing
Time : Three Hours Max.Marks:100
Answer any TEN Questions
(10 X 10 = 100 Marks)
1. Find the Z Transform of the following discrete time signals and also find the ROC for
each.
(a) (1 / 3.5) n u (n) + 5(1 / 2.9) n u ( n 1)
(b) x ( n) = u ( n 4)

2. Find the system function & Impulse response of the system described by the equation
y ( n) = 1 / 5 y ( n 1) + x ( n)

3. Consider the system described by the difference equation


y(n) - 2y(n-1) + 2y(n-2) = x(n) + x(n-1)
a) Find the system function H(z).
b) Find the stability of the system
c) Determine the unit sample response of the system
4. Find the DFT of a sequence
x(n) = 1 for 0 n 3
= 0 ; Otherwise For N=8
5. Find the DFT of the sequence {1,1,1,1,2,2,2,2} using radix-2 Decimation-in- Frequency
FFT.
6. Let x(n) be a finite length sequence with . Using the
properties of DFT, find DFTs of the following sequences:

a) using Circular frequency shift property

b) using Circular time shift property

7. Realize the Second order system y (n) = 2r cos( w) y (n 1) r 2 y (n 2) + x(n) r cos( w) x(n 1) in
Direct Form II.
8. Design a linear phase FIR Band Pass Filter to pass frequencies in the range 0.4 to
0.65 rad/sample by taking 7 samples of Hanning Window.
9. Design a FIR High pass filter with cut-off frequency of 1.5 KHz and sampling frequency
of 5 KHz with 7 samples using Fourier Series method. Determine the frequency
response.

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10. DESIGN A BUTTERWORTH IIR FILTER WITH THE FOLLOWING SPECIFICATIONS
0.8 |H (ejw)| 1 0 0.2
|H (ejw)| 0.2 0.6
Use Bilinear Transformation method.
11. An IIR digital low-pass filter is required to meet the following specifications.
Pass band ripple 0.5 dB
Pass band edge: 1.2 KHz
Stop band attenuation 40 dB
Stop band edge: 2 KHz
Sample rate: 8 KHz
Determine the required filter order for (i) Digital Butterworth filter
(ii) Digital chebyshev filter.
12. Explain VLIW architecture in detail.

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