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Digital Signal Processing Exam

This document provides details of a digital signal processing unit test, including: - Part A contains 5 short answer questions worth 2 marks each about signal representations, FIR filter design methods, and pole locations. - Part B contains 2 long answer questions worth 8-12 marks each about designing FIR filters using the frequency sampling method and windowing techniques. - Students have 90 minutes to complete the test, which is out of a total of 50 marks. Good luck is wished to all students taking the test.

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276 views2 pages

Digital Signal Processing Exam

This document provides details of a digital signal processing unit test, including: - Part A contains 5 short answer questions worth 2 marks each about signal representations, FIR filter design methods, and pole locations. - Part B contains 2 long answer questions worth 8-12 marks each about designing FIR filters using the frequency sampling method and windowing techniques. - Students have 90 minutes to complete the test, which is out of a total of 50 marks. Good luck is wished to all students taking the test.

Uploaded by

manojniranj
Copyright
© Attribution Non-Commercial (BY-NC)
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as RTF, PDF, TXT or read online on Scribd
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Department of Bio-Medical Engineering

Unit Test – II BM2305


Subject: DIGITAL SIGNAL PROCESSING
Date: 23.08.2009 (8:15AM – 9:45 AM)
Max Marks: 50

Part A (5 x 2 = 10 marks)
1. Express the fraction (-7/32) in signed magnitude, one’s complement and two’s complement notation using
6 bits excluding sign bit.
2. Why rectangular windows are not used in FIR filter design using window method?
3. Compare fixed point arithmetic and floating point arithmetic?
4. Consider the transfer function H (Z) =1.0/ (1-0.94Z-1+0.64Z-2).Find the pole location and effect of
rounding to 3 bits excluding the sign bit.
5. In the design of FIR filters how Kaiser Window differs from all the other windows?
Part B (Q.no.6 is compulsory) 40 MARKS
6. Describe the design of FIR filters using frequency sampling method? (8MARKS)
7. a) i) The desired frequency response of a LPF is given by (8MARKS)
H D (ejw) = e-j2w, 0 < |w| < pi/4

0 elsewhere
Determine the filter coefficients and frequency response using rectangular window. (8MARKS)
ii) Design an ideal differentiator using Hamming window for N=3.
(OR)
b) i) Determine the coefficients of a linear Phase FIR filter of length N=15 which has a symmetric unit
sample response that satisfies the condition: (12 MARKS)
H (2pik/15) = 1; for k=0, 1, 2, 3
0.4; for k=4
0; for k=5, 6, 7
ii) Determine the frequency response of FIR filter defined by y (n) =0.25x (n) +x (n-1) +0.25x (n-2).
Calculate the phase delay and group delay (4 MARKS)

8. a)i)An IIR causal filter has the system function H(Z)=Z/(Z-0.97).Assume that the input signal is zero
valued and computed output signal values are rounded to one decimal place. Show that under these
conditions, the filter output exhibits dead band effect. What is the dead band range? (7MARKS)
ii) An 8 bit ADC feeds a DSP system characterized by the following transfer function H (Z) =1/ (Z+0.5).
Estimate the steady state quantization noise power at the output of the system. (7MARKS)
iii) What is the necessary and sufficient condition for the filter to exhibit linear phase symmetry? (2 marks)
(OR)
b) i)For the given transfer function H(z)=H1(z)H2(z) where H1(z)=1/(1-0.5z-1) and H2(z)=1/(1-0.4z-1),Find the
output round off noise power. Calculate the value if b=3 (excluding sign bit) (8MARKS)
ii) Repeat the above problem if the system is realized in direct form (8MARKS)

*************************** ALL THE BEST******************************


Prepared By Verified By Approved By

P.ManojNiranjan Dr.MallikaJainu Dr. N.Sriraam


AP, BME AP, BME Prof & Head - BME
IsoCoordinator

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