EE253, Fall 2011
Prof. Essam Marouf
DSP I
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Homework # 6
To be Completed by Wed November 9, 2011
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Midterm Exam #2
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Monday November 14, 2011, 4:30-
5
:45 pm, ENG 303
Two new 8.5”x11” front and back summary sheets allowed, plus the two old summary sheets
from Midterm #1 (4 total).
No other course material is allowed.
Covers Lectures 8 to 13, Homework
#4, #5, and #6, and related reading assignments
Three Questions, multiple parts; all answers are to be included in the exam book
Sample exam & the solutions will be posted on the class website
NO MAKE-UP EXAMS ARE GIVEN
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1) Determine
H
(
z
) of a multi-notch IIR digital notch filter that notches out the DC, the
fundamental frequency
ω
0
=
π
/3 and its harmonics.
Assume a 3 dB notch bandwidth
Δω
=
/10.
Use Matlab to plot the poles-zero diagram, the magnitude response, the phase response, and the
group-delay response over the range 0
≤
≤
.
Problems from O&S Chs. 5 & 6 (Please read Secs. 5.1-5.3, 5.5, 6.0-6.4)
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2)
a) 5.36 (Ed. 3), attached.
b) 5.45 (Ed. 3), attached.
3)
a) 5.19 (Eds. 2 & 3).
b) 5.44 (Ed. 3), attached.
4)
a) 5.20 (Eds. 2 & 3).
b) 5.47 (Ed. 3), attached.
5)
a) 6.20 (Eds. 2 & 3)
b) 6.26 (Eds. 2 & 3)
6)
a) 6.25 (Ed. 3), attached
b) 6.26 (Ed. 3), attached