EE253_F11_HW6

# EE253_F11_HW6 - EE253 Fall 2011 Prof Essam Marouf DSP...

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EE253, Fall 2011 Prof. Essam Marouf DSP I --------------------------------------------------------------------------------------------------------------------- Homework # 6 To be Completed by Wed November 9, 2011 ---------------------------------------------------------------- Midterm Exam #2 ------------------------ 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 -------------------------------------------------------------------------------------------------------------------- 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) -------------------------------------------------------------------------------------- 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

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EE253, Homework #6 (cont.) 2 Matlab Part: --------------- 1- Lecture 11B in your class notes includes examples of several IIR filter types. In this problem you reproduce some of the results there using Matlab. For each of the cases below, use Matlab to plot the pole/zero diagram (using the Matlab function ‘zplane’), the magnitude and phase of the frequency response (using ‘freqz’), and the filter output for the given input (using ‘filter’). Type and read the help file for the Matlab functions you use in this problem (in the command window type ‘help filter’, for example).
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## This note was uploaded on 11/28/2011 for the course EE 253 at San Jose State.

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EE253_F11_HW6 - EE253 Fall 2011 Prof Essam Marouf DSP...

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