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1. Consider!the!filter!with!transfer!function!given!by:! 1 " z !1 H ( z) # ! 1 ! 0.9 z !1 i. ii. iii. Determine!the!impulse!response!for!a!causal!implementation.!Is!t
University of Minnesota
Department of Electrical and Computer
Engineering
Fall 2011 Midterm Exam 1 (Sample) Solutions
EE 4541 Digital Signal Processing
STUDENT NAME:
STUDENT ID:
This booklet contains: 10 pages (including title page)
Time allowed: 75 minut
University of Minnesota
Department of Electrical and Computer
Engineering
Fall 2011 Midterm Exam 1 (Sample)
EE 4541 Digital Signal Processing
STUDENT NAME:
STUDENT ID:
This booklet contains: 6 pages (including title page)
Time allowed: 75 minutes
INSTRUCT
University of Minnesota
Department of Electrical and Computer
Engineering
Fall 2011 Midterm Exam 1 Solution
EE 4541 Digital Signal Processing
STUDENT NAME:
STUDENT ID:
This booklet contains: 12 pages (including title page)
Time allowed: 75 minutes
INSTRUC
HW9EE4541
1 of 3
file:/C:/Documents%20and%20Settings/Kshiteesh%20Hegde/My%20.
Contents
Given Analog filter
Digital Filter using Impulse Invariance
Digital Filter using Bilinear Transformation
Given Analog filter
nums= [1 0.1];
dens = [1 0.2 9.01];
sys=tf(
EE 4541 Assignment 11 Thursday December 8, 2011
Page 1 of 1.
Reading Assignment: Read Sec. 7.5 - 7.8 for homework and Sec. 8.1 - 8.5 for
lecture next week.
1. Problem 7.39 O&S.
2. Problem 7.44 O&S. Use MATLAB as necessary.
3. Problem 7.45 O&S.
4. Problem
EE 4541 Problem Set 9 Due Thursday November 17, 2011
Page 1 of 1.
Reading Assignment: Sec. 7.1 - 7.4 for HW. Sec. 7.5 - 7.7 for FIR lter design.
1. Problem 7.28 O&S.
2. Problem 7.30 O&S.
3. Problem 7.33 O&S.
4. Problem 7.49 O&S.
5. Problem 7.50 O&S.
6. Co
EE 4541 Problem Set 8 Due Thursday Nov 10, 2011
Page 1 of 1.
Reading Assignment: Read Chapter 5 O&S for homework. Read Sec. 7.1 - 7.3
for lectures week of Nov. 7.
1. Problem 5.57 O&S.
2. Problem 5.64 O&S.
3. Problem 5.66 O&S.
4. Problem 5.70 O&S (Graduate
EE 4541 Problem Set 7 Due Thursday Nov 3, 2011
Page 1 of 1.
Reading Assignment: Read Chapter 5 O&S for homework. Read Sec. 7.1 - 7.3
for lectures week of October 31.
1. Problem 5.27 O&S.
2. Problem 5.34 O&S.
3. Problem 5.37 O&S.
4. Problem 5.40 O&S.
5. Pr
EE 4541 Problem Set 6 Due Thursday Oct 27, 2011
Page 1 of 1.
Reading Assignment: Read Sec. 4.6 4.9 O&S for homework. Read Sec. 5.1
5.5 O&S for lectures week of October 25.
1. Problem 4.39 O&S.
2. Problem 4.43 O&S.
3. Problem 4.63 O&S.
4. Problem 4.67 O&S
EE 4541 Problem Set 5 Not Due
Page 1 of 1.
Reading Assignment: Read Sec. 2.10, 4.1 - 4.5, and 4.8 O&S for homework.
Review Lecture on Tuesday and Exam on Thursday.
1. Problem 4.44 O&S.
2. Problem 4.47 O&S.
3. Problem 4.62 O&S.
4. Problem 4.63 O&S.
EE 4541 Problem Set 4 Due October 6, 2011
Page 1 of 1.
PART A Reading Assignment
For Homework: Sec. 4.1 - 4.4 O & S for homework.
For Lecture: Appendix A and Section 2.10 O & S for lecture on Thursday.
PART B Problems
1. Problem 4.22 O&S.
2. Problem 4.23
EE 4541 Problem Set 3 Due Septemer 29, 2011
Page 1 of 1.
Reading Assignment: Chapter 3 O & Sfor HW. Sections 4.1 - 4.5 O & Sfor next
week lecture.
1. Problem 3.48 O&S.
2. Problem 3.51 O&S.
3. Problem 3.53 O&S.
4. Problem 3.54 O&S.
5. Problem 3.57 O&S.
6.
EE 4541 Problem Set 2 Due September 22, 2011
Page 1 of 2.
Reading Assignment: Sections 2.6 - 2.10 O & S
1. Problem 2.44 O&S.
2. Problem 2.47 O&S.
3. Problem 2.53 O&S.
4. Problem 2.56 O&S.
5. Problem 2.63 O&S.
6. Problem 2.71 O&S.
7. Problem 2.84 O&S.
8. P
EE 4541 Problem Set 1 Due Septemer 15, 2011
Reading Assignment: Sections 2.1 - 2.5 O & S
1. Problem 2.23 O & S. Review Problem. Do not turn in.
2. Problem 2.24 O & S. Review Problem. Do not turn in.
3. Problem 2.29 O & S.
4. Problem 2.31 O & S.
5. Problem
EE 4541 Problem Set 10 Thursday December 1, 2010
Page 1 of 4.
Reading Assignment: Read Sec. 7.1 - 7.4 (and Chapter 4)for homework and Sec.
7.5 - 7.8 for FIR lter design.
1. Consider the following system
Midterm 2 Fall 2011:
L
x[n]
y1 [n]
h[n]
M
L
h[n]
(1)
University of Minnesota
Department of Electrical and Computer
Engineering
Fall 2011 Midterm Exam 2 (Sample)
EE 4541 Digital Signal Processing
STUDENT NAME:
STUDENT ID:
This booklet contains: 9 pages (including title page)
Time allowed: 75 minutes
INSTRUCT
EE 4541 Digital Signal Processing Summer, 2012
Homework Assignment 1 Due: Friday, June 22
1. Let y[n]be the sequence obtained by a linear convolution of h[n]and x[n], where all 3
sequences begin at n = 0. The sequences y[n]and h[n]are as follows:
y[n] = c
Digital Filter Structures
The convolution sum description of an LTI
discrete-time system can, in principle, be
used to implement the system
For an IIR finite-dimensional system this
approach is not practical as here the impulse
response is of infinite l
EE 4541 Digital Signal Processing Summer Session, 2011
Final Exam (12:20 2:15 PM)
Closed book, closed notes, no calculators, no electronic devices
Two 8.5x11 information sheets allowed.
NOTE: Be sure to clearly show how you obtained your answer to each qu
EE 4541 — Digital Signal Processing — Summer Session, 2011
Midterm Exam Solutions
1. h [n] = {—2, —4, —6} (must show how these values are obtained)
2.
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Hi/Z.>: l-— 2'2
Z I- (8(;+~002”’+¢z2‘z
a H1(%>IZ:( :2 H1160) 4.: 0
M7GC
TM Sec/end Q’HEV—
EE 4541 Digital Signal Processing Summer Session, 2010
Midterm Exam (12:20 2:15 PM)
Closed book, closed notes, no calculators, no electronic devices.
One 8.5x11 information sheet allowed.
NOTE: Be sure to clearly show how you obtained your answer to each
L+SL+| —~ Fm! Exam gatufwn8~gumuaolr
1. The function residuez oa1culates the following partial fraction expansion: The column vector of residues, 1:, will contain the 3 values: —1 , 2 , -3 (in some order)
The transpose of this vector, rt, will be a row ve
EE 4541 Digital Signal Processing Summer Session, 2011
Midterm Exam (12:20 2:15 PM)
Closed book, closed notes, no calculators, no electronic devices.
One 8.5x11 information sheet allowed.
NOTE: Be sure to clearly show how you obtained your answer to each
EE 4541 Digital Signal Processing Summer Session, 2012
Midterm Exam (12:20 2:15 PM)
Closed book, closed notes, no calculators, no electronic devices.
One 8.5x11 information sheet allowed.
NOTE: Be sure to clearly show how you obtained your answer to each
EE 4541 Digital Signal Processing Summer Session, 2012
Final Exam (12:20 2:15 PM)
Closed book, closed notes, no calculators, no electronic devices
Two 8.5x11 information sheets allowed.
NOTE: Be sure to clearly show how you obtained your answer to each qu
