Quiz II Review
Signals and Systems
6.003
Massachusetts Institute of Technology
April 5, 2010
(Massachusetts Institute of Technology)
Quiz II Review
April 5, 2010
1 / 15
Quiz 2 Details
Date: Wednesday
6.003 (Spring 2010)
May 20, 2010
Final Examination
Name:
Kerberos Username:
Please circle your section number:
Section
1
2
3
4
Instructor
Time
Peter Hagelstein
Peter Hagelstein
Rahul Sarpeshkar
Rahul
6.003 (Fall 2009)
Final Examination
December 17, 2009
Name:
Kerberos Username:
Please circle your section number:
Section
1
2
3
4
Instructor
Time
Marc Baldo
Marc Baldo
Elfar Adalsteinsson
Elfar Adalst
6.003 (Fall 2009)
Final Examination
December 17, 2009
Name:
Kerberos Username:
Please circle your section number:
Section
1
2
3
4
Instructor
Time
Marc Baldo
Marc Baldo
Elfar Adalsteinsson
Elfar Adalst
6.003 (Fall 2007)
17 December 2007
Final exam
Name:
Please circle your section number:
Section
Instructor
Time
1
Jeffrey Lang
10
2
Jeffrey Lang
11
3
Karen Livescu
11
4
Sanjoy Mahajan
12
5
Antonio Torr
Final exam answers
1 Matching time and frequency representations
a.
1
A
5
0
C
0
D
10
BC
0
D
B
b.
5
A
c.
0
A
0
B
5
C
0
D
2 Discrete-time periodicity
Answer is 15.
3 Find the output signal
2
1
-2
-1
0
1
Discrete-time Signals and Systems
ii
Discrete-time Signals and Systems
An Operator Approach
Sanjoy Mahajan and Dennis Freeman
Massachusetts Institute of Technology
Typeset in Palatino and Euler by the
Discrete-time Signals and Systems
ii
Discrete-time Signals and Systems
An Operator Approach
Sanjoy Mahajan and Dennis Freeman
Massachusetts Institute of Technology
Typeset in Palatino and Euler by the
8
Proportional and derivative
control
8.1
8.2
8.3
8.4
8.5
Why derivative control
Mixing the two methods of control
Optimizing the combination
Handling inertia
Summary
95
96
98
99
103
The goals of
7
Control
7.1
7.2
7.3
7.4
Motor model with feedforward control
Simple feedback control
Sensor delays
Inertia
83
85
87
90
The goals of this chapter are to study:
how to use feedback to control a syste
Quiz III Review
Signals and Systems
6.003
Massachusetts Institute of Technology
April 26th, 2010
(Massachusetts Institute of Technology)
Quiz I II Review
April 26th, 2010
1 / 1
Quiz 3 Details
Date: W
6.003: Signals and Systems
Frequency Response
October 6, 2011
1
Review
Last time, we saw how a linear, time-invariant (LTI) system can be
characterized by its unit-sample/impulse response.
DT: y[n] =
S. Boyd
EE102
Lecture 6
Qualitative properties of signals & Laplace
transforms
qualitative behavior from pole locations
damping & quality factor
dominant poles
stability of autonomous LCCODEs
ini
S. Boyd
EE102
Lecture 14
Integral action
integral action
PI control
141
Proportional control
standard feedback control configuration:
PSfrag replacements
r
e
C
u
P
y
so far we have looked at proport
S. Boyd
EE102
Brief review of complex numbers
These notes collect some basic facts about complex numbers.
1
Representations
Imaginary and complex numbers
We start by introducing a symbol i that repres
6.003: Signals and Systems
Applications of Fourier Transforms
November 17, 2011
1
Filtering
Notion of a lter.
LTI systems
cannot create new frequencies.
can only scale magnitudes and shift phases of
6.003: Signals and Systems
Relations among Fourier Representations
November 15, 2011
1
Mid-term Examination #3
Wednesday, November 16, 7:30-9:30pm,
No recitations on the day of the exam.
Coverage:
Lec
6.003: Signals and Systems
Discrete-Time Frequency Representations
November 8, 2011
1
Mid-term Examination #3
Wednesday, November 16, 7:30-9:30pm,
No recitations on the day of the exam.
Coverage:
Lect
6.003: Signals and Systems
DT Fourier Representations
November 10, 2011
1
Mid-term Examination #3
Wednesday, November 16, 7:30-9:30pm,
No recitations on the day of the exam.
Coverage:
Lectures 118
Rec
6.003: Signals and Systems
Fourier Transform
November 3, 2011
1
Last Time: Fourier Series
Representing periodic signals as sums of sinusoids.
new representations for systems as lters.
Today: generali
6.003: Signals and Systems
Fourier Series
November 1, 2011
1
Last Time: Describing Signals by Frequency Content
Harmonic content is natural way to describe some kinds of signals.
Ex: musical instrumen
6.003: Signals and Systems
Fourier Representations
October 27, 2011
1
Fourier Representations
Fourier series represent signals in terms of sinusoids.
leads to a new representation for systems as lter
6.003: Signals and Systems
CT Feedback and Control
October 25, 2011
1
Mid-term Examination #2
Tomorrow, October 26, 7:30-9:30pm,
No recitations on the day of the exam.
Coverage:
Lectures 112
Recitatio
6.003: Signals and Systems
CT Feedback and Control
October 20, 2011
1
Mid-term Examination #2
Wednesday, October 26, 7:30-9:30pm,
No recitations on the day of the exam.
Coverage:
Lectures 112
Recitati
6.003: Signals and Systems
Feedback and Control
October 13, 2011
1
Courtesy of Jason Dorfman MIT / CSAIL. Used with permission.
2
Example: Perching
Can we make a xed-wing UAV land on a perch like a bi