The following calendar reflects topics covered in
class and discussions.
On
any day, the list of topics is final for all lectures that have already
taken place.
The contents of future
lectures and the dates of home assignments are
tentative
Week 1
Lecture 1 8/30 Syllabus, course
organization, prerequisites.
Problem set 0
Discussion 1: No meeting (Labor day)
Week 2
Lecture 2 9/4
Prerequisites (cont'd). Sect.1.2. Energy and power signals. Sect.1.1.
Lecture 3 9/6 Unit impulse,
unit step. Even and odd signals. Sect.1.4,1.5.
Problem set 1
Discussion 2:
Prerequisites in calculus
and basic math. Signal models.
Week 3
Lecture 4 9/11 Systems
and their properties. Sect.1.7. Reading assignment: Examples, Sect.1.8.
Lecture 5 9/13 Response of
linear systems. Unit impulse response. Sect.2.3, 2.3.
Problem set 2
Discussion 3: Systems and their properties. Memorylessness, Causality, Invertibility, Stability, Time Invariance & Linearity
Week 4
Lecture 6 9/18 Unit impulse
response for DT systems. Convolution sum. Sect.3.1,3.2 (pp.245-253).
Lecture 7 9/20 Convolution
integral Sect.2.4.1-2.4.3. Problem set 3
Discussion 4: Impulse response. Examples of computing the convolution Integral.
Week 5
Lecture 8 9/25 Stability of
LTI systems. Sect. 2.6.
Lecture 9 9/27 Resonsance
(Sect.2.7-7). Forced and natural response (Sect. 2.5). Discrete-time signals.
(Sect.3.1-3.3) Problem set 4
Discussion 5: Linear systems described by differential equations and computing their Impulse response. Computing the Zero-input and Zero-state response.
Week 6
Lecture -- 10/2
No class
Lecture 10 10/4 Discrete-time
systems (Sect.3.3-3.6)
Discussion 6: Linear systems described by difference equations and computing their impulse response. Zero-state and Zero-input response.
Week
7
Lecture 11 10/9 Unit
impulse response of discrete-time systems. Zero state response. (Sect. 3.7-3.8,
slides lect2-3)
Lecture 12 10/11 Characteristic
modes; unit impulse response (slides
lect2-3)
Discussion 7: Convolution sum. Graphical computation continued. Similarities of Continuous time and Discrete time systems
Week
8
Midterm 1 10/16
Lecture 13 10/18
Block diagram representation of discrete-time systems. Impulse
response. (Slides, Lect.2-3)
Discussion 8: Review of Midterm 1, Laplace transform: Properties, ROC
Week
9
Lecture 14
10/23
Block diagram representation of continuous-time systems. The Laplace
transform (slides, lect. 4,5)
Lecture 15 10/25
Properties of the Laplace transform. (Sect.4.3, Slides Lect.5)
Problem set 5
Discussion 9: Laplace transform: Solution of differential equations, Transfer functions of LTI systems
Week 10
Lecture -- 10/30
Sandy, no class
Lecture 16 11/1 Analysis
of LTIC systems using the Laplace transform (Sect.4.3)
Discussion 10: Inverse Laplace transform, Frequency Response of LTI systems
Week
11
Lecture 17 11/6
Frequency response (Sect. 4.8, 4.9,
slides lect.9)
Lecture 18 11/8 Frequency
response. Bode plots (Sect. 4.8-4.9,
slides lect.10)
Discussion
11: Bode Plots, Filter design by pole-zero placement
Week
12
Lecture 19 11/13 Bode
plots. Filter design (Sect.4.10)
Midterm
2
11/15
Discussion 12: Z-transform, ROC, LTI system analysis using Z-transform
Week
13
Lecture 20 11/20
z-transform (Sect. 5.1-5.3)
Thanksgiving break
11/21-24
Discussion 13: Inverse Z-transform, solution of Difference Equations using Z-transform
Week 14
Lecture 21 11/27
Properties of z-transform. (Sect. 5.2)
Lecture 22
11/29 Use of z-transform for the analysis of discrete-time LTI systems and
finite difference equations (Sect. 5.3,
slides lect. 6
)
Discussion 14: Fourier series, Fourier transform, Parseval's Theorem, Duality, Bandwidth, Sampling Theorem
Week 15
Lecture 23
12/4 Fourier representations and Fourier series (Sect. 6.1, 6.2, 6.5-4;
slides Lect. 14)
Lecture 24
12/6
Fourier series (Sect. 6.3). Fourier Transform (Sect. 7.1,7.2)
Discussion 15: Sample problems from Fourier transform and Fourier series
Week 16
Lecture 25 12/11 Fourier
Transform (Sect. 7.3,7.6)
Final Exam December
13, 8:00-10:00am, usual class room CHE2116