This section contains documents created from scanned original files and other documents that could not be made accessible to screen reader software. A "#" symbol is used to denote such documents.
Instructor
Prof. Steven R. Hall
Learning Objectives
16.01-02 Signals and Systems (PDF)
16.03-04 Signals and Systems (PDF)
Textbooks
16.01-16.02
Edwards, C. H., and David E. Penney. Elementary Differential Equations with Boundary Value Problems. 4th ed. Englewood Cliffs, NJ: Prentice Hall, 1999. ISBN: 0130113018.
16.03-16.04
Oppenheim, Alan, Alan Willsky, and S. Hamid Nawab. Signals and Systems. 2nd ed. Englewood Cliffs, NJ: Prentice Hall, 1996. ISBN: 0138147574.
This book treats both continuous-time and discrete-time signals and systems, whereas this course deals almost exclusively with continuous-time signals. Students may generally ignore sections in the assigned reading on discrete-time systems. However, some of the explanations given in the continuous-time sections are given as analogies to or limits of the discrete-time cases, so students will have some familiarity with the discrete-time notation.
Table Organization
16.01-16.02
Signals/Systems.
| LEC # |
TOPICS |
CONCEPT QUESTIONS |
MUDDY POINTS |
READINGS |
ASSIGNMENTS / SOLUTIONS |
| S1 |
Overview of Signals and Systems, Circuit Elements |
(PDF) |
(PDF) |
S1 Notes (PDF)#
Linear Algebra Supplement (PDF) |
Problem S1 (PDF)
Solution S1 (PDF)# |
| S2 |
Circuit Elements (cont.), Kirchhoff's Laws |
(PDF) |
(PDF) |
S2 Notes (PDF)# |
Problem S2 (PDF)
Solution S2 (PDF)# |
| S3 |
Kirchhoff's Laws (cont.), Circuit Analysis |
|
(PDF) |
S3 Notes (PDF)# |
Problem S3 (PDF)
Solution S3 (PDF)# |
| S4 |
The Node Method |
(PDF) |
(PDF) |
S4 Notes (PDF)# |
Problem S4 (PDF)
Solution S4 (PDF)# |
| S5 |
The Loop Method |
(PDF) |
(PDF) |
S5 Notes (PDF)# |
Problem S5 (PDF)
Solution S5 (PDF)# |
| S6 |
Thevenin and Norton Equivalent Networks |
(PDF) |
(PDF) |
S6 Notes (PDF)#
Node and Loop Method Supplement (PDF) |
|
| S7 |
Energy Storage Elements, Networks with Capacitors |
(PDF) |
(PDF) |
S7 Notes (PDF) |
Problem S7 (PDF)
Solution S7 (PDF)# |
| S8 |
Time Response of RC Networks |
(PDF) |
(PDF) |
S8 Notes (PDF) |
Problem S8 (PDF)
Solution S8 (PDF)# |
| S9 |
Circuits with Inductors and Capacitors |
(PDF) |
(PDF) |
S9 Notes (PDF)# |
Problem S9 (PDF)
Solution S9 (PDF)# |
| S10 |
Impedance Methods, The Concept of "State", State Equations |
(PDF) |
(PDF) |
S10 Notes (PDF) |
Problem S10 (PDF)
Solution S10 (PDF)# |
| S11 |
Homogenoeus State Equations |
(PDF) |
(PDF) |
S11 Notes (PDF)#
Edwards, et al. Section 5.4. |
Problem S11 (PDF)
Solution S11 (PDF)# |
| S12 |
More on Finding State Equations, Eigenvalues and Eigenvectors |
(PDF) |
(PDF) |
S12 Notes (PDF)# |
Problem S12 (PDF)
Solution S12 (PDF)# |
| S13 |
Solving State Equations Using Eigenvalues and Eigenvectors |
(PDF) |
(PDF) |
S13 Notes (PDF)# |
Problem S13 (PDF)
Solution S13 (PDF)# |
| S14 |
State Equations for Circuits with Sources |
(PDF) |
(PDF) |
S14 Notes (PDF)#
Transfer Function Supplement (PDF)# |
Problem S14 (PDF)
Solution S14 (PDF)# |
| S15 |
Quiz Discussion |
|
|
|
|
16.03-16.04
Signals/Systems.
| LEC # |
TOPICS |
CONCEPT QUESTIONS |
MUDDY POINTS |
READINGS |
ASSIGNMENTS / SOLUTIONS |
| S1 |
Linear, Time-Invariant Systems, The Step Response |
(PDF) |
(PDF) |
S1 Notes (PDF)#
Oppenheim, et al. Chapter 1. |
Problem S1 (PDF)
Solution S1 (PDF)# |
| S2 |
Duhamel's Integral |
(PDF) |
(PDF) |
S2 Notes (PDF)#
Oppenheim, et al. Section 2.0-2.2. |
Problem S2 (PDF)
Solution S2 (PDF)# |
| S3 |
Duhamel's Integral (cont.) |
(PDF) |
(PDF) |
S3 Notes (PDF)# |
Problem S3 (PDF)
Solution S3 (PDF)# |
| S4 |
Impulse Response, Superposition Integral |
(PDF) |
(PDF) |
S4 Notes (PDF)# |
Problem S4 (PDF)
Solution S4 (PDF)# |
| S5 |
Convolution and LTI Systems |
(PDF) |
(PDF) |
S5 Notes (PDF)# |
Problem S5 (PDF)
Solution S5 (PDF)# |
| S6 |
Properties of the Impulse, Properties of Convolution |
(PDF) |
(PDF) |
S6 Notes (PDF)# |
Problem S6 (PDF)
Solution S6 (PDF)# |
| S7 |
Graphical Interpretation of Convolution |
(PDF) |
(PDF) |
S7 Notes (PDF)# |
Problem S7 (PDF)
Solution S7 (PDF)# |
| S8 |
Response to Exponential Inputs, The Unilateral Laplace Transform |
(PDF) |
(PDF) |
S8 Notes (PDF)# |
Problem S8 (PDF)
Solution S8 (PDF) |
| S9 |
Selected Laplace Transforms |
(PDF) |
(PDF) |
S9 Notes (PDF)# |
Problem S9 (PDF)
Solution S9 (PDF) |
| S10 |
Properties of the LT, Analysis of Systems Using LTs |
(PDF) |
(PDF) |
S10 Notes (PDF)# |
Problem S10 (PDF)
Solution S10 (PDF) |
| S11 |
Partial Fraction Expansions |
|
(PDF) |
S11 Notes (PDF)#
Phugoid Supplement (PDF) |
Problem S11 (PDF)
Solution S11 (PDF) |
| S12 |
BIBO Stability and the Region of Convergence |
(PDF) |
(PDF) |
S12 Notes (PDF)# |
Problem S12 (PDF)
Solution S12 (PDF) |
| S13 |
The Bilateral Laplace Transform |
(PDF) |
(PDF) |
S13 Notes (PDF)# |
Problem S13 (PDF)
Solution S13 (PDF)# |
| S14 |
Examples of the Bilateral LT, The Inverse Laplace Transform |
(PDF) |
(PDF) |
S14 Notes (PDF)# |
Problem S14 (PDF)
Solution S14 (PDF)# |
| S15 |
BIBO Stability and the Bilateral LT, The Fourier Transform |
(PDF) |
(PDF) |
S15 Notes (PDF)#
Oppenheim, et al. Chapter 4. |
Problem S15 (PDF)
Solution S15 (PDF)# |
| S16 |
The Fourier Transform (cont.), Fourier Transform Properties |
(PDF) |
(PDF) |
S16 Notes (PDF)#
Oppenheim, et al. Chapter 4. |
Problem S16 (PDF)
Solution S16 (PDF) |
| S17 |
The Fourier Transform of Special Functions, Convolutions and the FT |
(PDF) |
(PDF) |
S17 Notes (PDF)# |
Problem S17 (PDF)
Solution S17 (PDF) |
| S18 |
Modulation, AM-DSB/SC |
(PDF) |
(PDF) |
S18 Notes (PDF)# |
Problem S18 (PDF)
Solution S18 (PDF)# |
| S19 |
AM-DSB/WC, Envelope Detection |
(PDF) |
(PDF) |
S19 Notes (PDF)# |
Problem S19 (PDF) |
| S20 |
Sampling |
(PDF) |
(PDF) |
S20 Notes (PDF)# |
Problem S20 (PDF) |
| S21 |
Measuring the Size of Signals, Parseval's Theorem |
(PDF) |
(PDF) |
S21 Notes (PDF)# |
Problem S21 (PDF)
Solution S21 (PDF) |
| S22 |
The Duration-Bandwidth Relations |
(PDF) |
(PDF) |
S22 Notes (PDF)# |
Problem S22 (PDF)
Solution S22 (PDF) |
| S23 |
The Duration-Bandwidth Relations (cont.), Loran-C Navigation |
(PDF) |
|
S23 Notes (PDF)# |
|