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.
16.01-16.02
| 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
| 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) |
