Signals and Systems

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

Buy at Amazon 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

Buy at Amazon 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

LEC # TOPICS CONCEPT QUESTIONS MUDDY POINTS READINGS ASSIGNMENTS / SOLUTIONS
S1 Overview of Signals and Systems, Circuit Elements (PDF) (PDF) S1 Notes (This resource may not render correctly in a screen reader.PDF)

Linear Algebra Supplement (PDF)		 Problem S1 (PDF)

Solution S1 (This resource may not render correctly in a screen reader.PDF)
S2 Circuit Elements (cont.), Kirchhoff's Laws (PDF) (PDF) S2 Notes (This resource may not render correctly in a screen reader.PDF) Problem S2 (PDF)

Solution S2 (This resource may not render correctly in a screen reader.PDF)
S3 Kirchhoff's Laws (cont.), Circuit Analysis   (PDF) S3 Notes (This resource may not render correctly in a screen reader.PDF) Problem S3 (PDF)

Solution S3 (This resource may not render correctly in a screen reader.PDF)
S4 The Node Method (PDF) (PDF) S4 Notes (This resource may not render correctly in a screen reader.PDF) Problem S4 (PDF)

Solution S4 (This resource may not render correctly in a screen reader.PDF)
S5 The Loop Method (PDF) (PDF) S5 Notes (This resource may not render correctly in a screen reader.PDF) Problem S5 (PDF)

Solution S5 (This resource may not render correctly in a screen reader.PDF)
S6 Thevenin and Norton Equivalent Networks (PDF) (PDF) S6 Notes (This resource may not render correctly in a screen reader.PDF)

Node and Loop Method Supplement (PDF)		  
S7 Energy Storage Elements, Networks with Capacitors (PDF) (PDF) S7 Notes (PDF) Problem S7 (PDF)

Solution S7 (This resource may not render correctly in a screen reader.PDF)
S8 Time Response of RC Networks (PDF) (PDF) S8 Notes (PDF) Problem S8 (PDF)

Solution S8 (This resource may not render correctly in a screen reader.PDF)
S9 Circuits with Inductors and Capacitors (PDF) (PDF) S9 Notes (This resource may not render correctly in a screen reader.PDF) Problem S9 (PDF)

Solution S9 (This resource may not render correctly in a screen reader.PDF)
S10 Impedance Methods, The Concept of "State", State Equations (PDF) (PDF) S10 Notes (PDF) Problem S10 (PDF)

Solution S10 (This resource may not render correctly in a screen reader.PDF)
S11 Homogenoeus State Equations (PDF) (PDF) S11 Notes (This resource may not render correctly in a screen reader.PDF)

Edwards, et al. Section 5.4.		 Problem S11 (PDF)

Solution S11 (This resource may not render correctly in a screen reader.PDF)
S12 More on Finding State Equations, Eigenvalues and Eigenvectors (PDF) (PDF) S12 Notes (This resource may not render correctly in a screen reader.PDF) Problem S12 (PDF)

Solution S12 (This resource may not render correctly in a screen reader.PDF)
S13 Solving State Equations Using Eigenvalues and Eigenvectors (PDF) (PDF) S13 Notes (This resource may not render correctly in a screen reader.PDF) Problem S13 (PDF)

Solution S13 (This resource may not render correctly in a screen reader.PDF)
S14 State Equations for Circuits with Sources (PDF) (PDF) S14 Notes (This resource may not render correctly in a screen reader.PDF)
Transfer Function Supplement (This resource may not render correctly in a screen reader.PDF)		 Problem S14 (PDF)

Solution S14 (This resource may not render correctly in a screen reader.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 (This resource may not render correctly in a screen reader.PDF)

Oppenheim, et al. Chapter 1.		 Problem S1 (PDF)

Solution S1 (This resource may not render correctly in a screen reader.PDF)
S2 Duhamel's Integral (PDF) (PDF) S2 Notes (This resource may not render correctly in a screen reader.PDF)

Oppenheim, et al. Section 2.0-2.2.		 Problem S2 (PDF)

Solution S2 (This resource may not render correctly in a screen reader.PDF)
S3 Duhamel's Integral (cont.) (PDF) (PDF) S3 Notes (This resource may not render correctly in a screen reader.PDF) Problem S3 (PDF)

Solution S3 (This resource may not render correctly in a screen reader.PDF)
S4 Impulse Response, Superposition Integral (PDF) (PDF) S4 Notes (This resource may not render correctly in a screen reader.PDF) Problem S4 (PDF)

Solution S4 (This resource may not render correctly in a screen reader.PDF)
S5 Convolution and LTI Systems (PDF) (PDF) S5 Notes (This resource may not render correctly in a screen reader.PDF) Problem S5 (PDF)

Solution S5 (This resource may not render correctly in a screen reader.PDF)
S6 Properties of the Impulse, Properties of Convolution (PDF) (PDF) S6 Notes (This resource may not render correctly in a screen reader.PDF) Problem S6 (PDF)

Solution S6 (This resource may not render correctly in a screen reader.PDF)
S7 Graphical Interpretation of Convolution (PDF) (PDF) S7 Notes (This resource may not render correctly in a screen reader.PDF) Problem S7 (PDF)

Solution S7 (This resource may not render correctly in a screen reader.PDF)
S8 Response to Exponential Inputs, The Unilateral Laplace Transform (PDF) (PDF) S8 Notes (This resource may not render correctly in a screen reader.PDF) Problem S8 (PDF)

Solution S8 (PDF)
S9 Selected Laplace Transforms (PDF) (PDF) S9 Notes (This resource may not render correctly in a screen reader.PDF) Problem S9 (PDF)

Solution S9 (PDF)
S10 Properties of the LT, Analysis of Systems Using LTs (PDF) (PDF) S10 Notes (This resource may not render correctly in a screen reader.PDF) Problem S10 (PDF)

Solution S10 (PDF)
S11 Partial Fraction Expansions   (PDF) S11 Notes (This resource may not render correctly in a screen reader.PDF)

Phugoid Supplement (PDF)		 Problem S11 (PDF)

Solution S11 (PDF)
S12 BIBO Stability and the Region of Convergence (PDF) (PDF) S12 Notes (This resource may not render correctly in a screen reader.PDF) Problem S12 (PDF)

Solution S12 (PDF)
S13 The Bilateral Laplace Transform (PDF) (PDF) S13 Notes (This resource may not render correctly in a screen reader.PDF) Problem S13 (PDF)

Solution S13 (This resource may not render correctly in a screen reader.PDF)
S14 Examples of the Bilateral LT, The Inverse Laplace Transform (PDF) (PDF) S14 Notes (This resource may not render correctly in a screen reader.PDF) Problem S14 (PDF)

Solution S14 (This resource may not render correctly in a screen reader.PDF)
S15 BIBO Stability and the Bilateral LT, The Fourier Transform (PDF) (PDF) S15 Notes (This resource may not render correctly in a screen reader.PDF)

Oppenheim, et al. Chapter 4.		 Problem S15 (PDF)

Solution S15 (This resource may not render correctly in a screen reader.PDF)
S16 The Fourier Transform (cont.), Fourier Transform Properties (PDF) (PDF) S16 Notes (This resource may not render correctly in a screen reader.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 (This resource may not render correctly in a screen reader.PDF) Problem S17 (PDF)

Solution S17 (PDF)
S18 Modulation, AM-DSB/SC (PDF) (PDF) S18 Notes (This resource may not render correctly in a screen reader.PDF) Problem S18 (PDF)

Solution S18 (This resource may not render correctly in a screen reader.PDF)
S19 AM-DSB/WC, Envelope Detection (PDF) (PDF) S19 Notes (This resource may not render correctly in a screen reader.PDF) Problem S19 (PDF)
S20 Sampling (PDF) (PDF) S20 Notes (This resource may not render correctly in a screen reader.PDF) Problem S20 (PDF)
S21 Measuring the Size of Signals, Parseval's Theorem (PDF) (PDF) S21 Notes (This resource may not render correctly in a screen reader.PDF) Problem S21 (PDF)

Solution S21 (PDF)
S22 The Duration-Bandwidth Relations (PDF) (PDF) S22 Notes (This resource may not render correctly in a screen reader.PDF) Problem S22 (PDF)

Solution S22 (PDF)
S23 The Duration-Bandwidth Relations (cont.), Loran-C Navigation (PDF)   S23 Notes (This resource may not render correctly in a screen reader.PDF)