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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, Fall 2003:
Edwards, C. H. and David E. Penney. Elementary Differential Equations with Boundary Value Problems. 4th edition. Englewood Cliffs, NJ: Prentice Hall, 1999. ISBN: 0130113018.

16.03-16.04, Spring 2004:
Oppenheim, Alan , Alan Willsky, and S. Hamid Nawab. Signals and Systems. 2nd edition.  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

LEC # TOPICS CONCEPT QUESTIONS MUDDY POINTS READINGS ASSIGNMENTS / SOLUTIONS
16.01-16.02, FALL 2003
Week 4
S1 Overview of Signals and Systems, Circuit Elements S1 Concept Questions (PDF) S1 Mud (PDF) S1 Notes (PDF)
Linear Algebra Supplement (PDF)
Problem S1 (PDF)
Solution S1 (PDF)
S2 Circuit Elements (cont.), Kirchhoff's Laws S2 Concept Questions (PDF) S2 Mud (PDF) S2 Notes (PDF) Problem S2 (PDF)
Solution S2 (PDF)
Week 5
S3 Kirchhoff's Laws (cont.), Circuit Analysis S3 Mud (PDF) S3 Notes (PDF) Problem S3 (PDF)
Solution S3 (PDF)
S4 The Node Method S4 Concept Questions (PDF) S4 Mud (PDF) S4 Notes (PDF) Problem S4 (PDF)
Solution S4 (PDF)
S5 The Loop Method S5 Concept Questions (PDF) S5 Mud (PDF) S5 Notes (PDF) Problem S5 (PDF)
Solution S5 (PDF)
Week 6
S6 Thevinin and Norton Equivalent Networks S6 Concept Questions (PDF) S6 Mud (PDF) S6 Notes (PDF)
Node and Loop Method Supplement (PDF)
Problem S6 Cancelled
S7 Energy Storage Elements, Networks with Capacitors S7 Concept Questions (PDF) S7 Mud (PDF) S7 Notes (PDF) Problem S7 (PDF)
Solution S7 (PDF)
Week 7
S8 Time Response of RC Networks S8 Concept Questions (PDF) S8 Mud (PDF) S8 Notes (PDF) Problem S8 (PDF)
Solution S8 (PDF)
S9 Circuits with Inductors and Capacitors S9 Concept Questions (PDF) S9 Mud (PDF) S9 Notes (PDF) Problem S9 (PDF)
Solution S9 (PDF)
Week 8
S10 Impedance Methods, The Concept of "State", State Equations S10 Concept Questions (PDF) S10 Mud (PDF) S10 Notes (PDF) Problem S10 (PDF)
Solution S10 (PDF)
S11 Homogenoeus State Equations S11 Concept Questions (PDF) S11 Mud (PDF) S11 Notes (PDF)
Edwards et al., sec. 5.4.
Problem S11 (PDF)
Solution S11 (PDF)
S12 More on Finding State Equations, Eigenvalues and Eigenvectors S12 Concept Questions (PDF) S12 Mud (PDF) S12 Notes (PDF) Problem S12 (PDF)
Solution S12 (PDF)
Week 9
S13 Solving State Equations Using Eigenvalues and Eigenvectors S13 Concept Questions (PDF) S13 Mud (PDF) S13 Notes (PDF) Problem S13 (PDF)
Solution S13 (PDF)
S14 State Equations for Circuits with Sources S14 Concept Questions (PDF) S14 Mud (PDF) S14 Notes (PDF)
Transfer Function Supplement (PDF)
Problem S14 (PDF)
Solution S14 (PDF)
Week 10
S15 Quiz Discussion
16.03-16.04, SPRING 2004
Week 6
S1 Linear, Time-Invariant Systems, The Step Response S1 Concept Questions (PDF) S1 Mud (PDF) S1 Notes (PDF)
Oppenheim et al., ch. 1.
Problem S1 (PDF)
Solution S1 (PDF)
Week 7
S2 Duhamel's Integral S2 Concept Questions (PDF) S2 Mud (PDF) S2 Notes (PDF)
Oppenheim et al., sec. 2.0-2.2.
Problem S2 (PDF)
Solution S2 (PDF)
S3 Duhamel's Integral (cont.) S3 Concept Questions (PDF S3 Mud (PDF) S3 Notes (PDF) Problem S3 (PDF)
Solution S3 (PDF)
S4 Impulse Response, Superposition Integral S4 Concept Questions (PDF) S4 Mud (PDF) S4 Notes (PDF) Problem S4 (PDF)
Solution S4 (PDF)
Week 8
S5 Convolution and LTI Systems S5 Concept Questions (PDF) S5 Mud (PDF) S5 Notes (PDF) Problem S5 (PDF)
Solution S5 (PDF)
S6 Properties of the Impulse, Properties of Convolution S6 Concept Questions (PDF) S6 Mud (PDF) S6 Notes (PDF) Problem S6 (PDF)
Solution S6 (PDF)
S7 Graphical Interpretation of Convolution S7 Concept Questions (PDF) S7 Mud (PDF) S7 Notes (PDF) Problem S7 (PDF)
Solution S7 (PDF)
Week 9
S8 Response to Exponential Inputs, The Unilateral Laplace Transform S8 Concept Questions (PDF) S8 Mud (PDF) S8 Notes (PDF) Problem S8 (PDF)
Solution S8 (PDF)
S9 Selected Laplace Transforms S9 Concept Questions (PDF) S9 Mud (PDF) S9 Notes (PDF) Problem S9 (PDF)
Solution S9 (PDF)
S10 Properties of the LT, Analysis of Systems Using LTs S10 Concept Questions (PDF) S10 Mud (PDF) S10 Notes (PDF) Problem S10 (PDF)
Solution S10 (PDF)
Week 10
S11 Partial Fraction Expansions S11 Mud (PDF) S11 Notes (PDF)
Phugoid Supplement (PDF)
Problem S11 (PDF)
Solution S11 (PDF)
S12 BIBO Stability and the Region of Convergence S12 Concept Questions (PDF) S12 Mud (PDF) S12 Notes (PDF) Problem S12 (PDF)
Solution S12 (PDF)
S13 The Bilateral Laplace Transform S13 Concept Questions (PDF) S13 Mud (PDF) S13 Notes (PDF) Problem S13 (PDF)
Solution S13 (PDF)
Week 11
S14 Examples of the Bilateral LT, The Inverse Laplace Transform S14 Concept Questions (PDF) S14 Mud (PDF) S14 Notes (PDF) Problem S14 (PDF)
Solution S14 (PDF)
Week 12
S15 BIBO Stability and the Bilateral LT, The Fourier Transform S15 Concept Questions (PDF) S15 Mud (PDF) S15 Notes (PDF)
Oppenheim et al., ch. 4.
Problem S15 (PDF)
Solution S15 (PDF)
S16 The Fourier Transform (cont.), Fourier Transform Properties S16 Concept Questions (PDF) S16 Mud (PDF) S16 Notes (PDF)
Oppenheim et al., ch. 4.
Problem S16 (PDF)
Solution S16 (PDF)
Week 13
S17 The Fourier Transform of Special Functions, Convolutions and the FT S17 Concept Questions (PDF) S17 Mud (PDF) S17 Notes (PDF) Problem S17 (PDF)
Solution S17 (PDF)
S18 Modulation, AM-DSB/SC S18 Concept Questions (PDF) S18 Mud (PDF) S18 Notes (PDF) Problem S18 (PDF)
Solution S18 (PDF)
S19 AM-DSB/WC, Envelope Detection S19 Concept Questions (PDF) S19 Mud (PDF) S19 Notes (PDF) Problem S19 (PDF)
S20 Sampling S20 Concept Questions (PDF) S20 Mud (PDF) S20 Notes (PDF) Problem S20 (PDF)
Week 14
S21 Measuring the Size of Signals, Parseval's Theorem S21 Concept Questions (PDF) S21 Mud (PDF) S21 Notes (PDF) Problem S21 (PDF)
Solution S21 (PDF)
S22 The Duration-Bandwidth Relations S22 Concept Questions (PDF) S22 Mud (PDF) S22 Notes (PDF) Problem S22 (PDF)
Solution S22 (PDF)
S23 The Duration-Bandwidth Relations (cont.), Loran-C Navigation S23 Concept Questions (PDF) S23 Notes (PDF)