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Signals Systems



Signals/Systems

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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


Amazon logo 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


Amazon logo 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 #TOPICSCONCEPT QUESTIONSMUDDY POINTSREADINGSASSIGNMENTS / SOLUTIONS
S1Overview of Signals and Systems, Circuit Elements(PDF)(PDF)S1 Notes (PDF)#

Linear Algebra Supplement (PDF)
Problem S1 (PDF)

Solution S1 (PDF)#
S2Circuit Elements (cont.), Kirchhoff's Laws(PDF)(PDF)S2 Notes (PDF)#Problem S2 (PDF)

Solution S2 (PDF)#
S3Kirchhoff's Laws (cont.), Circuit Analysis(PDF)S3 Notes (PDF)#Problem S3 (PDF)

Solution S3 (PDF)#
S4The Node Method(PDF)(PDF)S4 Notes (PDF)#Problem S4 (PDF)

Solution S4 (PDF)#
S5The Loop Method(PDF)(PDF)S5 Notes (PDF)#Problem S5 (PDF)

Solution S5 (PDF)#
S6Thevenin and Norton Equivalent Networks(PDF)(PDF)S6 Notes (PDF)#

Node and Loop Method Supplement (PDF)
S7Energy Storage Elements, Networks with Capacitors(PDF)(PDF)S7 Notes (PDF)Problem S7 (PDF)

Solution S7 (PDF)#
S8Time Response of RC Networks(PDF)(PDF)S8 Notes (PDF)Problem S8 (PDF)

Solution S8 (PDF)#
S9Circuits with Inductors and Capacitors(PDF)(PDF)S9 Notes (PDF)#Problem S9 (PDF)

Solution S9 (PDF)#
S10Impedance Methods, The Concept of "State", State Equations(PDF)(PDF)S10 Notes (PDF)Problem S10 (PDF)

Solution S10 (PDF)#
S11Homogenoeus State Equations(PDF)(PDF)S11 Notes (PDF)#

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

Solution S11 (PDF)#
S12More on Finding State Equations, Eigenvalues and Eigenvectors(PDF)(PDF)S12 Notes (PDF)#Problem S12 (PDF)

Solution S12 (PDF)#
S13Solving State Equations Using Eigenvalues and Eigenvectors(PDF)(PDF)S13 Notes (PDF)#Problem S13 (PDF)

Solution S13 (PDF)#
S14State Equations for Circuits with Sources(PDF)(PDF)S14 Notes (PDF)#

Transfer Function Supplement (PDF)#
Problem S14 (PDF)

Solution S14 (PDF)#
S15Quiz Discussion



16.03-16.04



LEC #TOPICSCONCEPT QUESTIONSMUDDY POINTSREADINGSASSIGNMENTS / SOLUTIONS
S1Linear, Time-Invariant Systems, The Step Response(PDF)(PDF)S1 Notes (PDF)#

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

Solution S1 (PDF)#
S2Duhamel's Integral(PDF)(PDF)S2 Notes (PDF)#

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

Solution S2 (PDF)#
S3Duhamel's Integral (cont.)(PDF)(PDF)S3 Notes (PDF)#Problem S3 (PDF)

Solution S3 (PDF)#
S4Impulse Response, Superposition Integral(PDF)(PDF)S4 Notes (PDF)#Problem S4 (PDF)

Solution S4 (PDF)#
S5Convolution and LTI Systems(PDF)(PDF)S5 Notes (PDF)#Problem S5 (PDF)

Solution S5 (PDF)#
S6Properties of the Impulse, Properties of Convolution(PDF)(PDF)S6 Notes (PDF)#Problem S6 (PDF)

Solution S6 (PDF)#
S7Graphical Interpretation of Convolution(PDF)(PDF)S7 Notes (PDF)#Problem S7 (PDF)

Solution S7 (PDF)#
S8Response to Exponential Inputs, The Unilateral Laplace Transform(PDF)(PDF)S8 Notes (PDF)#Problem S8 (PDF)

Solution S8 (PDF)
S9Selected Laplace Transforms(PDF)(PDF)S9 Notes (PDF)#Problem S9 (PDF)

Solution S9 (PDF)
S10Properties of the LT, Analysis of Systems Using LTs(PDF)(PDF)S10 Notes (PDF)#Problem S10 (PDF)

Solution S10 (PDF)
S11Partial Fraction Expansions(PDF)S11 Notes (PDF)#

Phugoid Supplement (PDF)
Problem S11 (PDF)

Solution S11 (PDF)
S12BIBO Stability and the Region of Convergence(PDF)(PDF)S12 Notes (PDF)#Problem S12 (PDF)

Solution S12 (PDF)
S13The Bilateral Laplace Transform(PDF)(PDF)S13 Notes (PDF)#Problem S13 (PDF)

Solution S13 (PDF)#
S14Examples of the Bilateral LT, The Inverse Laplace Transform(PDF)(PDF)S14 Notes (PDF)#Problem S14 (PDF)

Solution S14 (PDF)#
S15BIBO Stability and the Bilateral LT, The Fourier Transform(PDF)(PDF)S15 Notes (PDF)#

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

Solution S15 (PDF)#
S16The Fourier Transform (cont.), Fourier Transform Properties(PDF)(PDF)S16 Notes (PDF)#

Oppenheim, et al. Chapter 4.
Problem S16 (PDF)

Solution S16 (PDF)
S17The Fourier Transform of Special Functions, Convolutions and the FT(PDF)(PDF)S17 Notes (PDF)#Problem S17 (PDF)

Solution S17 (PDF)
S18Modulation, AM-DSB/SC(PDF)(PDF)S18 Notes (PDF)#Problem S18 (PDF)

Solution S18 (PDF)#
S19AM-DSB/WC, Envelope Detection(PDF)(PDF)S19 Notes (PDF)#Problem S19 (PDF)
S20Sampling(PDF)(PDF)S20 Notes (PDF)#Problem S20 (PDF)
S21Measuring the Size of Signals, Parseval's Theorem(PDF)(PDF)S21 Notes (PDF)#Problem S21 (PDF)

Solution S21 (PDF)
S22The Duration-Bandwidth Relations(PDF)(PDF)S22 Notes (PDF)#Problem S22 (PDF)

Solution S22 (PDF)
S23The Duration-Bandwidth Relations (cont.), Loran-C Navigation(PDF)S23 Notes (PDF)#

 








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