Weeks are approximate and follow the course outline.
SS:Signals and Systems, 2nd edition, by Oppenheim, Willsky, and Nawab.
LSS:Linear Systems and Signals, 3rd edition, by Lathi and Green.
Week
Content
Recommended reading
Week 1
Discrete- and continuous-time signals Signal energy and power; time shifting, reversal, and scaling; periodicity and symmetry; exponential, sinusoidal, impulse, and step signals
Discrete- and continuous-time systems System interconnections; memory, invertibility, causality, stability, time invariance, and linearity
SS: Chapter 1, Sections 1.5–1.6
LSS: Chapter 1, Sections 1.6–1.7
Weeks 3–4
Discrete-time linear time-invariant systems Convolution and its properties; impulse and step responses; stability; difference equations and block diagrams
SS: Chapter 2, Sections 2.1, 2.3, and 2.4.2–2.4.3
LSS: Chapter 3, Sections 3.5–3.9
Week 5
Continuous-time linear time-invariant systems Convolution and its properties; impulse and step responses; stability; differential equations and block diagrams
SS: Chapter 2, Sections 2.2–2.3, 2.4.1, and 2.4.3
LSS: Chapter 2, Sections 2.2–2.5
Weeks 6–7
Fourier series of continuous-time periodic signals Complex exponentials and LTI systems; Fourier series representation, convergence, properties, and Parseval's theorem
SS: Chapter 3, Sections 3.2–3.5 and 3.8
LSS: Chapter 6, Sections 6.1–6.4
Week 8
Fourier series of discrete-time periodic signals Fourier series representation, properties, and Parseval's theorem; response of LTI systems to periodic inputs
SS: Chapter 3, Sections 3.6–3.8
LSS: Chapter 9, Section 9.1
Weeks 9–10
Continuous-time Fourier transform Representation, existence, convergence, transform properties, and Parseval's theorem; convolution, filtering, and differential equations
SS: Chapter 4
LSS: Chapter 7, Sections 7.1–7.6
Week 11
Discrete-time Fourier transform Representation, existence, convergence, transform properties, and Parseval's theorem; convolution, duality, and difference equations
SS: Chapter 5
LSS: Chapter 9, Sections 9.2–9.4
Weeks 12–13
Time and frequency characterization of signals and systems Magnitude and phase; Bode plots; first- and second-order continuous- and discrete-time systems