Part V — The Signals-and-Systems Core

Booklet: Abridged Math Foundations for Signals and Systems, Lessons 28–35 (PDF).

Signals and system properties; LTI systems and convolution; Fourier series; the continuous- and discrete-time Fourier transforms; frequency response and filtering; sampling and aliasing; Laplace and \(z\)-transforms.

28 exercises across Lessons 28–34 — 14 [Hand], 14 [Proof]. Lesson 35 is Capstone V (a project, no exercise block).

Exercises

Worked sets are linked below as they are completed.

  • Lesson 28 — Signals and Systems — 4 exercises (2 [Hand], 2 [Proof])
  • Lesson 29 — LTI Systems and Convolution — 4 exercises (2 [Hand], 2 [Proof])
  • Lesson 30 — Fourier Series — 4 exercises (2 [Hand], 2 [Proof])
  • Lesson 31 — The Continuous-Time Fourier Transform — 4 exercises (2 [Hand], 2 [Proof])
  • Lesson 32 — The Discrete-Time Fourier Transform and Frequency Response — 4 exercises (2 [Hand], 2 [Proof])
  • Lesson 33 — Sampling — 4 exercises (2 [Hand], 2 [Proof])
  • Lesson 34 — Laplace and \(z\)-Transforms, a Working Minimum — 4 exercises (2 [Hand], 2 [Proof])
  • Lesson 35 — Capstone V: Filtering and Sampling in NumPy — project