Course overview
This is an undergraduate course on Fourier analysis and its engineering applications, aimed at students in the Mathematics and Information Engineering (MIEG) programme and related disciplines. The course develops the mathematical foundations of signal analysis and introduces the principal tools used in communications and signal processing.
Topics include: Fourier series and Fourier transforms, the Laplace transform, the Z-transform, linear time-invariant systems, convolution, sampling and the sampling theorem, filtering, and applications to communications and signal processing.
Course page on Piazza: piazza.com/cuhk.edu.hk/fall2025/mieg2051estr2360 (enrolled students only) · Course outline: [pdf] · Introduction slides: [pdf]
Key information
Details
| Course code | MIEG 2051 / ESTR 2360 |
| Title | Fourier Analysis with Engineering Applications |
| Term | Fall 2025 |
| Instructor | Prof. Chandra Nair, Room 811, Ho Sin Hang Engineering Building |
| Level | Undergraduate (Year 2) |
Assessment
| Homework | 7 assignments (dates below) |
| Midterm 1 | See 24_M1.pdf / 23_M1.pdf (past papers) |
| Midterm 2 | See 24_M2.pdf / 23_M2.pdf / 22_M2.pdf (past papers) |
| Formulae sheet | MIEG2051_Formulae.pdf |
| Discussion | Piazza (enrolled students) |
Lecture notes
| Notes | Description |
|---|---|
| Lecture_Notes.pdf posted | Full course lecture notes |
Class scribblings (in-class handwritten notes) are listed separately below.
Homework
| # | Assignment | Due date |
|---|---|---|
| 1 | MIEG2051_HW1_2025_26Fall.pdf posted | Sep 12, 2025 |
| 2 | MIEG2051_HW2_2025_26Fall.pdf posted | Sep 19, 2025 |
| 3 | MIEG2051_HW3_2025_26Fall.pdf posted | Sep 26, 2025 |
| 4 | MIEG2051_HW4_2025_26Fall.pdf posted | Oct 13, 2025 |
| 5 | MIEG2051_HW5_2025_26Fall.pdf posted | Oct 24, 2025 |
| 6 | MIEG2051_HW6_2025_26Fall.pdf posted | Nov 14, 2025 |
| 7 | MIEG2051_HW7_2025_26Fall.pdf posted | Nov 22, 2025 |