Welecome to ELEC441, 2021!
Linear systems are one of the basic building blocks of modern technology, whether it be modern electronic systems, heat-transfer, marine science, theoretical physics, experimental optics or telecommunication and signal processing.
This challenging course covers the general principles and techniques of linear systems as well as applications in communications systems, physics and applied mathematics.
Due to covid-19 planning we are using slack for course communication.
I'm a big fan of "Slack" and I'd like use it for communication in this course.
I encourage you to join the PhysicsOtago workspace and subscribe to the #elec441_2021
channel.
Visit https://physicsotago.slack.com to sign up using your student address. You should be able to join automatically.
Number | Due Out (Mon) | Due In (Fri) | Files |
---|---|---|---|
1 | 1 Mar | 12 Mar | a1.pdf |
2 | 8 Mar | 19 Mar | a2.pdf |
3 | 15 Mar | 26 Mar | a3.pdf |
4 | 22 Mar | 1 Apr (Thu. Please note wording update to question 2) | a4.pdf |
5 | 29 Mar | 16 Apr | a5.pdf |
6 | 16 Apr | 28 Apr | a6.pdf |
7 | 23 Apr | (updated) 7 May. Ex: a7_q4_highlowencoding.pdf | a7.pdf |
To submit on paper, take your assignment to the first floor office.
To submit an assignment electronically, use the link provided on slack.
Name your files like lastname_a5.zip
(a
is for assignment, replace 5
with the assignment number).
If you make a mistake and want to resubmit, use a filename like lastname_a5_v2.zip
('v' is for version).
Problem with submitting your work? Ask a question on the course slack channel.
Matlab is great, if you are happy using it, please do. I love open source and so if you prefer to use Julia, Python, or simililar, please do that too.
My own personal favorite is Julia which offers a unique combination of ease of use and high performance. A nice user interface is provided by Juno, which also links to installation instructions for Julia.
Some intro links using Julia:
Convolutions in image processing (using Pluto notebook)
I also have lectures from PHSI365 that can be provided on request.
The summary lecture and assignment schedule can be be found here
All Lectures and tutorials are held in room 311.
Lectures: 10am Mondays, 1pm Wednesdays
Tutorials: 9am Thursdays
The sections referred to are from the course notes (pdf)
Lecture | Date | Sections | Description |
---|---|---|---|
1 | 1/3 | 1.1,1.2 | Dirac delta-function |
2 | 3/2 | 1.3 (lightly), 2.1-2.3 | Generalized functions and functions, Linear systems |
3 | 8/3 | 3.1-3.2 | Classes of systems. Convolution |
4 | 10/3 | 3.5-3.7 | Stability of LTI system, Eigenfunctions of LTI, Cascaded, Fourier Transform (FT) |
5 | 15/3 | 4.1,4.2 | The Fourier transform and its inverse |
6 | 17/3 | 4.3-4.5 | Examples of FT, Convergence of Dirichlet integrals |
7 | 22/3 | 4.6, 4.7 | FT of generalised functions |
8 | 24/3 | 5.1-5.4 | Sampling in frequency and time |
9 | 29/3 | 5.5, 5.6 | Sampling theorem, Bernstein's theorem |
10 | 31/3 | 6.1-6.4 | Discrete FT |
Mid-semester break | 5/4, 7/4 | ---------- | ---------- |
11 | 12/4 | 6.8 | Fast Fourier transform (FFT) |
12 | 14/4 | 7.1,7.2 | Energy and power in deterministic signals |
13 | 21/4 | 7.3,7.4 | Stochastic processes and noise (not Markov processes) |
Anzac Day | 26/4 | ----------- | ----------- |
14 | 28/4 | 7.5,7.6 | Signals in noise |
15 | 3/5 | 8.1, 8.2, 9.10 | Hilbert transform, Causality and Kramers-Kronig relations, 1D propagation in dispersive medium |
16 | 5/5 | Overflow |
A collection of old exam questions can be found here.
Policy on working together on assignments, please read this (pdf)
A document the University has asked me to bring to your attention (pdf)
The course outline also has something to say about academic integrity
There is no course text, instead we will follow the course notes given in hard copy.
Final exam 70%
Assignments 30%
The exam may be subject to covid-19 variation.
Exam format:
Associate Professor Ashton Bradley
Office: room 416
ashton.bradley@otago.ac.nz
ph: 03 479 4128
The class rep for 2021 is