Admission requirements
Experimental physics parts 1 and 2. Prior knowledge of Optics, Classical Mechanics, Analysis 3 NA and Physics Experiments 1
Description
This course builds on the knowledge about signal processing that you gained from Physics Experiments 1 and extends it towards more complex systems that involve positive and negative feedback and various sources of noise. The ultimate goal is to prepare you to independently set up a complex experiment. This will be tested during Physics Experiments 3.
During the course we will analyze various sources of noise and interference and show you how to handle them. Furthermore, we will discuss (positive and negative) feedback, Fourier and Laplace transforms and simple control theory.
To gain both the necessary theoretical background and direct practical experience this course consists of a combination of lectures, exercise classes, and practical work. Python is used in both the exercise classes and the practical work. Because of this structure, you will not only get to know a powerful theory that is applicable to many physical phenomena, but also be able to use that theory in practice.
This course treats the following subjects in a physically relevant context:
2D Fourier transform and Fourier optics
Step and impulse response
Laplace transform
Feedback
Noise
OpAmp
Course Objectives
After successful completion of this course you will be able to do the following in both a theoretical as well as experimental context:
Analyze, build and measure simple electronic circuits containing resistors, capacitors, inductors and OpAmps.
Analyze linear time-invariant systems in the time domain and in the frequency domain:
- Apply mathematical tools to signals: convolution and various Fourier transforms.
- Perform simple image processing using 2D Fourier transforms.
- Derive, measure and plot impulse response, step response and transfer functions of electronic and mechanical systems.
Analyze stochastic (random) signals such as noise:
- Using statistical analysis, autocorrelation, the Wiener-Khinchin theorem and noise spectral densities.
- Describe the cause, spectrum, and consequences of various sources of noise and interference and propose solutions to improve signal-to-noise ratio.
Determine the stability of negative and positive feedback systems:
- Performing the Laplace transform and the BIBO stability criterion.
- Using the Nyquist stability criterion.
Transferable skills
The following skills will be trained during this course:
Thinking in a different domain from the time domain.
Applying theoretical knowledge while performing experiments.
Attaining new Python skills that you can use again in all other courses.
Timetable
Schedule
For detailed information go to Timetable in Brightspace
You will find the timetables for all courses and degree programmes of Leiden University in the tool MyTimetable (login). Any teaching activities that you have sucessfully registered for in MyStudyMap will automatically be displayed in MyTimeTable. Any timetables that you add manually, will be saved and automatically displayed the next time you sign in.
MyTimetable allows you to integrate your timetable with your calendar apps such as Outlook, Google Calendar, Apple Calendar and other calendar apps on your smartphone. Any timetable changes will be automatically synced with your calendar. If you wish, you can also receive an email notification of the change. You can turn notifications on in ‘Settings’ (after login).
For more information, watch the video or go the the 'help-page' in MyTimetable. Please note: Joint Degree students Leiden/Delft have to merge their two different timetables into one. This video explains how to do this.
Mode of instruction
Lab work, lectures (in Dutch), exercises/exam are in English
See Brightspace
Assessment method
Lab work, assignments/exercises and exam (all in English)
Reading list
There will be a reader available (English).
Registration
As a student, you are responsible for registering on time, i.e. 14 days before the start of the course. This can be done via Mystudymap. You do this twice a year: once for the courses you want to take in semester 1 and once for the courses you want to take in semester 2. Please note: late registration is not possible.
Registration for courses in the first semester is possible from July; registration for courses in the second semester is possible from December. For more information, see this page
In addition, it is mandatory for all students to register for exams. This can be done up to and including 10 calendar days prior to the exam or up to five calendar days in case of a retake exam. You cannot participate in the exam or retake without a valid registration in My Studymap.
Contact
Lecturer for the theoretical part: [Dr.ir. B.J. Hensen)(https://www.universiteitleiden.nl/en/staffmembers/bas-hensen#tab-1)
Lecturer for the practical part: Dr.ir. Paul Logman
Remarks
none