This repository contains my solutions to the homework assigned in the course "Experimental Methods" which I attended during my first year of the Master Course in Physics. The main topics are:
Programs needed:
Some mathematical computation
For pdf exporting
- Miktext and pandoc https://nbconvert.readthedocs.io/en/latest/install.html
28 September 2020
This exercise aimed at explaining the critical point of choosing the right sampling frequency when performing a Shannon interpolation. The main difficulty of this exercise was to move from the theory to a practical application.
For this exercise is provided a Mathematica Notebook, but only the Jupyter notebook will be updated and corrected.
13 October 2020
This exercise aimed to be an introduction to linearization and to linear system. There were no intrinsic difficulties, but an oversight of mine lead to me doing all the calculation by hand. Apart from that the exercise was carried out without major problems.
20 October 2020
This exercise was an introduction to feedback loops and linearization limits.
27 October 2020
This exercise was made more difficult than expected due to a slip on the given value of the parameters. This made the in-classroom discussion hard to follow. The jupyter notebook is very similar to the one submitted and may contain some errors.
4 November 2020
This exercise aimed at consolidating the use of PSD when dealing with noise. The first exercise was a simplified model for the Resonant Gravitational Wave Detector AURIGA while the second was an electric circuit.
10 November 2020
The purpose of this exercise was to apply Wiener's optimal filter to a charge detector in order to evaluate the minimum charge detectable. It gave a practical interpretation of both the PSD and Wiener's mean square error. It further helped in understanding how to interpret a noise plot and how to get the most information out of it.
24 November 2020
1 December 2020
Before the exam a series of exercises were given in order to test our understanding. No discussion regarding these exercises was held so there may be some errors or miss misinterpretation.
This exercise is the same as "Exercise 03 - Pressure Transducer" and therefore no solution will be uploaded.
This exercise was mainly a review of some known concept, although the need to understand the underlying stochastic process was a nice twist that made the exercise not trivial.