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ENGINEERING TRIPOS PART IIA - 2012/2013
Leader: Prof W J Fitzgerald email: wjf1000
Project Type: Standard
Timing: Fridays 9-11am, Tuesdays 11-1pm
This project will start by consolidating on some of the concepts introduced in the second year concerning Fourier transforms and the DFT. Several data series will be studied using these methods and the spectral content of the signals will be analysed. The effect of various data windows applied to the data will be investigated. Filters with various frequency responses will be designed and applied to various data sets. Alternative forms of spectral estimators will be studied. Parametric models and the methods of parameter estimation and model selection will be investigated (Least squares, maximum Likelihood and Bayesian methods). Inverse problems and deconvolution using various approaches will be introduced and used to identify signals that have been distorted by the measurement process. The stability of these methods in the presence of additive measurement noise will be investigated.
All of these methods are applicable to general fields of science and engineering and hopefully the project will prove useful for students hoping to specialise in different areas.
Students will work in pairs.
Week 1: Spectral analysis of the data sets using the DFT with data windows.
Week 2: Design and data filtering. Alternative approaches to spectral estimation (Parametric Approach).
Weeks 3 & 4: Implementation of Parameter estimation methods and applications to the given data sets. Investigation of Inverse methods.
Three mini-lectures will be presented:
Data to be Analysed
Methods to be Employed
Format: Submission Date - Marks
Interim report 1: Thursday 16 May 2013 - 15 marks
Interim report 2: Thursday 23 May 2013 - 15 marks
Final report: 4pm Friday 7 June 2013 - 50 marks
Last updated: November 2012