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Astronomy 193: 
Noise and Data Analysis in Astrophysics

James M. Moran

Spring 2007 
M, W, 2:10-3:40 
Observatory, A-101 
EXAM GROUP 16: 

How to design experiments and get the most information from noisy, incomplete, flawed, and biased data sets. Basics of probability theory; Bernouli trials; Bayes theorem; random variables; distributions; functions of random variables; moments and characteristic functions; Fourier transform analysis; Stochastic processes; estimation of power spectra. Digital data processing: sampling theorem, filtering; fast Fourier transform; spectrum of quantized data sets. Weighted least mean squares analysis and nonlinear parameter estimation. Noise processes in periodic phenomena. Image processing and restoration techniques.


Syllabus Course Overview
Lectures Problem Sets


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Last modified on March 19, 2007