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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. |