This course covers the quantitative analytical techniques applicable to research in geomatics. The topics include: uncertainties as potential errors, uncertainty versus integrity, confidence regions. Observations, parameters, functions of observations, explicit and implicit models. Minimum uncertainty estimation, normed spaces, Hilbert spaces. Applications: adjustment, approximation, interpolation, prediction, eigen-function series. Fourier transformation, spectra, signal and noise. Classification of filters, filter design, Kalman and Bayesian filters. |