Theoretical aspects: Lecture 1: ✴ auto-covariance and auto-correlation function (HM 6.1.1 -->) ✴ convolution theorem to explain relation between timeseries, autocovariance and spectrum (Manu’s notes) ✴ degrees of freedom (HM --> 6.1.6) Lecture 2: ✴ FFT in MATLAB ✴ aliasing of signals, NQUIST frequency, trends (unresolved low-frequency components) (HM 6.2.2) ✴ Computing and plotting power spectra with FFT (HM 6.2.4) ✴ Window tapering and spectral smoothing/averaging (HM 6.2.5) Lecture 3: ✴ example of testing the significance of a correlation (e.g. two white noise, for auto-correlated timeseries two red noise) ✴ red-noise as a default model or null-hypothesis for a time process, ✴ how to use red-noise to assess the significance of spectral peaks and, F-test (HM 6.2.6)