Lecture 10. Identification of Linear Dynamical Systems - part 2
Learning Goals: You should be able to model random disturbances and estimate models from data. You should understand the definition of covariance function Rw(τ)and spectral density
Φw(ω) of a discrete random time sequence
w(t) and how these functions influence the typical behavior or the signals. You should be able to estimate the spectrum of signals using Periodograms, Welch's method and BlackmanTukey method. You should be able to estimate transfer functions using spectral analysis.
Reading: Ch 9 + 10.1-5 in Ljung+Glad+Hansson (same chapters in older book)
Lecture 10 slides are available here Download available here
Lecture 10 video:
or on Youtube
PADLET
When watching the video, you can post questions/comments on this padlet Links to an external site.
Matlab code:
realizations01.m
Download realizations01.m
covplot.m
Download covplot.m
morecovplots.m
Download morecovplots.m
spec_leakage.m
Download spec_leakage.m
periodogram01.m
Download periodogram01.m
welch.m
Download welch.m
blackmantukey.m
Download blackmantukey.m
spa01.m
Download spa01.m
etfefig.m
Download etfefig.m