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 LaTeX: R_w(\tau)Rw(τ)and spectral density LaTeX: \Phi_w(\omega)Φw(ω) of a discrete random time sequence LaTeX: w(t)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 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:

Download realizations01.m


Download covplot.m
Download morecovplots.m
Download spec_leakage.m
Download periodogram01.m
Download welch.m
Download blackmantukey.m
Download spa01.m
Download etfefig.m