Electrical Engineering
      and Computer Sciences

Electrical Engineering and Computer Sciences

COLLEGE OF ENGINEERING

UC Berkeley

Geometric interpretation of signals: applications

David G. Messerschmitt

EECS Department
University of California, Berkeley
Technical Report No. UCB/EECS-2006-92
June 27, 2006

http://www.eecs.berkeley.edu/Pubs/TechRpts/2006/EECS-2006-92.pdf

This tutorial report describes some important applications of the geometric modeling of signals to signal processing. The idea of stationary signals (deterministic and stochastic) is related to geometric properties. Linear prediction is shown to be an application of the Hilbert space projection theorem. Sampling is shown to be the solution to a minimum-distance optimzation problem. Finally, the lattice filter and its important properties are derived from first principles using a geometric approach.


BibTeX citation:

@techreport{Messerschmitt:EECS-2006-92,
    Author = {Messerschmitt, David G.},
    Title = {Geometric interpretation of signals: applications},
    Institution = {EECS Department, University of California, Berkeley},
    Year = {2006},
    Month = {Jun},
    URL = {http://www.eecs.berkeley.edu/Pubs/TechRpts/2006/EECS-2006-92.html},
    Number = {UCB/EECS-2006-92},
    Abstract = {This tutorial report describes some important applications of the geometric modeling of signals to signal processing. The idea of stationary signals (deterministic and stochastic) is related to geometric properties. Linear prediction is shown to be an application of the Hilbert space projection theorem. Sampling is shown to be the solution to a minimum-distance optimzation problem. Finally, the lattice filter and its important properties are derived from first principles using a geometric approach.}
}

EndNote citation:

%0 Report
%A Messerschmitt, David G.
%T Geometric interpretation of signals: applications
%I EECS Department, University of California, Berkeley
%D 2006
%8 June 27
%@ UCB/EECS-2006-92
%U http://www.eecs.berkeley.edu/Pubs/TechRpts/2006/EECS-2006-92.html
%F Messerschmitt:EECS-2006-92