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Fri Feb 22 22:13:27 CET 2013

Transfer function

For 1-1 functions, gaussian elimination is not necessary, as there is
always a way to write the transfer function a rational function,
i.e. without matrix invsersion / equation solving.

How does that work?  This is a computation on the coefficients..  It
seems that in general this is still a matrix operation, i.e. to move
to the all-pole form:

   a b c d
   1 0 0 0
   0 1 0 0
   0 0 1 0


I.e. given a program

Another thing: in practice, most feedback is going to have 1 or 2
state vectors.  Can't we just exploit that and special-case the
formulas?

Even if it's special-cased, gaussian elimination might be a simpler
way to express it!





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