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SVD and Signal Processing, III
book

SVD and Signal Processing, III

by M. Moonen, B. De Moor
March 1995
Intermediate to advanced content levelIntermediate to advanced
498 pages
23h 58m
English
Elsevier Science
Content preview from SVD and Signal Processing, III
438
J.A. Ramos and E.L Verriest
3 BALANCED REALIZATIONS
Here we will show that the orthogonal complement matrices Np and
N!
satisfy certain
constraints that lead to the balanced conditions similarly derived in [7]. First, let us point
out that Np and
N!
satisfy the following system of equations
Now. since the two systems of equations are equivalent, one needs to solve only one system.
Let [
T, IT4 ]= [ NTI-NT
],
then from (22) we have
T2r + T4rA ~ = 0~•
(24)
T1 + T2HT
+ T4EA = 0~i• (25)
T3 + T4HT
= 0tixmi (26)
Since the product r& is similarity invariant, one can specify a similarity transformation ...
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Publisher Resources

ISBN: 9780444821072