Implementation of Repeated Poles
Fig.
9.5 illustrates an efficient implementation
of terms due to a repeated pole with multiplicity three,
contributing the additive terms
to the
transfer function. Note that, using this approach, the total
number of poles implemented equals the total number of poles of the
system. For clarity, a single real (or complex) pole is
shown. Implementing a repeated complexconjugate pair as a repeated
real secondorder section is analogous.
Figure 9.5:
Implementation of a pole repeated three times.

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