Implementation of Repeated Poles
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 complex-conjugate pair as a repeated
real second-order section is analogous.
Implementation of a pole repeated three times.
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