Matched Z Transformation

The *matched z transformation* uses the same pole-mapping
Eq.
(8.2) as in the impulse-invariant method, but the zeros
are handled differently. Instead of only mapping the poles of the
partial fraction expansion and letting the zeros fall where they may,
the matched

The factored form [452] of a transfer function

can be written as

The matched

to get

Thus, the matched

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Center for Computer Research in Music and Acoustics (CCRMA), Stanford University