Numerical Robustness of TDF-II
An advantage of the transposed direct-form II structure (depicted in
Fig.9.4) is that the zeros effectively precede the poles in
series order. As mentioned above, in many digital filters design, the
poles by themselves give a large gain at some frequencies, and the
zeros often provide compensating attenuation. This is especially true
of filters with sharp transitions in their frequency response, such as
the elliptic-function-filter example on page ; in such
filters, the sharp transitions are achieved using near pole-zero
cancellations close to the unit circle in the
plane.10.4
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