Graphics Programs Reference
In-Depth Information
Figure 7.7. Normalized frequency responses for single and double cancelers.
7.5. Delay Lines with Feedback (Recursive Filters)
Delay line cancelers with feedback loops are known as recursive filters. The
advantage of a recursive filter is that through a feedback loop we will be able
to shape the frequency response of the filter. As an example, consider the sin-
gle canceler shown in Fig. 7.8 . From the figure we can write
y () x () 1
=
–
(
–
K
) w ()
(7.15)
(7.16)
v () y () w ()
=
+
w () vt T
=
(
–
)
(7.17)
Applying the z-transform to the above three equations yields
Y () X () 1
=
–
(
–
K
) W ()
(7.18)
V () Y () W ()
=
+
(7.19)
–
1
W () z
=
V ()
(7.20)
 
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