Z-Domain Exercise: Pole-Zero Data - HP 3563A Operating Manual

Synthesis
Data
Pole-Zero

z-Domain Exercise: Pole-Zero Data

This exercise shows you how to enter pole-zero data into the z-domain synthesis table. It then shows
you how to synthesize the data. The transfer function for this exercise is:
H(zl
=
(z
. 1
- -
Note
The following z-domain exercise assumes you have completed the previous
s-domain exercise. Information presented previously in the s-domain exercise is not
duplicated here. See the s-domain exercise if you do not understand a concept
presented here.
Clearing the Synthesis Table
You use similar procedures to clear both the s-domain and z-domain synthesis tables. First, press
and toggle
DOMAIN S Z
SYNTH
highlighted data-format softkey and press
Entering Pole-Zero Data
Before you enter data in the z-domain synthesis table, you must first select the Zpower. Since the
equation for this exercise is written in terms of positive powers of z, select
+ Zpower, press
SYNTH FCTN
Toggle
Z PWR +
17-1).
.
indicate + Zpower.
At this time, add pole-zero data to the synthesis table
not used for z-domain data because H(z) terms are normalized with respect to the unit circle. You
will need to enter the pole
1 7-20
.
).2)
.1 +
-
to the z domain (so that Z is highlighted). Then press the
CLEAR TABLE
to display the synthesis function menu (this menu is shown in figure
so that is highlighted. The status line on the display should now
+
-
as
and the zero as
.1, .2
twice.
+
.
as
shown in figure
17-5.
(the m indicates milla).
3
-.
Zpower. To select
Notice that units are