2.171
Quiz
#1
October
18,
2006
This
quiz
is
openbook.
There
are
four
problems,
and
each
is
worth
25
points.
Problem
1
(25
points):
This
problem
considers
six
transfer
functions.
These
are
H
1
(
z
)
=
20(
z
−
0
.
95)
(1)
z
−
1
H
2
(
z
) =
z
−
1
(2)
z
−
0
.
9
H
3
(
z
) =
z
−
0
.
9
(3)
10(
z
−
0
.
99)
H
4
(
z
)
=
10(
z
−
0
.
99)
(4)
z
−
0
.
9
H
5
(
z
) =
1
−
2
r
1
cos Ω
1
+
r
1
2
(5)
z
2
−
z
2
r
1
cos Ω
1
+
r
2
1
where
r
1
= 0
.
995
and
Ω
1
= 0
.
1.
(1
−
2
r
1
cos Ω
1
+
r
1
2
)(
z
2
−
z
2
r
2
cos Ω
2
+
r
2
2
)
H
6
(
z
) =
2
2
(6)
(
z
2
−
z
2
r
1
cos Ω
1
+
r
1
)(1
−
2
r
2
cos Ω
2
+
r
2
)
where
r
1
= 0
.
995
and
Ω
1
= 0
.
1,
as
before,
and
r
2
= 0
.
9995
and
Ω
2
= 0
.
01.
On
two
pages
attached
to
the
end
of
this
exam
are
six
step
responses
and
six
frequency
response
(Bode)
plots.
These
plots
are
labeled
I,
II,
III,
IV,
V,
VI;
and
A,
B,
C,
D,
E,
F;
respectively.
For
each
of
the
transfer
functions
above,
indicate
which
are
the
corresponding
step
and
frequency
responses.
Your
answer
should
take
the
form
of
a
number
from
16
for
each
transfer
function
followed
by
a
capital
letter
indicating
the
corresponding
step
response,
followed
by
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '06
 DavidTrumper
 Cos, Magnitude Magnitude

Click to edit the document details