Solution 6.8.4.5
Time (sec.)
A
mp
li
tu
d
e
Step Response
0 0.5 1 1.5 2 2.5 3
0
0.2
0.4
0.6
0.8
1
1.2
1.4
Stays inside for good
t
k
t
k+1
Figure 1: Worst case in estimating t
s
Figure 1 shows the worst case, where the response enters the channel used
to dene t
s
.Thenwewould havetouse t
k+1
.Hence, our maximum error
in estimating t
s
is
T = t
k+1
;t
k
=
(k +1)
!
n
p
1;
2
;
k
!
n
p
1;
2
=
!
n
p
1;
2
:
Thus, T will depend on both !
n
and .
1