ECE320
Homework 6
Spring 2006
Cornell University
T.L.Fine
Please hand in this assignment at the end of lecture on Tuesday,
14 March. Use only your assigned threedigit code and not your
name.
Throughout, give reasons for your answers.
1. Consider the negative feedback system shown in Figure 1.
f
g
e
u
S
S
1
2
+

Figure 1: Negative Feedback System
The subsystem
S
1
is an ampliﬁer by
K
. The subsystem
S
2
is an integra
tor (the derivative of its output equals its input). On the Blackboard 320
site, under Course Documents/Matlab Programs, you will ﬁnd
dfield7.m
written by Professor John Polking at Rice and my brief summary
Notes to
dfield7
. You can use this program to numerically solve ﬁrstorder diﬀeren
tial equations.
(a) Let the input
f
(
t
) = 1. For each of the three values of gain
K
given by
0
.
1
,
1
.
0
,
10 provide plots of the output starting from initial condition
g
(0) = 0.
Run
dfield7.m
for a time interval [

2
,
10] and an amplitude range of [

3
,
3].
(b) Repeat (a) for
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 Spring '06
 FINE
 Signal Processing, Cybernetics

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