ELEC-E3120 Analysis and Design of Electronic Circuits Exam
I3.L2.2018This
exam includes five problems. Notethat the
last ones areat
the other side ofthe paper.
Each problem gives 10 pointsat
maximum.1.
Answer shortly
with
few wordsto
the following questions.a) How nonlinearity affects the operation of the
circuit?
Specifyat
least two issues. (2p)b)
Draw the frequency response (Bodeplot)
for the second-order low-passfilter.
(2p) c) When analyzingdigital
systems whatit
meansto multiply
byz-rt
(Zp)d)
For the givencircuit,
draw a small-signal model, which can be used to determine the transfer function.(ap)
Voo
nt* *-J
The voltage transfer function of a band-pass
filter
istrt ^\
_
-sC1G2s2C1C2
I
sC2G1+ G1G2Answer
to
following questions:a)
At
what frequency has the gain the maximum?b) What
is the-3dB
bandwidth Aa.r of the circuit?c)
What
is the Q value of the circuit?d) What
is the manimum value of the gain?2.
f'(s):
P(s)--
\-/
s2+ sff +ufi
ftr:5ko Rz:2kQ Ct:It/t
Cz
:0.1
p'F.3.
iz Rz
X1
Find
the hybrid parameter model of the circuit.,,rur, nrr: ?l*:,
. Izl
n r: ilr,:o
Ar:1O
hrz:
hzz:
_t
VI vrl,,:o
_t
Izl vzlr,:o
Rz:9
Q-4.
5.
o
Theinput
type of your amplifier is voltage. The amplifier hasinput
resistance of ,Ri and open loop gain ofK. If
you use feedback of p, whatwill
yourinput
impedance for the feedbaåk system be?o
Theoutput
type of your amplifier iscurrent.
The amplifier hasoutput
resistance of .Ro and open loop gain ofK. If
you use feedback of B, whatwill
youroutput
impedance for the feedback system be?o
You have an amplifier which has open loop gain of 80dB
and -3dB
frequencyof
10 kHz.-
You need a bandwidthof
1MHz. What
should your B be?-
Is the change possible,if
you also need closed loop gain ofat
least 40 dB?The figure shows the scattering parameters of a two
port.
Answer shortlyto
following questions.a)
At
which frequency the coupling between the ports is largest?b)
How does thecircuit
workif
you feed a signarto port
2at
frequency 1.g GHz?c)
At
which frequency hasport
1 the best matchingid) At
which frequency range hasport
2 matching level better than -10 dB?e)
What
is the optimal value for ,921if
you wantto
maximize power transfer fromport
1to
port 2?.".=a
,--;'----
I
\/.
t
t.t
;U ,'i,
r'. , I
t ,..,.I t, t ,t
.'r :
r, .i
:\:
\..: :\
..fI.,. i.
:l-'- -i- j-
, it I
rrt. ar
*r--t _
.-. ]-s *.;
II l:
,:t l:
'll
----S2 - _
"2l
Q -5-10 d)E
c,
E
-rs= c
o,(5
=
-20-25
-30
L
1.5 2.5 3
Frequency (GHz) 4.5
3.5