University of California, Berkeley
EECS 142/242M
Fall 2013
Prof. A. Niknejad
Homework 2 Solutions
1. We can neglect gmb since body is tied with source and therefore drain current is not
modulated by VBS .
(a) Since this is seriesseries (currentvoltage)
Fall 2013 EE142/242A
Homework#1
1. Many simple antennas, such as a dipole, are most efficient when they are
a significant fraction of the wavelength (quarter or half). (a) For operation at
900 MHz, what is the halfwave dipole length? (b) At 2.4 GHz? (c)
University of California, Berkeley
EECS 142
Fall 2007
Prof. A. Niknejad
Problem Set 4
Due Thursday October 4, 2007
1. (a) Calculate the transducer gain using Hybrid parameters directly. (b) For a
twoport circuit, derive the Hybrid parameters in terms of
University of California, Berkeley
MASIC 242A
Summer 2014
Prof. A. Niknejad
Problem Set 4
1. Design a matching network to match load impedance ZL = 160  j30 ohm to a 100
ohm using lumped circuits (ideal inductors and capacitors) using the concept of
res
University of California, Berkeley
MASIC 242A
Summer 2014
Prof. A. Niknejad
Problem Set 8
GLPF = 3dB
Baseband
GBPF = 2dB G1 = 15dB G2 = 50dB
NF1 = 2dB NF2 = 15dB
Gdet = 4dB
NF3 = 10dB
1. A radio receiver block diagram is shown above. Each block is imp
University of California, Berkeley
MASIC 242A
Summer 2014
Prof. A. Niknejad
Problem Set 6
1. (a) The gure below shows the inband blocker requirement for some wireless
standard. Consider two blockers at 800 kHz and 1.6 MHz away from the desired
channel w
University of California, Berkeley
MASIC 242A
Summer 2014
Prof. A. Niknejad
Problem Set 3
x1
50 ohm
x2
x3
25 ohm
50 ohm
Z0
x4
50 ohm
50 ohm
via
SMD
Figure 1:
1. The gure above shows a PCB consisting of a cascade of three microstrip line
sections terminat
University of California, Berkeley
MASIC 242A
Summer 2014
Prof. A. Niknejad
Problem Set 9
VCC = 5V
1kohm
IC(t)
vLO(t)
IC(t)
vLO(t)
VA
VA
50ohm
RE
vIF
1nF
CP
50ohm
vRF(t)
0.53pF
vLO(t)
RE
CP
VA
(a)
(b)
Figure 1
(c)
Figure 1: BJT Mixers
1. (a) Using Fig. 1
University of California, Berkeley
MASIC 242A
Summer 2014
Prof. A. Niknejad
Problem Set 7
1. Consider an inverter shown below. Assume that RF B is very large (1 Mohm), nd the
voltage gain at 100 MHz. Whats the input and output pole frequencies (assume Cg
University of California, Berkeley
MASIC 242A
Summer 2014
Prof. A. Niknejad
Problem Set 2
1. Consider a FET amplier with series feedback RSS . Use a smallsignal model that
includes gm , Cgs , ro , but neglect Cgd , Cdb , and gmb (Why can you ignore gmb
University of California, Berkeley
MASIC 242A
Summer 2014
Prof. A. Niknejad
Problem Set 5
1. Find the bias current for classA a power ampliers delivering 0, 24, 30 dBm of
output power at maximum drain eciency in three dierent technologies. The
maximum s
Resistive Circuits
R2
R1
RT
2
vT n
VS
R3
RL
RL
VT,s
For an arbitrary resistive circuit, we can nd the equivalent
noise by using a Thevenin (Norton) equivalent circuit or by
transforming all noise sources to the output by the appropriate
power gain (e.g. v
Review of CMOS Device Frequency Response
Niknejad
Tuned Amps
CMOS Cross Section
NMOS
PMOS
VDD
S
n+
G
p+
S
D
p+
p+
G
n+
Lov
D
n+
L
nwell
ptype substrate
Modern short channel CMOS process has very short channel
lengths (L < 100 nm). To ensure gate control
SignalFlow Analysis
S21
a1
b2
S22
S11
b1
S12
a2
Each signal a and b in the system is represented by a node.
Branches connect nodes with strength given by the
scattering parameter. For example, a general twoport is
represented above.
Using three simple r
Wired and Wireless
Communication
Block Diagram of Communication System
music, voice, video,
data, bits + compression
+ coding
Information
Source
mixer, PLL, VCO
driver, VCO,
power amplifier
Modulator
Transmitter
Channel
Information
Sink
video display, spe
EECS 142/242A
Course Overview
Prof. Ali M. Niknejad
University of California, Berkeley
Course Logistics
Instructor: Ali Niknejad ([email protected])
Graduate Student Instructors: NaiChung Kuo
and Andrew Townley (Lab)
Course websites:
http:/rfic.ee
University of California, Berkeley
EECS 142
Fall 2005
Prof. A. Niknejad
Problem Set 1
Due Tuesday, September 13, 2005
A shuntfeedback amplifier is implemented in an fT=25GHz bipolar process. Important
spice parameters for the BJT are given below:
IS=1fA
University of California, Berkeley
EECS 142
Fall 2005
Prof. A. Niknejad
Problem Set 8
Due Tuesday, November 22, 2005
1.
Shown on the next page is a simple, 2GHz quadrature direct downconverter. We
will look at two types of LO waveform that it might be dr
University of California, Berkeley
EECS 142
Fall 2007
Prof. A. Niknejad
Problem Set 7
Due Thursday November 1, 2007
Vdd
Ibias
RD
M4
vo
M2
RS
+
vs
C
M1
RB
M6
M3
M5
C
RS1
RS2
RS3
.model n0035 mos1 type=n kp=200ua vto=.45v lambda=.1429
+gamma=.6 phi=.6v tox=
University of California, Berkeley
EECS 142
Fall 2007
Prof. A. Niknejad
Problem Set 10
Due Tuesday December 4, 2007
IC
IC
VA
+
vi
vi
RE
CE
VA
VA
1. An ideal bipolar device operated under large signal sinusoidal drive can
be modeled with the following Four
University of California, Berkeley
EECS 142
Fall 2007
Prof. A. Niknejad
Problem Set 6
Due Thursday, October 25, 2007
VCC
RL
CL
CL
+
RL
Vout


Vmid
+
Ccoup
Ccoup
+
Vin

RE
Rbias
Rbias
RE
Rbias
Rbias
2.6mA
2.6mA
1.5V
VCC = 2.5, RE = 60, RL = 160, Rbias =
University of California, Berkeley
EECS 142
Fall 2007
Prof. A. Niknejad
Problem Set 9
Due Tuesday November 27, 2007
VDD
RL
CL
vo
VLO + Vb2
C1
M2
M3
Vb2
L2
vs
M1
L3
L1
Vb1
1. All devices are minimum channel 0.25 m devices. L1 = 1 nH,
L2 = 35 nH, L3 = 9.2 n
University of California, Berkeley
EECS 142
Fall 2007
Prof. A. Niknejad
Problem Set 8
Due Thursday November 13, 2007
R1
C1
RL
1. For the simple RC lowpass lter, calculate (a) the total output noise voltage as a
function of frequency, (b) the noise gure a
University of California, Berkeley
EECS 142
Fall 2007
Prof. A. Niknejad
Problem Set 5
Due Thursday October 11, 2007
VCC
RQ
RC
vo
vi
Q1
Q2
CL
CB
Q5
Q4
Q3
RB
IS = 1fA
BF = 250
V AF = 50V ISE = 300fA
NE = 2
BR = 10
NR = 1
V AR = 2V
ISC = 200fA
NC = 1
RB = 5
University of California, Berkeley
EECS 142
Fall 2007
Prof. A. Niknejad
Problem Set 2
Due Thursday September 13, 2007
1. Consider a voltage source with series impedance ZS driving a load impedance ZL .
Find the optimum source impedance to maximize the pow
University of California, Berkeley
EECS 142
Fall 2007
Prof. A. Niknejad
Problem Set 1
Due Tuesday September 6, 2007
Answer the following questions to the best of your ability. Feel free to ask the GSI or
instructor for help.
1. Many simple antennas, such
University of California, Berkeley
EECS 142
Fall 2005
Prof. A. Niknejad
Problem Set 5
Due Tuesday, October 18, 2005
VCC
RL
CL
CL
+
Vout


Vmid
RL
+
Ccoup
Ccoup
+
Vin

RE
Rbias
Rbias
RE
Rbias
Rbias
2.6mA
2.6mA
1.5V
VCC = 2.5, RE = 60, RL = 160, Rbias =
University of California, Berkeley
EECS 142
Fall 2005
Prof. A. Niknejad
Problem Set 6
Due Tuesday, November 3, 2005
1) For the receiver shown below, assume SAW1 and SAW2 are the same and have the
bandpass characteristics plotted below. Assume SAWIF is a
University of California, Berkeley
EECS 142
Fall 2005
Prof. A. Niknejad
Problem Set 7
Due Thursday, November 10, 2005
1.
The circuit below is the receiver of a medical implant It works by receiving a
very strong signal at 25 MHz and a weaker, modulated si
University of California, Berkeley
EECS 142
Fall 2005
Prof. A. Niknejad
Problem Set 3
Due Thursday, September 29, 2005
1. For the commonbase amplifier shown, calculate the Y parameters, stability factor K,
and ideal power gain GTmax at 2.4GHz. Neglect RB