of 9
IEEE Communications Magazine • August 2004
122
0163-6804/04/$20.00 © 2004 IEEE
T
OPICS IN
C
IRCUITS FOR
C
OMMUNICATIONS
I
NTRODUCTION
Space is the next frontier for wireless communi-
cations as networks evolve to meet higher data
rate and quality of service requirements. It is
becoming increasingly difficult to achieve further
improvements in spectral efficiency using pure
time and frequency domain methods. Interest-
ingly, there are spatial methods that can be used
to improve data rates without the dreaded
increase in bandwidth. Therefore, exploiting the
spatial dimension for improving spectral efficien-
cy is an area of rapidly increasing interest. Multi-
ple antenna systems have been identified as one
means of effectively increasing spectral efficiency
by taking advantage of spatial directivity and
diversity, as well as array gain via the multipath
scattering present in most indoor and urban
environments. The antenna size and the spacing
between the elements are inversely proportional
to the frequency. This inspires a move to higher
frequencies to leverage spatial processing tech-
niques, as multiple antenna systems can be made
physically smaller. In addition, larger bandwidths
are available at higher frequencies. Small-sized
highly integrated low-power multiple-antenna
systems can also be used for ranging and sensing
applications such as radar.
In 2002 the FCC released the guidelines for
operation of wireless devices at 24 GHz [1]. It
permits fixed point-to-point wireless communica-
tion in the 24–24.25 GHz band subject to limita-
tions on the transmitted power and directionality
of the transmitter. The FCC has also opened up
7 GHz of bandwidth from 22–29 GHz for vehic-
ular radar applications. Short-range vehicular
radar systems are expected to play an important
role in collision prevention and driver assistance
in the future (e.g., assisted parking and blind
spot detection). The 24 GHz band already has
users, particularly in the fields of remote sensing
and astronomy. Interestingly, in addition to spec-
ifications limiting transmitted power to different
levels at different frequencies (i.e., the spectral
emissions mask), there is a spatial specification
as well. The phased array approach provides a
natural solution to these challenges.
As opposed to a fixed directional antenna
system, phased arrays allow the beam to be
steered electronically in different directions,
enabling accurate velocity and location estima-
tion of objects that appear within the narrow
beam. In addition to vehicular radar applica-
tions, such object and motion sensors could
potentially be useful in many other applica-
tions.
Taking advantage of silicon integration, spa-
tial processing, and large available bandwidth
will make
gigabit wireless LAN
and
low-cost versa-
tile vehicular radar
a reality. In this article we dis-
cuss the integration issues for such a
multiple-antenna system in silicon and demon-
strate the first silicon-based fully integrated
phased array receiver at 24 GHz.
P
HASED
A
RRAY
: A S
PECIAL
C
ASE OF
MIMO S
YSTEMS
Antenna arrays can be implemented on either
the transmit side (multiple-input single-output:
MISO), the receive side (single-input multiple-
output: SIMO), or both ends (multiple-input
multiple-output: MIMO).
In MIMO systems, prevalent multipath scat-
tering increases channel capacity by creating
stochastically independent channels between
each of the transmitter and receiver antenna
array elements. For example, if there are
n
ele-
ments on each of the transmitter and receiver
sides, scattering effectively creates
n
parallel
channels between the transmitter and the receiv-
er [2, 3]. The theoretically promised linear
increase in capacity is never fully realized in
practice because the effective channels created
are not completely independent. Although the
improvement factor is often less than
n
, practical
demonstrations of MIMO systems have shown
A. Hajimiri, A. Komijani, A. Natarajan, R. Chunara, and X. Guan, California Institute of Technology
H. Hashemi, University of Southern California
A
BSTRACT
Phased array systems, a special case of MIMO
systems, take advantage of spatial directivity and
array gain to increase spectral efficiency. Imple-
menting a phased array system at high frequency
in a commercial silicon process technology pre-
sents several challenges. This article focuses on
the architectural and circuit-level trade-offs
involved in the design of the first silicon-based
fully integrated phased array system operating at
24 GHz. The details of some of the important
circuit building blocks are also discussed. The
measured results demonstrate the feasibility of
using integrated phased arrays for wireless com-
munication and vehicular radar applications at
24 GHz.
Phased Array Systems in Silicon
IEEE Communications Magazine • August 2004
123
that substantial increase in channel capacity is
possible (20–40 b/s/Hz for an 8-transmitter 12-
receiver MIMO system [4]). However, the spac-
ing between antennas has proven to be a
practical barrier to the implementation of multi-
ple antenna arrays for mobile applications at fre-
quencies in the low gigahertz range (e.g.,
λ
~ 15
cm @ 2 GHz). The size constraints mandate the
move to higher frequencies.
Phased array, historically employed in radar
and radio astronomy applications, is a class of
multiple antenna systems. It can form beams and
nulls in desired directions by controlling the time
delay and gain of the signal in each path inde-
pendently. The array gain and spatial directivity
achieved in a phased array system provide a log-
arithmic increase in channel capacity with an
increase in the number of elements in the phased
array due to the logarithmic dependence of
channel capacity on signal-to-noise ratio (SNR).
The benefits provided by the beam directionality
of a phased array transmitter, shown in Fig. 1a,
can be likened to the advantages of a narrow
flashlight beam over the omnidirectional incan-
descent bulb. In a flashlight, most of the light
energy is focused only in the desired direction,
as opposed to a bulb’s indiscriminate illumina-
tion in all directions. Thus, to obtain a given
power intensity at the destination, much lower
power needs to be radiated at the source for a
directional beam, as compared to an omnidirec-
tional one. At the same time, less interference is
generated via this collimation of power.
Similarly, in phased array receivers, signals
from multiple antennas are delayed individually
to compensate for the path length difference in
that direction and are then added coherently. As
shown in Fig. 1b, phased array systems are capa-
ble of amplifying signals coming from one direc-
tion while attenuating interfering signals from
other angles.
A phased array increases the effective SNR at
the output of the receiver, thereby improving its
sensitivity. With sufficient antenna spacing, the
black-body radiation noise of each antenna is
uncorrelated to the noise of the other antennas
in the array. Furthermore, the receiver noise
sources in each signal path before power com-
bining are independent. As a result, the time-
delayed signals from the antenna array add in
amplitude (coherently) while the noise adds in
power (incoherently). This results in a 10log
10
(
n
)

Figure 1.
(a) A phased array transmitter focuses the beam at a desired angle; b) a phased array receiver
focuses on the desired signal while it attenuates an interferer coming from another direction.
(a)
(b)
Receiver
active beam
Receiver
antenna array
Beam null
Interference
Wave
front
T
k
α
T
tn
Delay
G
tn
T
t
2
G
t
2
T
t
1
G
t
1
G
rn
G
r
2
G
r
1
T
rn
Delay
T
r
2
T
r
1
Transmitter
active beam
Transmitter
antenna array
The array gain and
spatial directivity
achieved in a
phased-array
system provide a
logarithmic increase
in channel capacity
with an increase in
the number of
elements in the
phased-array due to
the logarithmic
dependence of
channel capacity on
signal-to-noise ratio.
IEEE Communications Magazine • August 2004
124
[dB] improvement in the SNR at the output of
the
n
element phased array receiver.
The improvement in the SNR at the target
phased array receiver and reduction in the level
of interference generated for other users because
of the directionality of a phased array transmit-
ter lead to substantially higher data rates and
frequency reuse ratios, while lowering the power
requirements of the transmitter. Although there
are more active elements in a phased array sys-
tem, its power consumption is still lower than
that of single-path systems for the same data
rate.
D
ELAYED
A
RRAY OR
P
HASED
A
RRAY
?
Phased array is perhaps a misnomer for these
systems given that true time delay, and not phase
shift, is required in each path for coherent addi-
tion of signals. As shown in Fig. 1b, when a
plane electromagnetic wave arrives at an anten-
na array at an angle of
α
with respect to the nor-
mal to the array plane, the signal is received by
each antenna at a different time due to the dif-
ference in propagation path length. In general,
an angle-dependent time delay in each path at
the receiver can compensate for the arrival delay
and effectively “listen” to a desired direction. In
a one-dimensional array, the angle of incidence,
α
, is related to the delay difference of two adja-
cent elements,
T
, the spacing of two adjacent
antennas,
D
, and the speed of light,
c
, via
D
.sin(
α
) =
c
.
T
.
(1)
The beam forming works independent of the fre-
quency and bandwidth of the signal with ideal
delay elements following each antenna, as shown
in Fig 1b. Unfortunately, there are practical
challenges to implement such broadband delay
elements in the radio frequency (RF) signal
path, such as signal attenuation, noise, and lin-
earity degradation, as well as signal dispersion.
Fortunately, in many practical applications, par-
ticularly in wireless communications, the band-
width of interest is a small fraction of the center
frequency; hence, a uniform delay (linear phase)
is only required over this narrow bandwidth. A
simple way to realize the delay is to approximate
it with a constant phase shift. This aligns the car-
rier phase of different paths. However, the mod-
ulating signal is not delayed appropriately,
leading to some dispersion in the demodulated
signal. A higher modulation-bandwidth-to-carri-
er-frequency ratio results in larger signal disper-
sion, manifested by the spreading of the
constellation points. This distortion results in an
increased bit error rate (BER) in wireless com-
munication systems and in a reduced radial reso-
lution in radar applications.
The effect of using phase shifting instead of
true time delay compensation can be seen in the
simulation results shown in Figs. 2a and 2b.
They show the simulated constellation of the
received signal (without noise) for an eight-ele-
ment phased array receiver at bit rates of 1 Gb/s
and 10 Gb/s at the worst case incident angle of
90
°
with respect to normal, using a quaternary
phase shift keying (QPSK) binary-coded complex
modulation scheme with a carrier frequency of
24 GHz. The antenna elements are placed
λ
/2 =
2.5 mm apart in a one-dimensional array of
eight. Receiver noise was not simulated to fully
expose the limitations of the constant phase
approximation. A square-root raised cosine fil-
ter with a rolloff factor,
β
, of 0.5 is used at both
transmitter and receiver for pulse shaping. A
β
of 0.5 corresponds to a spectral efficiency of 1.33
b/s/Hz.
As the direction of the beam becomes more
oblique, the delay between the paths increases,
and so does the error introduced by constant
phase shift approximation. The constellation
spreading is a function of the signal’s angle of
incidence, ratio of signal bandwidth to carrier
frequency, and pulse shaping used. Error vector
magnitude (EVM) is a measure of constellation
spreading and is the root mean squared differ-
ence between the perfectly demodulated and
measured signals. The EVM of the received sig-
nal was calculated for different signal band-
widths and angles of incidence, and the results
are plotted in Fig. 2c, assuming continuous
phase control at the local oscillator (LO). As can
be seen, for a carrier of 24 GHz, even for bit
rates as high as 1 Gb/s and an incidence angle of
90
°
(worst case), EVM is lower than 2 percent,
so the signal integrity is maintained without
additional equalization. Given the 250 MHz
wireless communication bandwidth, phase shift
of the carrier at 24 GHz (a
BW
/
f
center
close to a
factor of 0.01) is a very good approximation for
the delay and sufficient for reliable communica-
tion. However, for broadband communication or
to achieve fine radial resolutions in pulsed
phased array radars, it may be necessary to use a
better approximation of the actual delay rather
than constant phase shift.
A phase shifter implementation in which the
phase can be varied in discrete steps only intro-
duces additional dispersion for certain angles of
incidence, as shown in Fig. 2d. For example, in
the phased array receiver described in this arti-
cle, 16 discrete phases of LO are interpolated to
obtain 32 discrete phases (5-bit resolution) that
are then used to compensate the narrowband
phase shift of the carrier frequency in each path.
This discrete method can only precisely compen-
sate the carrier phase shift at 32 angles of inci-
dence between –90
°
and +90
°
. For all other
angles, the signal constellation in each received
path is rotated by an angle equal to the phase
quantization error, which depends on the exact
phase shift necessary in each path for the given
angle of incidence. Since the constellation for
each receiver path is rotated differently, there
will be interference between the in-phase (I) and
quadrature-phase (Q) demodulated channels.
Figure 2d plots the simulated EVM as a func-
tion of the angle of incidence when discrete
phase shifts are used at the receiver for 8, 16,
and 32 available phases, as well as a continuous
version (Fig. 2c). The signal has a bandwidth of
7.5 GHz, and all other simulation parameters
are identical to those used in Figs. 2a and 2b.
Using a 5-bit phase shifting scheme with phase
steps of 5.6
°
causes a peak EVM of 12 percent
at an incidence angle of 75
°
, which is only 1.14
times larger than the peak EVM generated if an
Although there are
more active elements
in a phased array
system, its power
consumption is still
lower than that of
single-path systems
for the same data
rate.
IEEE Communications Magazine • August 2004
125
LO with continuous phase shifting were avail-
able. In the latter case, the peak naturally hap-
pens at an incidence angle of 90
°
, which
corresponds to the largest time delay between
antennas. It is evident from Fig. 2d that a 3-bit
phase shifting resolution results in a much larger
EVM relative to a 5-bit phase resolution. If a 3-
bit phase shifting scheme with 45
°
phase steps
were used, this peak would occur at an incidence
angle of 60
°
, with a peak EVM value 180 per-
cent higher than the peak EVM value for a con-
tinuous version. The relative degradation due to
a coarse phase resolution increases for higher
bandwidth-to-carrier ratios.
S
ILICON
I
MPLEMENTATION
Advances in silicon process technologies for
integrated circuits have resulted in very fast tran-
sistors with cutoff (unity current gain) frequen-
cies above 100 GHz. However, transistor speed
is only one of the parameters affecting system
operation. Additional constraints imposed by the
low breakdown voltages, losses of integrated pas-
sive elements, low power budget, as well as cost
and area constraints have important bearings on
overall system performance. Therefore, the
architecture of the phased array system has to be
chosen carefully to ensure repeatability and reli-
ability.
Ideally, broadband variable delays are needed
to make the signals from all the paths coherent
before they are combined. Such a variable delay,
if implemented in the signal path at RF, can
reduce power consumption. The gain of the
delay stage should be independent of the delay,
as a change in amplitude with different delays
will lead to distortion when the signals are com-
bined. Thus, the delay element should have large
and accurate variations in delay (0–140 ps @ 24
GHz for an 8-element array, with spacing of
λ
/2
between antennas) and low loss. Such delay ele-
ments are quite challenging to implement.
As mentioned before, for narrowband signals
the delay can be approximated by a phase shift.
Figure 3 shows the different stages at which the
phase shift can be implemented in a simple two-
element phased array receiver example. In the
signal path, the phase shift can be provided at
RF (Fig. 3a), intermediate frequency (IF)/base-

Figure 2.
The simulated constellation for a QPSK modulation scheme at a carrier frequency of 24 GHz for bandwidths of: a) 750
MHz and b) 7.5 GHz; c) EVM for the two constellation in Fig. 1a and b vs. angle of incidence; d) the effect of phase quantizati
on error
for 3-bit, 4-bit, and 5-bit resolution at different beam angles compared to continuous LO phase resolution.
BW = 750 MHz,
f
c
= 24 GHz
Data rate = 1 Gb/s
(a)
Incidence angle ( ̊)
(c)
60
90
0
0
4
EVM (%)
8
12
30
Incidence angle ( ̊)
(d)
60
90
0
0
4
EVM (%)
8
12
30
1 Gb/s
10 Gb/s
BW = 7.5 GHz,
f
c
= 24 GHz
Data rate = 10 Gb/s
(b)
Continuous phases
32 phases (with
interpolation
)
16 phases (raw)
8 phases
IEEE Communications Magazine • August 2004
126
band (Fig. 3b), or digitally (Fig. 3c). Equivalent-
ly, the phase shift can also be provided by down-
converting the signal in each path with a phase
shifted LO signal (Fig. 3d). The architecture
selection is accompanied, as always, by certain
trade-offs in power consumption, capacity, sili-
con area, and system reliability.
An architecture with controllable phase
shifters in each RF path and signal combining at
RF has advantages with respect to lower power
consumption as there only needs to be one
IF/baseband stage (Fig. 3a). Additionally, since
all the interferers are nulled out at RF, the lin-
earity requirements of the IF/baseband stage are
reduced. If the signal is delayed by time,
τ
, the
carrier at frequency
f
c
undergoes a phase shift
equal to 2
π
f
c
τ
. Since a phase shift of
θ
is equiva-
lent to a phase shift of 2
π
+
θ
, the phase shifter
only needs to provide phase shifts between 0 and
2
π
. Again, the gain should be constant across
phase shifts, and the phase shifter should have
low loss. There have been some phase shifters
reported at lower frequencies, but their size and
performance do not make them suitable for an
integrated phased array system. The study of
high-frequency phase shifters is an active area of
research [5].
While it is possible to utilize phase shifters in
the IF stage, they increase power consumption
because in an
n
element receiver, there will have
to be
n
downconversion mixers before the phase
shifters (Fig. 3b). Since the value and therefore
the size of passive components (i.e., inductors,
capacitors, and transmission lines) needed to
provide phase shift is inversely proportional to
the frequency, implementing the phase shifters
at IF will increase system area.
Another architectural choice is to do away
with analog phase shifting entirely, opting for
baseband digital delay (Fig. 3c). This increases
the flexibility of the system, as it can now be
configured as both a phased array or a MIMO
system depending on the application. However,
this advantage is offset by the high power con-
sumption of such a system, which is essentially
equivalent to
n
receivers operating in parallel
while sharing no blocks except the frequency
synthesizer. Also, it places tough performance
criteria on the analog-to-digital (A/D) converter
in order to provide accurate delay. Additionally,
as the interferers are still present, the linearity
and dynamic range of the IF stage and A/D con-
verter will also have to be substantially higher,
leading to higher power consumption. As an
illustration, imagine a digital array of eight
receivers where each has an 8-bit A/D converter
that samples the signal with a 100 MHz channel
bandwidth at twice the Nyquist rate. These num-
bers are reasonable for such a system. The base-
band data-rate of the whole system can be
calculated as 76.8 Gb/s. This requires a high-
speed interface, and a power-hungry and expen-
sive signal processing core.
As compared to a signal path implementation
at RF, IF, analog baseband, or digital signal pro-
cessing, a phase shifter in the LO stage is rela-
tively easier to implement (Fig. 3d). Since the
downconversion mixers have their best perfor-
mance when they are hard-driven, the LO stages
should preferably be operated in saturation.

Figure 3.
Different architectures for implementing phase shift: a) RF phase shifting; b) IF phase shifting;
c) digital phase shifting; d) LO path phase shifting.
A/D
(d)
DSP
Phase (time) shift
Amplitude control
Combine
(a)
RF
phase shift
Digital
phase shift
A/D
θ
θ
θ
IF
IF
A/D
A/D
A/D
(c)
(b)
IF
phase shift
LO path
phase shift
As compared to a
signal path
implementation at
RF, IF, analog
baseband, or digital
signal processing, a
phone shifter in the
LO stage is relatively
easier to implement.
IEEE Communications Magazine • August 2004
127
Noting that the output of the VCO has constant
amplitude as well, the amplitude and phase vari-
ations can be completely decoupled. Therefore,
each path will have a constant gain irrespective
of phase shift. Since in this architecture there is
only one IF amplifier followed by two (I and Q)
A/D converters, the power consumption is
reduced from that of an IF phase shift architec-
ture.
A 24 GH
Z
P
HASED
A
RRAY
R
ECEIVER
The trade-offs described above led to an LO-
phase-shifting-based phased array receiver. The
block diagram and circuit schematics of the
eight-element 24 GHz phased array receiver are
shown in Fig. 4. In order to avoid the dc offset
and other problems associated with a homodyne
receiver, a two-stage heterodyne radio architec-
ture was adopted (Fig. 4a). The two LO fre-
quencies were chosen to be 19.2 GHz and 4.8
GHz. With this choice, both LO frequencies can
be generated in one frequency synthesizer phase-
locked loop with the use of a frequency divide-
by-four block.
The phased array receiver has been designed
and fabricated in a IBM 7HP SiGe BiCMOS
process with maximum cutoff frequency,
f
T
, of
120 GHz for bipolar devices and minimum chan-
nel length of 0.18
μ
m for complementary metal
oxide semiconductor (CMOS) transistors [6].
The process offers five metal layers. As the top

Figure 4.
a) The block diagram of the eight-path phased array receiver implemented in silicon; b) phase selection circuitry; c) 24 GHz
low noise amplifier; d) RF mixer and combiner; e) multiple-phase LO.
LO
φ
1...8-
(c)
V
out-
V
out+
V
in-
V
bias
270
°
247.5
°
225
°
45
°
67.5
°
90
°
(e)
112.5
°
135
°
167.5
°
0
°
22.5
°
202.5
°
180
°
337.5
°
315
°
292.5
°
V
CNTRL
V
in+
-
-
+
+
V
bias1
V
bias2
V
bias2
RF
LO+
LO+
IF+
IF-
Matched
to LNA
output
(d)
IF+ IF-
Mixer
cell 1
RF1
LO1-
LO1+
V
bias
V
bias
V
in
V
dd
V
out
V
dd
IF-
IF+
IF1+
IF1-
IF3+
IF3-
IF2+
IF2-
IF5+
IF5-
IF4+
IF4-
IF7+
IF7-
IF8+
IF8-
IF6+
IF6-
(b)
90
°
Phase-selector
Sign-selector
67.5
°
45
°
V
dd
V
dd
V
dd
V
bias
V
bias
V
dd
V
dd
LO
φ
1...8-
LO
φ
8-
LO
φ
8+
sel
φ
1
LO
φ
1...8+
22.5
°
112.5
°
135
°
157.5
°
0
°
16:1 phase-selector
φ
1
LO1
φ
1
LO1
16:1 phase-selector
φ
2
LO1
16:1 phase-selector
φ
3
LO1
16:1 phase-selector
φ
4
LO1
16:1 phase-selector
φ
5
LO1
16:1 phase-selector
φ
6
LO1
16:1 phase-selector
φ
7
LO1
16:1 phase-selector
19.2GHz 16-phase
VCO
Phase frequency
detector
φ
1...
φ
16
Phase-select
shift-register
Band-gap
and PTAT
references
bit
in
Q
BB
I
BB
V
cntrl
CLK
φ
8
LO1
LNA RF mixer
24-GHz
4.8-GHz
75-
MHz
IF
mixer
IF
amplifier
LO2_I
LO2_Q
(a)
BB
buffer
-
-
+
+
-
-
+
+
-
-
+
+
-
-
+
+
-
-
+
+
-
-
+
+
-
-
+
+
ref
in
V
supply
φ
2
LO1
φ
3
LO1
φ
4
LO1
φ
5
LO1
φ
6
LO1
φ
7
LO1
φ
8
LO1
÷
4
LO2_Q
LO2_I
Loop filter
Charge pump
÷
4
V
dd
V
dd
V
dd
V
dd
V
dd
V
dd
V
dd
LO
φ
1...16-
LO
φ
1...16+
LO
φ
1...8+
sel
180
°
sel
180
°
LO
φ
1
..8+
LO
φ
2+
LO
φ
1+
LO
φ
2-
. . .
sel
φ
2
sel
φ
8
Mixer
cell 1
RF1
LO1-
LO1+
Mixer
cell 2
RF2
LO2-
LO2+
Mixer
cell 3
RF3
LO3-
LO3+
Mixer
cell 4
RF4
LO4-
LO4+
Mixer
cell 5
RF5
LO5-
LO5+
Mixer
cell 6
RF6
LO6-
LO6+
Mixer
cell 7
RF7
LO7-
LO7+
Mixer
cell 8
RF8
LO8-
LO8+
V
dd
Σ
IEEE Communications Magazine • August 2004
128
two metal layers are thicker, they are used for
on-chip routing of high-frequency signals and
implementing on-chip spiral inductors. The
receiver can be broadly divided into circuits in
the signal path, and circuits for LO generation
and phase selection. It is important to note that
while this architecture is more suitable for beam-
forming, the circuits in themselves are still appli-
cable to a full
n
-element MIMO receiver.
S
IGNAL
P
ATH
Each RF front-end consists of a two-stage low
noise amplifier (LNA) (Fig. 4c) and a Gilbert-
type mixer. The outputs of all eight mixers are
combined in the current domain and terminated
with a tuned load at the IF frequency, as shown
in Fig. 4d. Impedance matching networks were
implemented on-chip between RF stages to max-
imize power transfer. More information on the
design of the front-end can be found in [7]. The
image frequency of the first downconversion is
located at 14.4 GHz. The signals at this frequen-
cy are attenuated by the narrowband transfer
function of the front-end (i.e., antenna and
LNA). The cascaded LNA stages alone provide
around 35 dB of image rejection. Since the trans-
missions around the image frequency band (14.4
GHz) are mainly low-power satellite signals, no
image rejection architecture is used at the RF
stage. The final downconversion to baseband is
done by a pair of quadrature mixers. The divide-
by-four block that is used to generate the second
LO naturally produces in-phase and quadrature-
phase signals to drive these mixers.
LO M
ULTIPLE
P
HASE
G
ENERATION
A single oscillator core is used to generate mul-
tiple phases of a single frequency. Multiple phas-
es can be generated by extracting signals from
equidistant nodes of an oscillator loop, as shown
in Fig. 4e. A phase shift of 360
°
is maintained
across the oscillator feedback loop in order to
maintain stable oscillation. In our design, a ring
comprising 8 fully-differential CMOS amplifiers
forms the 19 GHz VCO capable of generating
16 phases. As the structure is differential, flip-
ping one of the connections halves the number
of amplifying stages in the ring from 16 to 8.
Each amplifier produces a phase shift of 22.5
°
phase shift at 19 GHz (Fig. 4e). It can be shown
that in order to achieve a 22.5
°
phase shift, each
amplifier should be tuned close to the oscillation
frequency. Each of the designed amplifier stages
draws less than 3.2 mA from a 2.5 V supply,
resulting in total power consumption of 63 mW
for the oscillator.
P
HASE
D
ISTRIBUTION AND
S
ELECTION
The oscillator core generates 16 discrete phases
that are used to control the phase of each path.
The 16 generated phases of the VCO are fed
into the phase selection circuitry of each path in
a symmetric manner to ensure that the delays of
the traces connecting these blocks are equal for
all the oscillator phases. The phase selectors
(Fig. 4b) can be digitally controlled to interpo-
late between two adjacent phases; thus generat-
ing 32 equally spaced LO phases. However,
there may be amplitude and phase variations in
each path. These variations are because of the
mutual coupling and the small mismatches in
delivering the LO phases to different receiver
paths. For example, based on electromagnetic
simulations, the wavelength of a 19 GHz signal
in a typical microstrip line in the silicon technol-
ogy used is about 6 mm; hence, a length differ-
ence of 40
μ
m corresponds to a phase difference
of 2.5
°
. The phase and amplitude mismatches
among various paths deteriorate the side lobe
attenuation or equivalently degrade the ability of
the phased array to reject interfering signals.
Figure 5a shows the symmetric tree structure
used to transfer all 16 phases of the LO signals
to the phase selection circuitry of each path with
minimal mismatch between the paths. Figure 5b
shows the ordering of the phases in the LO
phase distribution network. It was determined
that this ordering minimized the coupling
induced mismatch. In order to reduce the loss,
the top two metal layers in the process were
used for distributing multiple LO phases. The
minimum spacing between lines in these thicker
metal layers is around 5
μ
m; therefore, the phase
distribution network occupies a significant frac-
tion of the chip area. The large size of the LO
phase distribution network, and sensitivity to
mismatch and coupling is a disadvantage of this
architecture.
The phase selectors in each path provide the
appropriate phase of the LO to the correspond-

Figure 5.
a) Tree structure for LO phase distribution; b) order of angles in the LO distribution network.
T1
Rs
Rs
0
(a)
(b)
16
1st path
16
2nd path
16
3rd path
16
4th path
16
5th path
16
6th path
16
7th path
16
8th path
16
16
16
16
16
16
16
T2
Rs
Rs
π
T3
Rs
Rs
θ
+
π
T4
Rs
Rs
θ
T5
Rs
Rs
2
θ
T6
Rs
Rs
2
θ
+
π
T7
Rs
Rs
3
θ
+
π
T8
Rs
Rs
3
θ
T15
Rs
Rs
7
θ
+
π
T16
Rs
Rs
7
θ
The 16 generated
phases of the VCO
are fed into the
phase selection
circuitry of each
path in a symmetric
manner to ensure
that the delays of
the traces
connecting these
blocks are equal for
all the oscillator
phases.
IEEE Communications Magazine • August 2004
129
ing RF mixer. The phase selectors are equivalent
to analog multiplexers, and the LO phase for
each path is controlled irrespective of the phase
of the other paths. The phase selection data is
serially loaded to an on-chip shift register using
a digital serial interface.
The phase selector in each receiver path has
access to all 16 phases of the LO via the 8 differ-
ential LO outputs. In order to minimize the
phase-selection circuit complexity, the appropri-
ate phase of the local oscillator for each path is
selected in two steps. Initially, an array of 8 dif-
ferential pairs with switchable current sources
and a shared tuned load are used to select one
of the 8 differential outputs of oscillator (Fig.
4b).
This topology accommodates phase interpola-
tion using the appropriate digital control word.
When two (or more) phase branches are select-
ed by turning on the tail current sources associ-
ated with those phases, the current addition at
the output results in interpolation between the
two (or more) selected phases, as shown in Fig.
4b. By interpolating two adjacent phases, 32
equally spaced phases (5-bit resolution) can be
generated.
The next stage consists of two cross-coupled
differential pairs. This stage can provide either a
0
°
or 180
°
phase shift (i.e., the output is either
the input or its inverted version). The two stages
of phase selection result in complete access to
all LO phases. Notably, the two stages are
designed to provide high gain in order to restore
the amplitude of the LO signal that is attenuated
because of the loss of the distribution network
and mismatch between components.
M
EASURED
P
ERFORMANCE
The results of the measurements performed on
the receiver have been summarized in Fig. 6a.
The overall noise figure of the system is 7.4 dB
over a bandwidth of 250 MHz. The array func-
tion improves the output signal power by 18 dB
while increasing the noise power only by 9 dB,
resulting in an improvement of 9 dB in the out-
put SNR compared to the SNR at the antenna
for eight elements. Therefore, the SNR at the
baseband is about 1.6 dB
better
than the SNR at
each antenna. Figure 6b shows the measured
beam formed when signals from four paths are
added after phase shifting for three different
angles and compares it to the theoretically calcu-
lated patterns. Due to the inherent agility of the
phase selection blocks, the phase configuration
can be switched at a speed on the order of the
logic switching time. Signal combining in the
current domain results in an increase in the sig-
nal power of 18 dB. Thus. the eight-element

Figure 6.
a) Measured receiver performance summary; b) four-element theoretical and measured array
patterns; and c) die photo of the eight-path fully integrated receiver implemented in silicon.
3.5 mm
3.3 mm
LO phase
distribution
1 RF channel
(LNA and
mixer)
1-channel
phase
selector
Biasing
circuitry
16-phase
oscillator
Frequency
synthesizer
IF mixers and
BB amps
90
°
0
°
1
0.8
0.6
0.4
Theoretical
170
°
160
°
150
°
140
°
130
°
120
°
110
°
100
°
80
°
70
°
60
°
50
°
40
°
30
°
20
°
10
°
Peak gain
Noise-figure
Input referred
1 dB comp. point
IIP3
On-chip image
rejection
Input reflection
coefficient (
S
11
)
43 dB
Total array gain
61 dB
Technology
IBM 7HP SiGe,
120 GHz HBT
0.18
μ
m CMOS
Die area
3.5 mm
×
3.3 mm
SNR improvement 9 dB
Beam steering
resolution
< 10
°
Beamforming
peak-to -null ratio
Up to 20 dB
(four-path)
Power dissipation
@ 2.5 V
287 mA
7.4 dB
27 dBm
11.5 dBm
35 dB
10 to
20 dB
Signal path performance (per path)
Synthesizer
locking range
2 GHz (10%)
K
VCO
2.1 GHz/V @
19.2 GHz
VCO phase-noise
103 dBc/Hz @
1 MHz offset
LO path performance
Complete receiver performance
(eight paths)
Implementation
(a)
(b)
(c)
90
°
0
°
1
0.8
0.6
0.4
0.2
0
Measured
170
°
160
°
150
°
140
°
130
°
120
°
110
°
100
°
80
°
70
°
60
°
50
°
40
°
30
°
20
°
10
°
90
°
0
°
1
0.8
0.6
0.4
0.2
0
Measured
170
°
160
°
150
°
140
°
130
°
120
°
110
°
100
°
80
°
70
°
60
°
50
°
40
°
30
°
20
°
10
°
90
°
0
°
1
0.8
0.6
0.4
0.2
0
Measured
170
°
160
°
150
°
140
°
130
°
120
°
110
°
100
°
80
°
70
°
60
°
50
°
40
°
30
°
20
°
10
°
The two stages of
phase selection
result in complete
access to all LO
phases. Notably, the
two stages are
designed to provide
high gain in order
to restore the
amplitude of the
LO signal which is
attenuated because
of the loss of the
distribution network
and mismatch
between
components.
IEEE Communications Magazine • August 2004
130
array exhibits a total gain of 61 dB and has a
beamforming peak-to-null ratio of 20 dB. It
draws a constant 287 mA from a 2.5 V supply,
irrespective of beam direction.
A die micrograph of the fully integrated 24
GHz phased array receiver is shown in Fig. 6c.
The complete receiver occupies 3.3
×
3.5 mm
2
of
silicon area. As mentioned before, the phase dis-
tribution network occupies a significant portion
of the chip area. Except for eight receiver inputs
at 24 GHz, differential in-phase and quadrature-
phase baseband outputs (four pads), and phase
locked loop (PLL) reference (one pad), all the
other pads are either ground or biasing/control
voltage pads, demonstrating a fully integrated
phased array receiver in silicon for the first time.
R
EFERENCES
[1] FCC 02-04,Sec. 15.515.15.521
[2] I. E. Telatar,
Capacity of Multi-Antenna Gaussian Chan-
nels,
Bell Labs Tech. Memo.
, June 1995.
[3] G. J. Foschini, Jr. and M. J. Gans,
On Limits of Wireless
Communication in a Fading Environment when Using
Multiple Antennas,
Wireless Pers. Commun.
, vol. 6,
no. 3, Mar 1998, pp. 311
55.
[4] P. W. Wolniansky et al.,
V-BLAST: An Architecture for Real-
izing Very High Data Rates over the Rich-Scattering Wire-
less Channel,
Proc. URSI ISSSE
, 1998, pp. 295
300.
[5] H. Zarei and D.J. Allstot,
A Low-Loss Phase Shifter in
180 nm CMOS for Multiple Antenna Receivers,
Proc.
ISSCC
, Feb. 2004, pp 392
93.
[6] A. Joseph
et al.
,
A 0.18
μ
m BiCMOS Technology Featuring
120/100 GHz (fT/fmax) HBT and ASIC-Compatible CMOS
Using Copper Interconnect,
BCTM Proc.
, 2001, pp. 143
46.
[7] H. Hashemi, X. Guan, and A. Hajimiri,
A Fully Integrat-
ed 24 GHz 8-Path Phased-Array Receiver in Silicon,
Proc. ISSCC
, Feb. 2004, pp. 390
91.
B
IOGRAPHIES
A
LI
H
AJIMIRI
received a B.S. degree in electronics engineer-
ing from Sharif University of Technology, and M.S. and
Ph.D. degrees in electrical engineering from Stanford Uni-
versity. He has been on the Faculty of Electrical Engineer-
ing at California Institute of Technology (Caltech),
Pasadena, since 1998, where he is an associate professor
of electrical engineering and director of the Microelectron-
ics and Noise Laboratories. His research interests are high-
speed and RF integrated circuits. He is a co-author of
The
Design of Low Noise Oscillators
, and holds several U.S. and
European patents. He is an Associate Editor of
IEEE Journal
of Solid-State Circuits
and a member of the Technical Pro-
gram Committee of the International Solid-State Circuits
Conference (ISSCC). He was the Gold Medal winner of the
National Physics Competition and the Bronze Medal winner
of the 21st International Physics Olympiad, Groningen,
Netherlands. He was a co-recipient of the ISSCC 1998 Jack
Kilby Outstanding Paper Award and a three-time winner of
the IBM faculty partnership award as well as a National
Science Foundation CAREER award.
Abbas Komijani received B.S. and M.S. degrees in electron-
ics engineering from Sharif University of Technology. He is
currently working toward a Ph.D. degree at Caltech. His
research interests include high-frequency power amplifiers,
wireless transceivers, phased array architectures, and delta-
sigma data converters. He was a design engineer with
Emad Semiconductors, where he worked on CMOS chipsets
for voiceband applications from 1997 to 1999. He was a
design engineer with Valence Semiconductors, where he
worked on data converters for VoIP applications from 1999
to 2000.
A
RUN
N
ATARAJAN
received a B. Tech degree from the Indian
Institute of Technology, Madras, in electrical engineering
and an M.S. degree from Caltech. He is currently working
toward his Ph.D. at Caltech.. His current research interests
include design of integrated high-frequency circuits, wire-
less transceivers, and modeling of parasitic coupling in
integrated circuits. He received the Analog Devices Out-
standing Student IC Designer Award in 2004.
R
UMI
C
HUNARA
received a B.S. degree in electrical engineer-
ing in 2004 from Caltech. She will commence her Master
s
and Ph.D. studies in September 2004 at the Massachusetts
Institute of Technology in electrical engineering, and health
sciences and technology. Her research interests include
low-power integrated devices for communication as well as
nano- and micro-scale sensing and other biological applica-
tions.
X
IANG
G
UAN
received a B. S. degree in electrical engineering
from Tsinghua University and an M. Eng. degree in electri-
cal engineering from the National University of Singapore.
He is currently working toward a Ph.D. degree at Caltech.
From 1996 to 1997 he was a research assistant at the Inte-
grated Circuits Group, Instituto Superior Tecnico, Lisbon,
Portugal, involved in the development of a data acquisition
chip for electrocardiogram remote monitoring devices. In
summer 2003 he was a co-op researcher at the IBM
Thomas J. Watson Research Center, Yorktown Heights,
New York.
H
OSSEIN
H
ASHEMI
received B.S. and M.S. degrees in electron-
ics engineering from Sharif University of Technology. He
received a second M.S. and a Ph.D. in electrical engineering
from Caltech. He joined the Department of Electrical Engi-
neering
Electrophysics at the University of Southern Cali-
fornia in 2003 as an assistant professor, where the core of
his research constitutes the study of the fundamentals of
high-speed and RF communication circuits and systems,
along with integrated implementations. He has been a
recipient of the Outstanding Accomplishment Award from
the von Brimer foundation in 2000, Outstanding Student
Designer Award from Analog Devices in 2001, and an Intel
fellowship in 2002. He is an Associate Editor of
IEEE Trans-
actions on Circuits and Systems, Part II
.
The signal combining
in the current
domain results in an
increase in the signal
power of 18 dB.
Thus, the eight-
element array
exhibits a total gain
of 61 dB and has a
beam forming peak-
to-null ratio of 20
dB. It draws a con-
stant 287 mA from
a 2.5 V supply,
irrespective of the
beam direction.