TH2G-4
A K-Band Low-Complexity Modular
Scalable Wide-Scan Phased Array
F. Akbar and A. Mortazawi
Department of Electrical Engineering and Computer Science
University of Michigan, Ann Arbor, MI, USA
TH2G-4
Outline
• Introduction and Motivation
• Phased Array’s Operation Principle
• Phased Array’s Circuit Diagrams
• Simulation and Measurement Results
• Conclusion
TH2G-4 3
Introduction
A phased array is an ensemble of antennas capable of beamforming and steering
by adjusting the relative phase and magnitude of the signals received or transmitted
by the antenna elements.
Δ𝜙 = inter-element
phase difference
2𝜋𝑓
𝑐𝑑 sin 𝜃 = Δ𝜙
Antenna
Elements
Phase
Shifters
Spacing (𝑑)
𝜽
Input𝜃 = scan angle
TH2G-4 4
Phased Array Applications
In Radars
Increase cross-range resolution
Reduce required transmit power
Enhance SNR
In Communication Systems
Alleviate multipath fading
Mitigate co-channel interference
Reduce required transmit power
Enhance SNR
TH2G-4 5
Motivation
Reducing the
Complexity
Circuit size
of phased arrays in the interest of their widespread use in commercial
communication and radar systems such as:
5G communications
Automotive radars for ADAS and autonomous vehicles
TH2G-4 6
Conventional Phased Array ArchitecturesRF-Phase-Shifting
IF-Phase-Shifting Digital-Phase-Shifting
LO-Phase-ShiftingPhased arrays typically
employ one phase shifter per
each array element.
In general, phase shifters
along with their control
circuitry contribute significantly
to complexity, size, and cost of
phased arrays.
A modular scalable phased
array with a significantly
reduced number of phase
shifters and control circuitry is
presented.
RF Power Combiner
LNA
Phase
Shifter
LO
IF
IF Power Combiner
LO Power Divider
LNA
Mixer
LO
IF
Phase
Shifter
IF Power Combiner
LO Power Divider
Phase
Shifter
LNA
Mixer
LO
IF
LO Power Divider
Beam Forming
LNA
Mixer
LO
IF
A/D A/D A/D A/D
D/A
TH2G-4 7
𝜃𝑖 = tan−1sin 𝜙
𝑎𝑖𝑏𝑖
+ 𝑐𝑜𝑠 𝜙𝑖 = 1,2, … , 𝑛
The number of phase shifters is reduced by integrating the phase-shifting
function into the sub-array’s feed network through vector summation.
An n-element subarray employing a single phase shifter
𝑒𝑖 = 𝑎𝑖 + 𝑏𝑖 𝑐𝑜𝑠 𝜑 2 + 𝑏𝑖 𝑠𝑖𝑛 𝜑 2
en
en-1
e2
𝝓
𝜽𝒏
e1
A
B
Phased Array’s Operation Principle
bn b1bn-1
en en-1
an an-1 a1
e1ϕ
B
AInput
Feed Network
TH2G-4 8
A Low-Complexity Modular Scalable Phased Array
Multiple subarrays can be connected to form a larger array with a narrower beamwidth.
Independent control of 𝜙1 and 𝜙2 enables a correct phase progression between the
subarrays.
By using phase shifters with tunable amplitude, gain can be maintained over the scan
range.
An n-element subarray module employing two phase shifters𝝓 = 𝝓𝟏 −𝝓𝟐
en
en-1
e2
e1 Phase Shifters with Tunable Amplitude
Structure of a modular scalable phased array formed by connecting multiple n-element subarray modules
bn b1bn-1
en en-1
an an-1 a1
e1
B
AInput
Feed Network
ϕ 2
ϕ 1
bn b1bn-1
en
an an-1 a1
ϕ 1
ϕ 2
en-1 e1Subarray Subarray Subarray
Input
TH2G-4 9
A Wide-Scan Low-Complexity Phased Array Module
Simplified schematic of the proposed eight-element wide-scan phased array module with four phase shifters
The 8-element phased array module employing two 4-element subarrays is
designed for ~±15° of scan range.֞Avg. of ~±45° inter-element phase difference
Utilizing a quadrature signal generator along with quadrant selector switches at
each antenna port ֜ ±90° of scan range
Four-Element Subarray
Feed Network
b4
a4
Input
S in
𝒆𝒋𝜱𝟏𝑹 S in
S in a3
b3
a2
b2
a1
b1
Switched
Quad.
Gen.
e1Re2Re3Re4R
b4
a4a3
b3
a2
b2
a1
b1
e1L e2L e3L e4L
𝜱𝟏𝑹
Switched
Quad.
Gen.
Switched
Quad.
Gen.
Switched
Quad.
Gen.
𝜱𝟐𝑹 𝒆𝒋𝜱𝟐𝑹 S in
Switched
Quad.
Gen.
Switched
Quad.
Gen.
Switched
Quad.
Gen.
Switched
Quad.
Gen.
𝒆𝒋𝜱𝟏𝑳 S in
𝜱𝟏𝑳
S in
S in𝜱𝟐𝑳 𝒆𝒋𝜱𝟐𝑳 S in
TH2G-4 10
Reduced number of
phase shifters and their
associated control
signals by a factor of two
Detailed block diagram of the K-Band wide-scan integrated phased array
K-Band Wide-Scan Integrated Phased Array
Input
Divider
Vector
Modulator
Phase Shifter
Feed
Network
D2S
Amp1Channel 1Quad. Gen. Network
+ Switches
Single-ended to
Differential Signal
Converter
Differential to
Single-ended
Signal Converter
4-Element Subarray
S2D
D2S Channel 2
D2S Channel 3
D2S Channel 4
Subarray Core
D2S Channel 5
S2D
D2S Channel 6
D2S Channel 7
D2S Channel 8
Amp1
Amp1
Amp1
Amp1
Amp1
Amp1
Amp1
Amp2
Amp2
Amp2
Amp2
Amp2
Amp2
Amp2
Amp2
For Wide-Scan
Applications
Feed
Network
Quad. Gen. Network
+ Switches
Quad. Gen. Network
+ Switches
Quad. Gen. Network
+ Switches
Quad. Gen. Network
+ Switches
Quad. Gen. Network
+ Switches
Quad. Gen. Network
+ Switches
Quad. Gen. Network
+ Switches
Applications in automotive
radars and 5G technology
TH2G-4 11
Active feed network with polarity selector switches
Phased Array’s Circuit Diagrams
Design parameters’ optimum
values (normalized to the
value of 𝑏1):
|𝑎1|=|𝑏4|=7
|𝑎2|=|𝑏3|=8
|𝑎3|=|𝑏2|=5
|𝑎4|=|𝑏1|=1
The transistors in the current
distribution network are sized
such that their drain current
ratios are equal to the design
parameters’ optimum values.
VbiasVbias
M1M2
Gm-Cell
RBRB
CCCC
Vbias Vbias
M4 M3
Gm-Cell
RB RB
CC CC
VB
42 µm
0.18 µm
M6 M5
VB
48 µm
0.18 µm
M7M8
VB
30 µm
0.18 µm
M10 M9
VB
M11M12
VB
6 µm
0.18 µm
M14 M13
VB
30 µm
0.18 µm
M15M16
VB
48 µm
0.18 µm
M18 M17
VB
42 µm
0.18 µm
M19M20
Vector
Summation
Unequal Current
Distribution Network
𝑽𝒊𝒏,𝝋𝟏
+
𝑽𝒊𝒏,𝝋𝟏
−
𝑽𝒊𝒏,𝝋𝟐
+
𝒊𝝋𝟏+
𝒊𝝋𝟏−
𝒊𝝋𝟐+
𝒊𝝋𝟐−
𝒊𝟏,𝝋𝟏
+
𝒊𝟏,𝝋𝟏
−
𝒊𝟐,𝝋𝟏
+
𝒊𝟐,𝝋𝟏
−
𝒊𝟑,𝝋𝟏
+
𝒊𝟑,𝝋𝟏
−
𝒊𝟒,𝝋𝟏
+
𝒊𝟒,𝝋𝟏
−
𝒊𝟒,𝝋𝟐
−
𝒊𝟒,𝝋𝟐
+
𝒊𝟑,𝝋𝟐
−
𝒊𝟑,𝝋𝟐
+
𝒊𝟐,𝝋𝟐
−
𝒊𝟐,𝝋𝟐
+
𝒊𝟏,𝝋𝟐
−
𝒊𝟏,𝝋𝟐
+
MS1MS2MS3MS4
LP
CH1 CH1
V1
V1V1MS1MS2MS3MS4
LP
CH2 CH2
V2
V2V2MS1 MS2 MS3 MS4
LP
CH4CH4
V4
V4 V4 MS1 MS2 MS3 MS4
LP
CH3CH3
V3
V3 V3
6 µm
0.18 µm
Polarity Selector Switches
𝒊𝒆𝟏+
𝒊𝒆𝟏−
𝒊𝒆𝟐+ 𝒊𝒆𝟐
− 𝒊𝒆𝟑− 𝒊𝒆𝟑
+ 𝒊𝒆𝟒− 𝒊𝒆𝟒
+
𝑽𝒊𝒏,𝝋𝟐
−
Feed Network
b4
a4 a3
b3
a2
b2
a1
b1
e1e2e3e4
𝜱𝟏
𝜱𝟐
TH2G-4 12
Phased Array’s Circuit Diagrams (Cont’d)
Vector modulator phase shifter Quadrature generation network with I/Q selector switches
VDD
Vbias
SWI SWISWQ
Vbias
VDD
vo vo+
vin+vin
I/Q Selector
Switches
Quadrature
Generation
Network
RC
SWI SWQ
CC
RBRB
M1
CC
M2
M3M4M5M6M7M8M9M10
𝒊𝑸−
𝒊𝑰−
𝒊𝑰
𝒊𝑸
VDD
VB2
VB1
VB2
vin
VDD VBI VDDVBQ VBI VDDVBQVDD
vin
vo vo+
MB
M1M2M3M4
CC RBCCRB
R C
M5M6M7M8M9M10M11M12
LP
+
TH2G-4 13
130-nm CMOS Phased Array
The chip is mounted on a four-layer PCB comprising of a 10 mil Rogers RO3006
substrate on top of a 4 mil prepreg connected to a 16 mil FR4 substrate.
The input and output GSG pads are wirebonded to 50-Ohm grounded coplanar
waveguide (GCPW) lines on the top layer of the PCB.
Die photo of the eight-element CMOS phased array Top view of the phased array chip mounted on a four-layer PCB
TH2G-4 14
Simulated and Measured Array Factor at 24 GHz
Simulation Measurement
Scan range: ±90°
SLL < -10 dB
Array factor variation over the scan
range < 1.1 dB
Scan range: ±90°
SLL < -9.75 dB
Array factor variation over the scan
range < 2 dB
TH2G-4 15
Measured Phased Array’s Power Gain and
Input/Output Power 1-dB Compression Point
Phased array’s power gain at each scan angle varies less than 3 dB over the range
23.2‒24.4 GHz.
1-dB compression point of the phased array’s output power is larger than 4.3 dBm
within 23.2‒24.4 GHz.
TH2G-4 16
Simulated and Measured Reflection Coefficients
Simulation
Measurement
Within 23.2‒24.4 GHz:
Simulated input reflection coefficient < -15.7 dB
Simulated output reflection coefficient < -14.7 dB
Measured input reflection coefficient < -14.3 dB
Measured output reflection coefficient < -11 dB
TH2G-4 17
Comparison with Integrated Phased Arrays
This Work [1] [2] [3] [4]
130-nm CMOS SiGe BiCMOS 130-nm SiGe BiCMOS 180-nm CMOS 65-nm CMOS
23.2-24.4(1) 28.4-29.4(2) 27.2-28.7 (3-dB BW) 15-18 28
8 TX 4 TRX 32 TRX 8 TX 4 TRX
> -5.1(3) (at 24 GHz) 10.5 (at 28-29 GHz) 13.5 (at 28 GHz) 13 (at 17 GHz) 15.7
85 200 319 (at Psat) 528 300(4)
1.683.954 2.54.7 10.515.8 38.5 34
Process
Reference
Frequency (GHz)
Number of Channels
OP1dB/Channel (dBm)
PDC/Channel (mW)
Area (mm2)
(1)3-dB BW of phased array’s power gain. (2)3-dB EIRP BW. (3)Excluding the PCB loss. (4)At Pout/Ch. of 11 dBm.
[1] K. Kibaroglu et al., “A quad-core 28-32 GHz transmit/receive 5G phased-array IC with flip-chip packaging in SiGe BiCMOS,” IEEE MTT-S Int. Microw. Symp. Dig.,
Honololu, HI, USA, June 2017, pp. 1892‒1894.
[2] B. Sadhu et al., “A 28GHz 32-element phased-array transceiver IC with concurrent dual polarized beams and 1.4 degree beam-steering resolution for 5G
communication,” IEEE International Solid-State Circuits Conference (ISSCC), San Francisco, CA, 2017, pp. 128‒129.
[3] D. Chen et al., “A Ku-Band 8-element phased-array transmitter with built-in-self-test capability,” IEEE/MTT-S International Microwave Symposium - IMS,
Philadelphia, PA, 2018, pp. 610‒612.
[4] J. Pang et al., “A 28-GHz CMOS phased-array transceiver based on LO phase-shifting architecture with gain invariant phase tuning for 5G new radio,” IEEE J.
Solid-State Circuits, vol. 54, no. 5, pp. 1228‒1242, May 2019.
The phased array in this work has the smallest chip area mainly due to its smaller
number of phase shifters (by a factor of 2) as compared to the conventional designs.
TH2G-4 18
Conclusion
A new architecture for modular scalable phased arrays with a reduced number of
phase shifters and control signals has been presented.
An 8-element wide-scan phased array has been designed based on the
described approach and fabricated using 130-nm CMOS process.
In the presented wide-scan phased array operating at K-band, the number of
phase shifters and their associated control signals are reduced by a factor of two
as compared to conventional phased arrays using one phase shifter per each
radiating element.
The presented phased array is a promising candidate for applications in 5G
technology and automotive radars for advanced driver assistant systems (ADAS)
and autonomous vehicles.