60-GHz CMOS Integrated On-Chip Yagi Antenna and Balun Bandpass Filter
In 90-nm CMOS Technology
Han-Lin Yue, Yung-Hsiang Chuang, Huey-Ru Chuang
Institute of Computer and Communication Engineering
Department of Electrical Engineering
Outline
Introduction and Motivation
Design of 60-GHz Integrated On-Chip Yagi Antenna and Balun Bandpass Filter (TSMC 90-nm CMOS Process)
60-GHz on-chip Yagi antenna design
60-GHz on-chip balun bandpass filter design
Integration of Yagi antenna and balun bandpass filter
Microwave Probe-Station On-Wafer Measurement
Simulation and Measurement Results
Conclusion
Introduction & Motivation
In 2001, the FCC has allocated 57-64 GHz for unlicensed applications
Wireless personal area network (WPAN)
60 GHz Standards
IEEE 802.15.3c, ECMA/387, Wireless HD, WiGig MAC and PHY, IEEE 802.11.ad
The attenuation of the electromagnetic wave is about 10-15 dB/km near the 60-GHz band
Due to the oxygen effect
The attenuation is too high for long-range communication
57-64 GHz band is suitable for short-range wireless communication
Wide bandwidth, high data-rate transmission (2 Gb/s), privacy
Spectral
availability Channel BW Effective Tx power
Max. possible data rate
Bit/Hz Req’d to get to 1 Gbps 60 GHz 7000 MHz 2000 MHz 8000 mW
(39 dBm) 25000 Mbps 0.4 bps/Hz 802.11n 670 MHz 40 MHz 160 mW
(22 dBm) 1100 Mbps 25 bps/Hz
Introduction & Motivation
Pursue the integration of on-chip antenna and passive components in mm-wave RF front-end
Multifunction millimeter-wave components
combine different functions into one device
loss / size reduction
simplify the complexity of RF front-end circuits
Integration of on-chip antenna, balun, and bandpass filter
60-GHz Integrated On-Chip Yagi Antenna and Balun Bandpass Filter
(TSMC 90-nm CMOS Process)
TSMC 90-nm CMOS Process
The on-chip antenna is fabricate with TSMC 90-nm CMOS process
nine-metal-layer structure
To achieve a better performance of radiation
The on-chip antenna is printed on the top layer
The final goal is to integrate each of system-related
passive and active components into a single chip
60-GHz On-Chip Yagi Antenna Design
60-GHz On-chip Yagi Antenna Design (1)
Yagi-Uda antenna [9]
In 1928, Yagi-Uda antenna is invented by professor Hidetsugu Yagi and lecturer Shintaro Uda
Fundamental Yagi antenna includes three components
driver, director and reflector
Driver: a half-wavelength dipole
Director & reflector: let antenna pattern have end-fire radiation characteristic
[9] S. R. Saunders, Antennas and propagation for wireless communication systems, John Wiley and Sons Ltd, 1999.
60-GHz On-chip Yagi Antenna Design (2)
Designed Yagi antenna (simu.):
Driver = 0.36 λ eff , director = 0.29 λ eff , reflector = 0.4 λ eff
Reflector: utilizing the ground plane (M1) of balun-filter
VSWR of the Yagi antenna < 2 @ 51 - 88 GHz
Power-gain @ 60 GHz, +Z direction = -7.8 dBi
Radiation efficiency @ 60 GHz = 8.4 %
1 2 3 4 5
V S W R
Yagi Antenna (simu.)
-25 -20 -15 -10 -5
C o -p o l. p o w er g ai n @ + Z d ir ect io n ( d B i)
0 5 10 15
R a d ia tio n e ff ic ie n c y ( % )
Antenna Power Gain Radiation Efficiency
60-GHz On-chip Yagi Antenna Design (3)
Antenna power-gain pattern @ 60 GHz
0
45
90
135
180 225
270
315 -5
-5 -10
-10 -15
-15 -20
-20 -25
X
Y
0
45
90
135
180 225
270
315 -5
-5 -10
-10 -15
-15 -20
-20 -25
Z
Y
0
45
90
135
180 225
270
315 -5
-5 -10
-10 -15
-15 -20
-20 -25
Z
X
Power-Gain (dBi) = [ Directive-Gain (dBi) ] × [ Radiation-Efficiency (%) ]
XY-plane YZ-plane XZ-plane
f
(GHz) Max. Min. Avg. Max. Min. Avg. Max. Min. Avg.
57 -8.6 -17.1 -13.1 -8.4 -26.8 -16.2 -7.6 -19.0 -11.8 60 -7.9 -15.8 -12.1 -7.8 -31.2 -16.4 -6.8 -19.1 -11.3
E co-pol. (dBi)
64 -7.4 -14.5 -11.3 -7.4 -47.0 -17.2 -6.1 -19.7 -11.1 57 -18.3 -53.3 -24.1 -15.3 -45.9 -21.2 -42.9 -61.0 -49.5 60 -17.8 -53.1 -23.3 -14.0 -44.5 -19.9 -41.8 -59.8 -48.0
E cross-pol. (dBi)
64 -17.0 -59.3 -22.1 -12.6 -42.2 -18.8 -40.3 -64.9 -46.4
XY-plane YZ-plane XZ-plane
60-GHz Balun Bandpass Filter Design
60-GHz On-chip Balun Bandpass Filter Design (1) [2]
0° feed structure[3]:
Upper path:
2 1 2
2 0 1 2
1 2
2 2 0
1 0
2 2 2 1
1 0
2 1
2 2 0
1
sin cos )
cos(
sin sin )
sin(
cos ) cos
sin(
cos sin
) cos(
C Y C
j Y jY
j C C jZ
Y D
C B A
u u
u u
Lower path:
2 1
2 2 0
1 2
1 2 02 2
1 0
2 2 2 1
1 0
2 1 2
2 0 1
cos sin )
cos(
sin sin )
sin(
cos ) cos
sin(
sin cos )
cos(
C Y C
j Y jY
j C C jZ
Y D
C B A
l l
l l
Transmission matrix of 0° feed structure:
u l
u l l u u
l u l
u l u
l l u u l l u
u l
u l u
l
u l l u
B B
B D B D B
B B B
B B B
D B D B A B A
B B
B B B
B
B A B A D
C A B
) (
) (
) )(
(
260-GHz On-chip Balun Bandpass Filter Design (2)
0° feed structure @ θ 1 + θ 2 ≈ π (half-wavelength)
1 0
2 1 cos
2 2 1
j C D
C A B
Z L
C S j
2 2 1
21 2 cos / 2
1
Z L
C S j
2 2 1
21 2 cos / 2
1
180° phase difference
60-GHz On-chip Balun Bandpass Filter Design (3)
θ
1θ
1+ θ
2θ
3θ
3θ
3θ
3θ
1θ
1θ
2J-inverter J-inverter
Z
0Z
0Z
0Z
0Z
0Z
0o, Z
0eUnbalanced Port
Balanced Port Port 1
Port 2
Port 3
0 10 20 30 40 50 60 70 80 90 100 110 Frequency (GHz)
-30 -25 -20 -15 -10 -5 0
Magnitude (dB)
S(1,1) S(2,1) S(3,1)
Simulated Characteristics of 60-GHz CMOS Balun Bandpass Filter
f
c60 GHz
Return loss (S
11) > 10 dB
Insertion loss (S
21) 3.2 dB @ 60 GHz (excluding 3-dB power split) Insertion loss (S
31) 2.9 dB @ 60 GHz
(excluding 3-dB power split) Amplitude imbalance ± 1.3 dB (57-64 GHz)
Phase imbalance ± 5° (57-64 GHz)
3-dB FBW 30 %
Z Y X
Balanced Port
M9 M1 Via
Port 1 Port 2 Port 3
Unbalanced Port
G-S-G PAD
Integration of On-Chip Yagi Antenna
With Balun Bandpass Filter
60-GHz On-chip Yagi-Balun-Filter
TSMC 90-nm CMOS Process:
Diver, Director, and Balun-filter @ M9
Reflector @ M1
Multiple Top Metal
Lossy Substrate Poly
M 1 M 2 M 3 M 4 M 5 M 6 M 7 M 8 M 9
Dielectric Layers
Symbol Value (μm) Symbol Value (μm) Symbol Value (μm) Symbol Value (μm) L
chip1156 W
chip440 G
couple2 W
couple4
L
Dir800 L
Dri490 W
175 W
260
G
ant15 W
ant12 L
1140 W
PAD50
Simulation Results: 60-GHz On-chip Yagi-Balun-Filter (1)
Balanced current distribution on Yagi driven element
Simulation Results: 60-GHz On-chip Yagi-Balun-Filter (2)
Comparison of the VSWR between antenna with/without balun bandpass filter
40 45 50 55 60 65 70 75 80
Frequency (GHz)
1 2 3 4 5
V S W R
Yagi Antenna (simu.) Yaig+Balun-filter
0 0.2 0.5 1 2 5 10
180
170 160
150 140
130 120 110 100 90 80 70 60
50 40
30 20
10
0-10
0 -2 0 -3 0 -4 0 -5 -7 -60 -8 0 -90 0 00 -1 10 -1 20 -1 30 -1 40 -1 5 -1 0 6 -1 0
-170
64 GHz
60 GHz 57 GHz
Yagi antenna: VSWR < 2 @ 51 – 88 GHz Yagi-balun-filter: VSWR < 2 @ 57 – 64 GHz
The antenna bandwidth becomes narrower after integrating with the balun bandpass filter
Simulation Results: Radiation Power-Gain Pattern (3)
0
45
90
135
180 225
270
315 -10
-10 -15
-15 -20
-20 -25
X
Y
0
45
90
135
180 225
270
315 -10
-10 -15
-15 -20
-20 -25
Z
Y
0
45
90
135
180 225
270
315 -10
-10 -15
-15 -20
-20 -25
Z
X
Considering the insertion loss of the balun-filter
Power-Gain (dBi) = [ Directive-Gain (dBi) ] × [ Radiation-Efficiency (%) ]
XY-plane YZ-plane XZ-plane
f
(GHz) Max. Min. Avg. Max. Min. Avg. Max. Min. Avg.
57 -12.9 -21.3 -17.2 -12.8 -32.5 -20.4 -11.9 -23.3 -16.1 60 -11.2 -18.9 -15.3 -11.1 -34.5 -19.5 -10.0 -22.7 -14.6
E co-pol.
(dBi)
64 -10.0 -17.2 -13.9 -9.9 -43.2 -19.4 -8.6 -23.3 -13.8 57 -21.5 -50.9 -28.3 -19.3 -49.3 -24.9 -39.0 -52.4 -44.5 60 -20.1 -54.2 -26.3 -17.2 -50.5 -22.9 -40.1 -52.0 -45.7
E cross-pol.
XY-plane YZ-plane XZ-plane
Chip Micrograph
60-GHz CMOS Integrated On-Chip Yagi Antenna And Balun Bandpass Filter
(TSMC 90-nm CMOS Process)
Chip Layout Chip Micrograph
Chip size = 1.16 × 0.44 mm 2
Probe-Station On-Wafer Measurement
VSWR, Antenna Power-Gain and Radiation Pattern
On-wafer Measurement: VSWR / Return Loss (S 11 )
On-wafer measurement setup:
Agilent 67-GHz PNA series network analyzer
Cascade Probe station
Cascade G-S-G probes with a pitch of 100 μm
Measure VSWR/S 11 of the on-chip Yagi-balun-filter
E8361A PNA
Microwave
Probe
On-wafer Measurement: Antenna Power-Gain (1)
The power-gain was measured with the technique presented in [4] and [5]
Two identical on-chip antennas: a transmitting antenna & a receiving antenna
[4] H.-R. Chuang, L.-K. Yeh, P.-C. Kuo, K.-H. Tsai, H.-L. Yue, “60-GHz millimeter-wave CMOS integrated on-chip antenna and bandpass filter" IEEE Trans. on Electron Devices, vol. 58, no. 7, pp. 1837–1845, July 2011.
Friis Power Transmission Formula:
PL(dB)
dB G
dB G
dBm P
dBm
P r t t r
( ) ( ) ( )
) (
G t & G r : power-gain of transmitting &
receiving antenna
P t & P r : transmitted & received power
PL: free-space path loss
On-wafer Measurement: Antenna Power-Gain (2)
Free-space consideration:
) ( )
( )
( )
( )
( dBm P dBm G dB G dB PL dB
P r t t r
G t & G r : power-gain of the transmitting/receiving antenna P t & P r : transmitted and received power
PL: (free-space) path loss, PL ( dB ) 10 log 4 R 2 20 log( R km f GHz ) 92 . 4
Assume the two antennas are identical G t = G r = G
Separated distance R should be satisfied with the far-field condition [11]
2D 2
R far
(P r / P t ) (dB) = direct transmission coefficient, |S 21 | 2 (dB) from the vector network analyzer
S 21 ( dB ) ( P r P t )( dB ) 2 G ( dB ) PL ( dB )
[11] Y. Huang and K. Boyle, Antennas From Theory to Practice, John Wiley and Sons Ltd, 2008.
On-wafer Measurement: Antenna Power-Gain (3)
Metallic ground-plane consideration:
Path loss with perfect planar ground plane modified PL formula [4][5]
2 4
2 2
2
2
2 1
2
2 0 2
2 0 1
0
4 4 1
log 10
log 4 10 )
(
R h R jk r jk r
jk PEC
h e R
R R
r e r
dB e PL
1 ,
2
2
2
2 4
2* r R r R h h R h
( ) [ 21 ( ) ( )]
2
1 S dB PL dB
dB
G PEC
On-wafer Measurement: Antenna (Power-Gain) Pattern (1)
On-wafer Measurement: Antenna (Power-Gain) Pattern (2)
According to the Friis power transmission formula [5]
P r ( dBm ) P t ( dBm ) CL L p G t ( dB ) PL G r ( dB )
P t : the output power of the PSG P r : the receiving power, which is measured by the PSA CL: cable loss @ 60 GHz L p : microwave probe loss @ 60 GHz
G t : power-gain of the transmitting antenna (Yagi-balun-filter) G r : power-gain of the receiving antenna (horn antenna)
PL: the path loss @ 60 GHz (in free space)
The distance R between the on-chip antenna and the horn antenna should be satisfied with the far-field condition [11]
2D 2
R
R far ( D )
By measuring the receiving power (P r ), the power-gain of the Yagi-balun-filter (G t ) for
each angle can be obtained.
Simulation and Measurement Results
Input VSWR / Return Loss (S 11 )
The measured VSWR < 2 @ 57 – 64 GHz
20 30 40 50 60 70 80
Frequency (GHz)
12 3 4 5
V S W R
Simulation Measurment
57 58 59 60 61 62 63 64
Frequency (GHz)
12 3 4 5
V S W R
Simulation Measurment
Antenna Power-Gain
Simulated and measured antenna power-gains are basically in reasonable compliance
Measured power-gain @ +Z direction: -12.4 dBi @ 60 GHz ( > -14 dBi within 57-64 GHz ) (Considering the insertion loss of the balun bandpass filter)
57 58 59 60 61 62 63 64
Frequency (GHz)
-35 -30 -25 -20 -15 -10 -5
A n te n n a p o w e r g a in @ + Z d ir e c ti o n ( d B i)
Simulation Measurement
Y X Z
Metallic plate (perfect ground plane)
On-chip
antenna On-chip antenna
R = 20 mm
Acrylic Sheet Y Z
X
R = 20 mm
Antenna (Power-Gain) Pattern
Pattern measurement is in progress
11970 V 50 - 75 GHz Harmonic Mixer
Microwave Probe Station
E8257D 250 kHz – 67 GHz PSG Analog Signal
Generator
LO output
IF input
E4440A 3 Hz - 26.5 GHz PSA Series Spectrum
Analyzer
Microwave Probe Y
Z
Performance Comparison
Type Tech. Freq.
(GHz) VSWR Max. Power Gain (dBi)
Antenna Radiation Efficiency (%)
Chip Size (mm
2)
[6]
IEEE JSCC 2010
AMC-Antenna CMOS
90-nm 60 < 2 -2.1 19.6
(simu.)
1.43 (antenna) [7]
IEEE RFIT
2010 AMC-Antenna CMOS
0.18-μm 60 < 2 -2.2 14.4
(simu.) 2.4 [8]
NRSI 2011
AMC -Antenna (Patch)
CMOS
0.13-μm 60 < 2 -7.3 N/A 3.5
[4]
IEEE ED 2011
Antenna (Yagi)
+ CPW Filter
CMOS
0.18-μm 60 < 2 Antenna+Filter: -14.0
10
(simu.) 1.47 Antenna -7.8
This work (meas.)
Antenna (Yagi)
+
Balun-Filter
CMOS
90-nm 60 < 2
Antenna
+Balun-Filter -12.4
8.4
(simu.) 0.51
[4] H.-R. Chuang, L.-K. Yeh, P.-C. Kuo, K.-H. Tsai, and H.-L. Yue, “60-GHz millimeter-wave CMOS integrated on-chip antenna and bandpass filter" IEEE Trans. on Electron Devices, vol. 58, no. 7, pp. 1837–1845, July 2011.
[6] K. Kang, F. Lin, D.-D. Pham, J. Brinkhoff, C.-H. Heng, Y. X. Guo, and X. Yuang, “A 60-GHz OOK receiver with an on-chip antenna in 90 nm CMOS,” IEEE J. Solid-State Circuits, vol. 45, no. 9, pp. 1720–1731, Sep. 2010.
[7] H. Chu, Y. X. Guo, F. Lin, X. Q. Shi, “Wideband 60GHz on-chip antenna with an artificial magnetic conductor”, in 2009 IEEE International Symp. On Radio-Freq. Integration Tech. (RFIT 2009), Singapore, 2009, pp. 307–310.
[8] Y. Peng, M. A. Abdallah, and Z. Hu, “A 60 GHz on-Chip Antenna with Meta-material Structure,” in 28
thNational Radio Sccience Conf.
(NRSC 2011), Egypt, 2011, pp. 1–6 .
Conclusion
A successful integration of a 60-GHz mm-wave on-chip Yagi antenna and balun bandpass filter in 90-nm CMOS process
Fabricated with TSMC 90-nm CMOS technology
HFSS FEM-based 3-D full-wave EM solver is used for simulation
On-wafer measurement based on microwave probe-station
Consider the effect of the metallic plane
Modified path loss formula
Measured performance of the designed antenna-balun-filter
Meas. VSWR < 2 @ 57-64 GHz
Maximum radiation power-gain is about -12.4 dBi @ 60 GHz
Antenna pattern measurement is in progress
Reference
[1] Y. P. Zhang, M. Sum, and L. H. Guo, “On-chip antennas for 60-GHz radios in silicon technology,”
IEEE Trans. Electron Devices, vol. 52, no. 7, pp. 1664–1668, Jul. 2005.
[2] C.-Y. Hsu, C.-Y. Chen, and H.-R. Chuang, “A 77-GHz CMOS on-chip bandpass filter with balanced and unbalanced outputs,” IEEE Electron Device Lett., vol. 31, no.11, pp. 1205–1207, Nov. 2010.
[3] C. M. Tsai, S. Y. Lee, and C. C. Tsai, “Performance of a planar filter using a zero-degree feed structure,” IEEE Trans. Microw. Theory Tech., vol. 50, no. 10, pp. 2362–2367, Oct. 2002.
[4] H.-R. Chuang, L.-K. Yeh, P.-C. Kuo, K.-H. Tsai, H.-L. Yue, “60-GHz millimeter-wave CMOS integrated on-chip antenna and bandpass filter" IEEE Trans. on Electron Devices, vol. 58, no. 7, pp.
1837–1845, July 2011.
[5] R. N. Simionsand R. Q. Lee, “On-wafer characterization of millimeter wave antennas for wireless application,” IEEE Trans. Microw. Theory Tech., vol. 47, no. 1, pp. 92–96, Jan. 1999.
[6] K. Kang, F. Lin, D.-D. Pham, J. Brinkhoff, C.-H. Heng, Y. X. Guo, and X. Yuang, “A 60-GHz OOK receiver with an on-chip antenna in 90 nm CMOS,” IEEE J. Solid-State Circuits, vol. 45, no. 9, pp.
1720–1731, Sep. 2010.
[7] H. Chu, Y. X. Guo, F. Lin, X. Q. Shi, “Wideband 60 GHz on-chip antenna with an artificial magnetic conductor”, in 2009 IEEE International Symp. On Radio-Freq. Integration Tech. (RFIT 2009), Singapore, 2009, pp. 307–310.
[8] Y. Peng, M. A. Abdallah, and Z. Hu, “A 60 GHz on-Chip Antenna with Meta-material Structure,” in 28
thNational Radio Sccience Conf. (NRSC 2011), Egypt, 2011, pp. 1–6.
[9] C. A. Balanis, Antenna Theory and Design, 3rd ed. New York: Wiley, 2005.
[10] S. R. Saunders, Antennas and propagation for wireless communication systems, New York: Wiley, 1999, ch5, pp. 94–97.
[11] Y. Huang and K. Boyle, Antennas From Theory to Practice, John Wiley and Sons Ltd, 2008.
Thank you for your attention!
Backup Slides
Yagi Antenna with Capacitance Coupling (10
VSWR: 2.04 to 1.1 @ 60 GHz
0 0.2 0.5 1 2 5 10
180
170 160
150 140
130
120 110 100 90 80 70 60
50 40
30 20
10
0-10
0-2
0 -3
-40 0 -5 -60 -8 -70
-1 00 -12 10 -1 0 30 40 -1 5 -1 0
-16
0
-170
Antenna without coupled Antenna with coupled - 1 Antenna with coupled - 2 Antenna with coupled - 3
40 45 50 55 60 65 70 75 80 85 90
1 1.5 2 2.5 3
V S W R
Antenna without coupled
Antenna with coupled - 1
Antenna with coupled - 2
Antenna with coupled - 3
Yagi Antenna with Capacitance Coupling (2)
Antenna radiation power-gain: -12 dBi to -8 dBi @ 60 GHz
Directivity: 3.5 dBi to 3 dBi @ 60 GHz
Radiation efficiency: 3 % to 8.4 % @ 60 GHz
Z X Y
57 58 59 60 61 62 63 64
Frequency (GHz) -20
-15 -10 -5 0
Co-polar power gain at +Z direction(dBi)
Antenna without coupled Antenna with coupled - 1 Antenna with coupled - 2 Antenna with coupled - 3
57 58 59 60 61 62 63 64
Frequency (GHz) 0
1 2 3 4 5
Co-polar directivity at +Z direction(dBi)
Antenna without coupled Antenna with coupled - 1 Antenna with coupled - 2 Antenna with coupled - 3
57 58 59 60 61 62 63 64
Frequency (GHz) 0
2 4 6 8 10 12 14
Radiation efficiency (%)
Antenna without coupled Antenna with coupled - 1 Antenna with coupled - 2 Antenna with coupled - 3
0 ° feed structure
1. ABCD matrix of upper path:
2
2 2 2 1
1 0
2 1
2 2 0
1
1 1
0
1 0
1 2 2
2 0
2 0
2
cos - cos
) sin(
cos sin
) cos(
cos sin
sin cos
1 0
1 1 cos
sin
sin cos
Y Y
j C C jZ
Y
jY C jZ
jY j
jZ D
C
B A
u u
u
u
2. ABCD matrix Y matrix:
u u u
u
u u u
u u
u
u u
u u
B A B
B
D A C
B B
D
Y Y
Y Y
22 1
21
12 11
and
l l l
l
l l l
l l
l
l l
l l
B A B
B
D A C
B B
D
Y Y
Y Y
22 1
21
12 11
3. Y total = Y u + Y l
l u
u l l
u l
u l u
l u
l l l
l u u
u u
u l l
u
u l l
u l
u total
B B
B A B
A B
B
B B
B B
D A C
B B D
A C
B B B
B
B D B
D Y
Y
Y ( )
) (
) (
4. Y total ABCD total
u l
u l l
u u
l u l
u l
u l l
u u
l l
u
u l
u l u
l
u l l
u
B B
B D B
D B
B B B
B B
B D B
D B
A B
A
B B
B B B
B
B A B
A
D C
B A
) (
) (
) )(
( 2
Simulation Results: 60-GHz On-chip Yagi-Balun-Filter
Two-port transmission coefficient S 21 of the integrated antenna-balun-filter
R = 1 0 m m
20 30 40 50 60 70 80 90
Frequency (GHz)
-100 -90 -80 -70 -60 -50 -40 -30
S 2 1 ( d B )
Simu. S21 (Yagi-balun-filter)
Simu. S21 (Yagi)
77-GHz CMOS Integrated AMC-Yagi with Balun-Bandpass Filter
Radiation efficiency: 6 % 18% @ 77 GHz
Antenna power gain: -10.7 dBi -2.8 dBi @ 77 GHz
50 55 60 65 70 75 80 85 90 95 100
Frequency (GHz)
0 5 10 15 20
R a d ia ti o n e ff ic ie n c y ( % )
Yagi antenna + AMC Yagi antenna
50 55 60 65 70 75 80 85 90 95 100
Frequency (GHz)
-20 -15 -10 -5 0
C o -p o l. p o w e r g a in @ + z d ir e c ti o n ( d B i)
Yagi antenna + AMC Yagi antenna