Miniature Helical PCB Antenna For 868 MHz Or 915/920 Antena Guide

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Design Note DN038
Miniature Helical PCB Antenna for 868 MHz or 915/920 MHz
By Richard Wallace

Keywords
 Miniature Helical PCB Antenna
 Optimized for compact designs
 868 or 915/920 MHz ISM Bands

1

 CC11xx
 CC12xx

Introduction

This document describes a compact PCB
helical antenna that has been specifically
designed for 868 MHz or 915/920 MHz
ISM bands.
The PCB helical antenna requires two
matching components for matching to a
50-ohm load.
When a large PCB area (38 mm x 24 mm)
is available for the antenna then the
recommended antenna is DN024 [1] since
the impedance is closer to 50 ohm without
any external matching components (868
MHz: 30+j11; VSWR 1.8) and the
bandwidth is around 90 MHz.

The miniature PCB helical antenna is more
compact (19 mm x 11 mm) with
approximately quarter of the size of the
DN024 [1] but requires matching
components since the impedance is far
from 50 ohms (868 MHz: 10-j88; VSWR
22).
When the miniature helical antenna is
matched then the bandwidth is around 40
MHz and has similar efficiency as DN024
[1] antenna when measured on the
TRXEB platform.
All measurement results presented in this
document are based on measurements
performed on the CC110L EM Rev 1.0
Reference Design [3], shown in Figure 1.

Figure 1. CC110L EM 868 / 915 MHz

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Design Note DN038
Table of Contents
KEYWORDS.............................................................................................................................. 1
1
INTRODUCTION ............................................................................................................. 1
2
ABBREVIATIONS ........................................................................................................... 2
3
ANTENNA DESIGN ........................................................................................................ 3
3.1
PHYSICAL DIMENSIONS .............................................................................................. 3
3.2
ANTENNA MATCH NETWORK ...................................................................................... 4
3.3
ANTENNA BANDWIDTH MEASUREMENT........................................................................ 7
3.4
ANTENNA OTA MEASUREMENT .................................................................................. 7
3.4.1
868 MHz OTA Measurement Summary ............................................................................ 7
4
CONCLUSION ................................................................................................................ 9
5
REFERENCES .............................................................................................................. 10
6
GENERAL INFORMATION ........................................................................................... 10
6.1
DOCUMENT HISTORY ............................................................................................... 10
7
APPENDICES ............................................................................................................... 11
7.1
CTIA OTA REPORT – 868 MHZ (ANTENNA MATCHED AT 868 MHZ)........................... 11
7.1.1
OTA Evaluation Results .................................................................................................. 11
7.1.2
RP_868.000_tot .............................................................................................................. 12
7.1.3
RP_868.000_hor ............................................................................................................. 13
7.1.4
RP_868.000_ver ............................................................................................................. 14
7.1.5
Theta = 0, Phi = 0 .......................................................................................................... 15
7.1.6
Theta = 180, Phi = 0 ...................................................................................................... 15
7.1.7
Theta = 90, Phi = 0 ........................................................................................................ 16
7.1.8
Theta = 90, Phi = 180 .................................................................................................... 16
7.1.9
Theta = 90, Phi = 270 .................................................................................................... 17
7.1.10 Theta = 90, Phi = 90 ...................................................................................................... 17
7.2
CTIA OTA REPORT – 915 MHZ (ANTENNA MATCHED AT 868 MHZ)........................... 18
7.2.1
OTA Evaluation Results: ................................................................................................ 18
7.2.2
RP_915.000_tot .............................................................................................................. 19
7.2.3
RP_915.000_hor ............................................................................................................. 20
7.2.4
RP_915.000_ver ............................................................................................................. 21
7.2.5
Theta = 0, Phi = 0 .......................................................................................................... 22
7.2.6
Theta = 180, Phi = 0 ...................................................................................................... 22
7.2.7
Theta = 90, Phi = 0 ........................................................................................................ 23
7.2.8
Theta = 90, Phi = 180 .................................................................................................... 23
7.2.9
Theta = 90, Phi = 270 .................................................................................................... 24
7.2.10 Theta = 90, Phi = 90 ...................................................................................................... 24

2

Abbreviations

ANT
CTIA
DC
EM
ETSI
FCC
FR4
ISM
NM
OTA
PCB
SRD
TRP
TRXEB

Antenna
Cellular Telephone Industry Association
Direct Current
Evaluation Module
European Telecommunications Standards Institute
Federal Communications Commission
Material type used for producing PCB
Industrial, Scientific, Medical
Not Mounted
Over The Air
Printed Circuit Board
Short Range Devices
Total Radiated Power
Evaluation Board

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Design Note DN038
3
3.1

Antenna Design
Physical Dimensions

Figure 2. Top Layer Layout

Figure 3. Zoom of Top and Bottom Layer Layout with Via Markings

Dimension

H
12 mm

H1
6 mm

H2
0.5 mm

W
19 mm

W1
1 mm

W2
1 mm

Via dia
0.38 mm

Table 1. Antenna Dimensions
Top layer is shown in blue and the bottom layer is shown in red for Figure 2 and Figure 3. The
“X” markers indicate via positions which route between the top and bottom layers.
PCB board thickness for the CC110L EM 868 / 915 MHz reference design [3] is 0.8 mm.
Another PCB thickness can be used but then the antenna match must be re-calculated.

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Design Note DN038
Dimensions for the antenna can be found in Table 1 and the gerbers for the antenna design
are also available for 868/915 MHz [3]
3.2

Antenna Match Network

There are several ways to tune an antenna to achieve better performance. For resonant
antennas the main factor is the length. Ideally the frequency which gives least reflection
should be in the middle of the frequency band of interest. Thus if the resonance frequency is
too low, the antenna should be made shorter. If the resonance frequency is too high, the
antenna length should be increased.
Even if the antenna resonates at the correct frequency it might not be well matched to the
correct impedance. Size of ground plane, distance from antenna to ground plane, dimensions
of antenna elements, feed point and plastic casing are factors that can affect the impedance.
Since the impedance will change depending on several parameters; with a pi-network as
illustrated in Figure 4, the antenna match can always be restored to a 50 ohm match. Only two
of the components (ANT2 + (ANT1 or ANT3) ) are required to match the impedance to 50
ohm depending on the start impedance. For the PCB helical antenna at 868 / 915 MHz, only
ANT2 and ANT3 are required.

Figure 4. Antenna Match Network

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Design Note DN038

Figure 5. Start Impedance with 0-ohm (ANT2) Resistor in Antenna Match
The impedance of the PCB helical antenna is far from 50 ohm without the antenna matching
network so the matching network acts as a load and matching network for the antenna. The
impedance of the antenna can be seen in Figure 5 when ANT2 is set to 0 ohm.
Figure 6 shows the theoretical load and match to at 868 MHz. The Smith diagram shows a
shunt component of 11.4 nH (ANT3) and a series capacitor of 1.0 pF (ANT2). ANT1
component is not required and can be left open. 11.4 nH value does not exist so a 12 nH is
used instead.

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Design Note DN038

Figure 6. Theoretical Antenna Match

Assembling ANT2 (1.0 pF) and ANT3 (12 nH) based on the theoretical calculated match, then
the impedance can be re-measured and a good match is measured and can be seen in Figure
7.

Figure 7. With Antenna Match Components - ANT2: 1.0 pF and ANT3: 12 nH

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Design Note DN038
3.3

Antenna Bandwidth Measurement

Figure 8. Bandwidth Measurement at VSWR 2
As can be seen from Figure 8, the bandwidth is 40 MHz with a VSWR 2 and 68 MHz with a
VSWR 3.

3.4

Antenna OTA Measurement

The conducted output power from the radio is 0 dBm and the results shown in section 3.4.1
show the performance of the antenna of the CC110L EM 868 / 915 MHz on the TRXEB
platform.
3.4.1

868 MHz OTA Measurement Summary

Total Radiated Power
Peak EIRP
Directivity
Efficiency
Efficiency
Gain
NHPRP 45°
NHPRP 45° / TRP
NHPRP 45° / TRP
NHPRP 30°
NHPRP 30° / TRP
NHPRP 30° / TRP
NHPRP 22.5°
NHPRP 22.5° / TRP
NHPRP 22.5° / TRP
UHRP
UHRP / TRP
UHRP / TRP

-1.83 dBm
2.33 dBm
4.16 dBi
-1.83 dB
65.55 %
2.33 dBi
-4.06 dBm
-2.23 dB
59.86 %
-5.89 dBm
-4.05 dB
39.32 %
-7.26 dBm
-5.42 dB
28.69 %
-4.91 dBm
-3.07 dB
49.28 %

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Design Note DN038
LHRP
LHRP / TRP
LHRP / TRP
Front/Back Ratio
PhiBW
PhiBW Up
PhiBW Down
ThetaBW
ThetaBW Up
ThetaBW Down
Boresight Phi
Boresight Theta
Maximum Power
Minimum Power
Average Power
Max/Min Ratio
Max/Avg Ratio
Min/Avg Ratio
Best Single Value
Best Position

-4.78 dBm
-2.95 dB
50.72 %
2.52
332.2 deg
238.7 deg
93.4 deg
82.9 deg
46.3 deg
36.6 deg
90 deg
15 deg
2.33 dBm
-12.00 dBm
-0.91 dBm
14.33 dB
3.24 dB
-11.10 dB
1.11 dBm
Phi = 45 deg; Theta = 165 deg; Pol = Ver

For the full CTIA report including 3D radiated plots at 868 MHz please refer to section 7.1.
The antenna was also measured at 915 MHz to show the performance degradation whilst
keeping the same matching network at 868 MHz; this is shown in section 7.2. For optimum
performance at 915 MHz, the antenna needs to be re-matched at this frequency.
For the Over-The-Air (OTA) Measurements performed in the chamber, please refer to Figure
9 for coordinate correlation to the CTIA reports.

Figure 9. Coordinates Correlation to CTIA OTA Reports

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Design Note DN038
4

Conclusion

When a large PCB area (38 mm x 24 mm) is available for the antenna then the recommended
antenna is DN024 [1] since the impedance is closer to 50 ohm without any external matching
components (868 MHz: 30+j11; VSWR 1.8) and the bandwidth is around 90 MHz.
When there is a need for a more compact antenna then the miniature PCB helical antenna is
ideal (19 mm x 11 mm) with approximately quarter of the DN024 antenna size [1] but requires
matching components since the impedance is far from 50 ohms (868 MHz: 10-j88; VSWR
22). It is important to match this antenna since the match network is also used for loading the
antenna to 868 MHz or 915 / 920 MHz.
When the miniature helical antenna is matched then the bandwidth is around 40 MHz and has
similar efficiency as DN024 [1] antenna when measured on the TRXEB platform.
A single match network can be used for 868 MHz and 915 / 920 MHz but due to the reduce
bandwidth compared to DN024 antenna [1] then there will be some degradation in
performance. For the antenna matching network components it is recommended to use tight
tolerance components.
Optimal antenna match for the CC110L EM 868 / 915 MHz reference design [3] is a series 1.0
pF capacitor (ANT2) and a shunt inductor of 12 nH (ANT3) for 868 MHz operation.
The PCB board thickness for the CC110L EM 868 / 915 MHz reference design [3] is 0.8 mm.
The same match has been tested at 1.24 mm thick PCB and the performance was still good
but generally if the PCB thickness is changed then the antenna match should be re-calculated.

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Design Note DN038
5

References
[1] DN024 Monopole PCB Antenna (DN024)
[2] DN035 Antenna Quick Selection Guide (DN035)
[3] CC11xL EM 868/915 MHz Ref Design (swrr082)
[4] AN058 Antenna Measurement with Network Analyzer (AN058)

6
6.1

General Information
Document History

Revision

Date

Description/Changes

SWRA416

2012.11.27

Initial release.

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Design Note DN038
7

Appendices

7.1
7.1.1

CTIA OTA Report – 868 MHz (Antenna matched at 868 MHz)
OTA Evaluation Results

Total Radiated Power
Peak EIRP
Directivity
Efficiency
Efficiency
Gain
NHPRP 45°
NHPRP 45° / TRP
NHPRP 45° / TRP
NHPRP 30°
NHPRP 30° / TRP
NHPRP 30° / TRP
NHPRP 22.5°
NHPRP 22.5° / TRP
NHPRP 22.5° / TRP
UHRP
UHRP / TRP
UHRP / TRP
LHRP
LHRP / TRP
LHRP / TRP
Front/Back Ratio
PhiBW
PhiBW Up
PhiBW Down
ThetaBW
ThetaBW Up
ThetaBW Down
Boresight Phi
Boresight Theta
Maximum Power
Minimum Power
Average Power
Max/Min Ratio
Max/Avg Ratio
Min/Avg Ratio
Best Single Value
Best Position

-1.83 dBm
2.33 dBm
4.16 dBi
-1.83 dB
65.55 %
2.33 dBi
-4.06 dBm
-2.23 dB
59.86 %
-5.89 dBm
-4.05 dB
39.32 %
-7.26 dBm
-5.42 dB
28.69 %
-4.91 dBm
-3.07 dB
49.28 %
-4.78 dBm
-2.95 dB
50.72 %
2.52
332.2 deg
238.7 deg
93.4 deg
82.9 deg
46.3 deg
36.6 deg
90 deg
15 deg
2.33 dBm
-12.00 dBm
-0.91 dBm
14.33 dB
3.24 dB
-11.10 dB
1.11 dBm
Phi = 45 deg; Theta = 165 deg; Pol = Ver

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Design Note DN038
7.1.2

RP_868.000_tot

Azimuth
(deg)
0.00
15.00
30.00
45.00
60.00
75.00
90.00
105.00
120.00
135.00
150.00
165.00
180.00
195.00
210.00
225.00
240.00
255.00
270.00
285.00
300.00
315.00
330.00
345.00
360.00

Azimuth
(deg)
0.00
15.00
30.00
45.00
60.00
75.00
90.00
105.00
120.00
135.00
150.00
165.00
180.00
195.00
210.00
225.00
240.00
255.00
270.00
285.00
300.00
315.00
330.00
345.00
360.00

Elevation
0 deg
(dB)
0.02
-0.04
0.08
0.46
0.63
1.19
1.12
1.37
1.47
1.20
1.04
1.04
0.96
0.80
0.91
0.71
0.88
0.85
0.98
0.94
0.86
0.85
0.45
0.33
-0.35

Elevation
15 deg
(dB)
-0.55
-0.48
0.04
0.80
1.34
1.85
2.33
2.21
1.92
1.25
0.65
0.25
0.14
0.15
0.58
0.70
0.77
0.76
0.64
0.29
0.09
-0.23
-0.71
-1.06
-0.55

Elevation
30 deg
(dB)
-1.69
-0.80
0.05
0.81
1.42
1.99
2.00
1.97
1.68
1.22
0.65
0.64
0.33
0.24
-0.06
-0.32
-0.90
-1.59
-2.34
-3.49
-3.82
-3.65
-3.37
-2.72
-2.02

Elevation
45 deg
(dB)
-3.23
-2.29
-0.56
0.59
1.60
1.78
1.95
1.65
0.57
-0.69
-1.58
-2.14
-2.17
-2.14
-2.21
-2.75
-3.48
-4.90
-6.81
-8.36
-8.52
-7.17
-5.39
-4.77
-3.50

Elevation
60 deg
(dB)
-2.91
-1.12
0.06
0.92
1.02
0.57
-0.58
-1.54
-2.67
-3.29
-3.26
-3.25
-2.97
-2.70
-3.18
-3.63
-4.99
-6.85
-7.89
-7.48
-6.04
-5.33
-4.28
-3.70
-3.23

Elevation
120 deg
(dB)
-0.76
-1.03
-0.65
0.19
0.15
-0.60
-1.84
-3.63
-4.61
-3.93
-2.76
-1.84
-1.28
-0.87
-0.70
-1.46
-2.37
-3.54
-4.36
-4.49
-3.36
-1.91
-0.78
-0.13
-0.81

Elevation
135 deg
(dB)
-2.14
-1.52
-0.91
-0.33
0.13
-0.27
-0.98
-1.76
-2.51
-2.41
-2.06
-1.90
-1.51
-1.60
-1.57
-1.79
-1.91
-1.96
-2.45
-2.45
-2.34
-2.28
-2.28
-2.07
-2.13

Elevation
150 deg
(dB)
0.37
1.09
1.35
1.21
0.65
-0.24
-1.34
-2.10
-2.33
-1.83
-0.94
-0.46
-0.15
-0.32
-0.80
-1.02
-0.86
-1.24
-1.54
-1.31
-1.29
-0.73
-0.43
0.01
0.39

Elevation
165 deg
(dB)
1.33
1.31
1.53
1.31
0.89
0.79
0.26
0.20
-0.20
-0.29
-0.06
0.21
0.31
0.54
0.21
0.08
-0.10
-0.10
-0.19
-0.31
-0.15
-0.03
0.37
0.66
1.19

Elevation
180 deg
(dB)
0.87
0.85
0.76
0.45
0.17
-0.10
-0.26
-0.06
0.09
0.70
1.32
1.81
1.98
1.65
1.33
0.61
-0.01
-0.56
-0.61
-0.74
-0.50
-0.03
0.43
0.69
0.52

SWRA416

Elevation
75 deg
(dB)
-2.06
-0.76
0.48
0.74
0.60
-0.25
-1.64
-3.80
-6.03
-6.70
-5.29
-3.79
-2.32
-1.86
-1.65
-2.49
-3.50
-5.37
-7.40
-8.68
-8.61
-7.12
-7.11
-5.69
-2.91

Elevation
90 deg
(dB)
-1.31
-0.52
-1.00
-1.25
-2.04
-2.81
-4.64
-7.33
-11.79
-12.00
-7.51
-4.77
-2.90
-2.48
-2.80
-4.01
-5.53
-7.83
-9.26
-11.38
-9.86
-8.26
-5.75
-3.32
-1.78

Elevation
105 deg
(dB)
-0.58
-1.20
-1.71
-1.39
-1.20
-1.24
-2.42
-4.84
-6.83
-7.10
-5.75
-3.39
-1.64
-0.39
-0.09
-0.41
-1.75
-3.27
-5.09
-7.19
-6.42
-4.34
-2.38
-1.22
-0.68

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Design Note DN038
7.1.3

RP_868.000_hor

Azimuth
(deg)
0.0
15.0
30.0
45.0
60.0
75.0
90.0
105.0
120.0
135.0
150.0
165.0
180.0
195.0
210.0
225.0
240.0
255.0
270.0
285.0
300.0
315.0
330.0
345.0
360.0

Azimuth
(deg)
0.0
15.0
30.0
45.0
60.0
75.0
90.0
105.0
120.0
135.0
150.0
165.0
180.0
195.0
210.0
225.0
240.0
255.0
270.0
285.0
300.0
315.0
330.0
345.0
360.0

Elevation
0 deg
(dB)
-4.16
-6.76
-10.53
-9.41
-6.02
-3.19
-1.25
0.14
0.94
0.90
0.47
-0.60
-2.38
-5.40
-8.54
-10.51
-7.07
-3.64
-1.81
-0.68
-0.07
0.20
-0.69
-1.68
-3.92

Elevation
15 deg
(dB)
-5.12
-7.78
-9.87
-7.61
-5.10
-2.47
-0.48
0.57
1.07
0.81
0.01
-1.40
-4.03
-8.08
-13.22
-10.14
-6.29
-3.82
-2.37
-1.63
-1.38
-1.52
-2.21
-3.39
-4.37

Elevation
30 deg
(dB)
-6.99
-8.26
-9.14
-9.08
-6.47
-3.22
-1.14
0.09
0.66
0.68
-0.31
-1.56
-3.98
-7.44
-11.98
-15.98
-11.62
-8.03
-5.92
-5.86
-5.66
-5.28
-5.85
-6.33
-6.90

Elevation
45 deg
(dB)
-9.59
-11.23
-13.25
-11.76
-7.35
-4.56
-2.24
-1.25
-1.17
-1.62
-2.79
-4.71
-7.25
-11.65
-17.44
-21.30
-14.77
-13.01
-12.33
-11.25
-11.20
-10.46
-9.82
-9.63
-9.18

Elevation
60 deg
(dB)
-12.40
-15.26
-16.86
-11.68
-9.39
-7.23
-6.06
-4.56
-4.13
-4.06
-4.71
-6.59
-9.81
-14.07
-18.71
-17.17
-14.74
-13.77
-12.56
-12.19
-11.60
-11.06
-9.10
-9.44
-11.27

Elevation
120 deg
(dB)
-5.95
-7.74
-10.02
-12.26
-14.37
-13.44
-10.31
-7.97
-6.03
-4.71
-4.53
-5.42
-7.81
-12.81
-22.70
-13.82
-10.53
-7.85
-6.50
-5.38
-4.58
-3.94
-3.52
-3.98
-5.47

Elevation
135 deg
(dB)
-5.72
-6.58
-8.42
-9.58
-9.62
-8.08
-5.75
-3.99
-3.09
-2.49
-2.69
-3.82
-5.62
-9.68
-19.50
-15.45
-9.04
-5.76
-4.35
-3.44
-3.04
-3.32
-3.77
-4.29
-5.69

Elevation
150 deg
(dB)
-2.33
-3.13
-4.56
-7.20
-9.34
-9.03
-6.02
-3.94
-2.63
-2.09
-2.01
-2.99
-4.68
-7.88
-13.80
-18.70
-9.58
-5.83
-3.44
-2.22
-1.52
-0.94
-0.98
-1.31
-1.82

Elevation
165 deg
(dB)
-2.15
-4.16
-7.56
-12.25
-11.88
-6.38
-3.44
-1.46
-0.64
-0.34
-0.66
-1.59
-3.52
-6.24
-12.67
-17.43
-9.64
-5.25
-2.53
-1.26
-0.40
-0.13
-0.19
-0.86
-1.64

Elevation
180 deg
(dB)
-3.58
-6.26
-9.99
-16.62
-10.12
-5.53
-2.83
-0.98
-0.05
0.57
0.58
0.11
-1.09
-3.56
-7.29
-17.19
-13.11
-6.89
-3.42
-1.56
-0.61
-0.27
-0.57
-1.50
-3.33

SWRA416

Elevation
75 deg
(dB)
-18.01
-12.98
-10.46
-9.79
-9.50
-10.27
-10.02
-9.49
-8.71
-8.04
-8.16
-8.59
-10.30
-11.99
-14.46
-17.02
-20.18
-22.70
-22.70
-22.70
-21.61
-18.27
-16.50
-22.62
-22.70

Elevation
90 deg
(dB)
-10.47
-9.90
-11.90
-14.69
-18.97
-19.30
-16.55
-14.42
-15.05
-17.48
-19.20
-16.45
-14.79
-15.21
-15.42
-17.49
-22.70
-21.66
-18.08
-17.50
-17.27
-18.37
-16.84
-13.44
-10.75

Elevation
105 deg
(dB)
-6.31
-8.02
-10.38
-11.82
-11.68
-11.80
-11.80
-10.88
-10.39
-10.19
-11.48
-14.01
-19.31
-16.76
-14.48
-12.57
-12.50
-10.78
-9.96
-9.78
-8.39
-6.73
-5.62
-5.71
-6.34

Page 13 of 24

Design Note DN038
7.1.4

RP_868.000_ver

Azimuth
(deg)
0.0
15.0
30.0
45.0
60.0
75.0
90.0
105.0
120.0
135.0
150.0
165.0
180.0
195.0
210.0
225.0
240.0
255.0
270.0
285.0
300.0
315.0
330.0
345.0
360.0

Azimuth
(deg)
0.0
15.0
30.0
45.0
60.0
75.0
90.0
105.0
120.0
135.0
150.0
165.0
180.0
195.0
210.0
225.0
240.0
255.0
270.0
285.0
300.0
315.0
330.0
345.0
360.0

Elevation
0 deg
(dB)
-2.07
-1.08
-0.31
-0.01
-0.43
-0.79
-2.65
-4.69
-7.89
-10.56
-8.05
-3.97
-1.75
-0.40
0.39
0.37
0.13
-1.05
-2.25
-4.12
-6.30
-7.73
-5.93
-3.99
-2.86

Elevation
15 deg
(dB)
-2.41
-1.37
-0.42
0.13
0.23
-0.15
-0.89
-2.82
-5.58
-8.91
-7.96
-4.75
-1.96
-0.56
0.40
0.33
-0.18
-1.10
-2.38
-4.18
-5.33
-6.12
-6.05
-4.87
-2.89

Elevation
30 deg
(dB)
-3.21
-1.66
-0.50
0.34
0.65
0.43
-0.88
-2.57
-5.11
-8.10
-6.38
-3.38
-1.68
-0.57
-0.34
-0.44
-1.28
-2.71
-4.84
-7.26
-8.44
-8.69
-6.98
-5.20
-3.72

Elevation
45 deg
(dB)
-4.37
-2.88
-0.80
0.33
1.01
0.64
-0.14
-1.48
-4.24
-7.86
-7.71
-5.63
-3.79
-2.65
-2.34
-2.81
-3.81
-5.63
-8.24
-11.49
-11.90
-9.93
-7.33
-6.49
-4.86

Elevation
60 deg
(dB)
-3.42
-1.29
-0.03
0.67
0.60
-0.22
-2.03
-4.53
-8.11
-11.18
-8.71
-5.94
-3.98
-3.02
-3.31
-3.82
-5.47
-7.83
-9.71
-9.27
-7.46
-6.68
-6.02
-5.05
-3.97

Elevation
120 deg
(dB)
-2.33
-2.08
-1.18
-0.07
0.00
-0.83
-2.50
-5.62
-10.17
-11.78
-7.52
-4.34
-2.37
-1.16
-0.73
-1.72
-3.09
-5.54
-8.48
-11.83
-9.47
-6.20
-4.08
-2.44
-2.63

Elevation
135 deg
(dB)
-4.65
-3.14
-1.76
-0.88
-0.35
-1.06
-2.75
-5.74
-11.57
-19.62
-10.79
-6.37
-3.64
-2.34
-1.64
-1.98
-2.85
-4.30
-6.97
-9.34
-10.64
-9.01
-7.65
-6.05
-4.65

Elevation
150 deg
(dB)
-2.98
-0.98
0.07
0.53
0.19
-0.86
-3.15
-6.70
-14.09
-14.19
-7.55
-3.99
-2.04
-1.16
-1.03
-1.10
-1.48
-3.10
-6.05
-8.55
-14.24
-14.06
-9.69
-5.79
-3.61

Elevation
165 deg
(dB)
-1.26
-0.14
0.96
1.11
0.65
-0.13
-2.16
-4.78
-10.39
-19.71
-8.95
-4.48
-2.01
-0.48
-0.02
0.00
-0.61
-1.68
-3.99
-7.35
-12.74
-16.80
-8.78
-4.63
-2.01

Elevation
180 deg
(dB)
-1.05
-0.09
0.38
0.36
-0.26
-1.56
-3.75
-7.27
-14.67
-14.33
-6.75
-3.10
-0.97
0.09
0.69
0.54
-0.23
-1.72
-3.83
-8.40
-16.57
-12.83
-6.44
-3.33
-1.79

SWRA416

Elevation
75 deg
(dB)
-2.18
-1.03
0.11
0.33
0.15
-0.70
-2.32
-5.17
-9.39
-12.47
-8.45
-5.54
-3.07
-2.30
-1.89
-2.65
-3.59
-5.45
-7.53
-8.86
-8.84
-7.46
-7.64
-5.78
-2.96

Elevation
90 deg
(dB)
-1.87
-1.05
-1.36
-1.45
-2.13
-2.91
-4.93
-8.28
-14.56
-13.45
-7.81
-5.08
-3.20
-2.72
-3.05
-4.21
-5.62
-8.01
-9.87
-12.59
-10.73
-8.70
-6.10
-3.77
-2.36

Elevation
105 deg
(dB)
-1.93
-2.21
-2.35
-1.81
-1.60
-1.64
-2.95
-6.08
-9.35
-10.04
-7.10
-3.79
-1.72
-0.49
-0.25
-0.68
-2.13
-4.12
-6.81
-10.67
-10.81
-8.08
-5.17
-3.13
-2.05

Page 14 of 24

Design Note DN038
7.1.5

Theta = 0, Phi = 0

7.1.6

Theta = 180, Phi = 0

SWRA416

Page 15 of 24

Design Note DN038
7.1.7

Theta = 90, Phi = 0

7.1.8

Theta = 90, Phi = 180

SWRA416

Page 16 of 24

Design Note DN038
7.1.9

Theta = 90, Phi = 270

7.1.10 Theta = 90, Phi = 90

SWRA416

Page 17 of 24

Design Note DN038
7.2

7.2.1

CTIA OTA Report – 915 MHz (Antenna matched at 868 MHz)

OTA Evaluation Results:

Total Radiated Power
Peak EIRP
Directivity
Efficiency
Efficiency
Gain
NHPRP 45°
NHPRP 45° / TRP
NHPRP 45° / TRP
NHPRP 30°
NHPRP 30° / TRP
NHPRP 30° / TRP
NHPRP 22.5°
NHPRP 22.5° / TRP
NHPRP 22.5° / TRP
UHRP
UHRP / TRP
UHRP / TRP
LHRP
LHRP / TRP
LHRP / TRP
Front/Back Ratio
PhiBW
PhiBW Up
PhiBW Down
ThetaBW
ThetaBW Up
ThetaBW Down
Boresight Phi
Boresight Theta
Maximum Power
Minimum Power
Average Power
Max/Min Ratio
Max/Avg Ratio
Min/Avg Ratio
Best Single Value
Best Position

-3.35 dBm
0.01 dBm
3.37 dBi
-3.35 dB
46.20 %
0.01 dBi
-5.54 dBm
-2.19 dB
60.42 %
-7.39 dBm
-4.04 dB
39.49 %
-8.72 dBm
-5.37 dB
29.05 %
-6.28 dBm
-2.92 dB
51.01 %
-6.45 dBm
-3.10 dB
48.99 %
4.40
85.3 deg
40.5 deg
44.8 deg
272.4 deg
118.8 deg
153.5 deg
210 deg
105 deg
0.01 dBm
-15.33 dBm
-2.61 dBm
15.34 dB
2.62 dB
-12.72 dB
-0.16 dBm
Phi = 210 deg; Theta = 105 deg; Pol = Ver

SWRA416

Page 18 of 24

Design Note DN038
7.2.2

RP_915.000_tot

Azimuth
(deg)
0.00
15.00
30.00
45.00
60.00
75.00
90.00
105.00
120.00
135.00
150.00
165.00
180.00
195.00
210.00
225.00
240.00
255.00
270.00
285.00
300.00
315.00
330.00
345.00
360.00

Azimuth
(deg)
0.00
15.00
30.00
45.00
60.00
75.00
90.00
105.00
120.00
135.00
150.00
165.00
180.00
195.00
210.00
225.00
240.00
255.00
270.00
285.00
300.00
315.00
330.00
345.00
360.00

Elevation
0 deg
(dB)
-1.09
-1.29
-1.24
-1.31
-1.51
-1.54
-1.87
-2.24
-2.37
-2.45
-2.33
-2.26
-2.32
-2.03
-2.26
-2.05
-1.78
-1.57
-1.39
-1.20
-1.31
-1.24
-1.15
-1.10
-1.38

Elevation
15 deg
(dB)
-2.11
-2.11
-1.80
-1.26
-1.20
-1.00
-0.83
-0.90
-1.11
-1.41
-1.40
-1.45
-1.49
-1.42
-1.42
-1.12
-1.42
-1.43
-1.80
-2.25
-2.55
-2.58
-2.71
-2.81
-2.29

Elevation
30 deg
(dB)
-2.67
-2.21
-1.61
-1.82
-1.54
-1.76
-1.77
-1.61
-1.05
-0.56
-0.26
-0.19
-0.07
-0.32
-0.66
-0.87
-1.48
-2.17
-2.71
-3.41
-3.62
-3.72
-3.40
-3.10
-2.77

Elevation
45 deg
(dB)
-3.21
-3.23
-2.63
-1.96
-1.21
-0.66
-0.65
-0.77
-1.20
-1.38
-1.33
-1.42
-1.35
-1.41
-1.46
-1.87
-2.69
-3.49
-4.99
-5.66
-6.05
-5.53
-4.94
-3.94
-3.35

Elevation
60 deg
(dB)
-6.21
-5.40
-4.14
-2.98
-2.09
-1.73
-2.03
-3.02
-3.40
-3.29
-2.57
-1.81
-1.47
-1.75
-2.13
-2.80
-4.50
-6.35
-8.18
-8.97
-8.69
-8.54
-7.90
-7.34
-6.74

Elevation
120 deg
(dB)
-5.15
-4.56
-3.45
-2.44
-2.04
-2.64
-4.14
-6.22
-7.19
-6.89
-4.91
-3.36
-2.42
-1.81
-1.81
-2.13
-2.58
-3.76
-4.80
-5.12
-5.04
-4.92
-5.22
-4.90
-5.13

Elevation
135 deg
(dB)
-5.17
-4.45
-3.11
-2.29
-1.92
-2.14
-2.87
-3.71
-4.78
-4.75
-3.95
-3.28
-2.48
-1.96
-1.70
-1.54
-1.75
-2.01
-2.81
-3.09
-3.96
-5.05
-5.78
-5.78
-5.74

Elevation
150 deg
(dB)
-2.23
-1.75
-1.54
-1.76
-2.02
-2.55
-3.26
-3.98
-3.75
-3.15
-2.43
-1.93
-1.59
-1.28
-1.38
-1.56
-1.79
-1.93
-2.21
-2.20
-2.32
-2.38
-2.28
-2.04
-2.02

Elevation
165 deg
(dB)
-1.10
-1.39
-1.38
-1.13
-0.96
-0.81
-0.70
-0.75
-0.77
-1.25
-1.63
-1.67
-1.61
-1.73
-1.55
-1.31
-1.48
-1.42
-1.57
-1.42
-1.31
-1.27
-1.05
-1.25
-1.06

Elevation
180 deg
(dB)
-0.45
-0.59
-0.69
-0.99
-1.10
-0.81
-1.11
-0.80
-0.72
-0.56
-0.45
-0.69
-0.88
-1.25
-1.69
-1.87
-2.12
-1.93
-2.17
-1.65
-1.05
-0.53
-0.20
-0.09
-0.52

SWRA416

Elevation
75 deg
(dB)
-7.46
-5.93
-4.38
-3.29
-2.39
-2.82
-3.90
-5.23
-6.89
-6.70
-4.63
-2.49
-1.17
-0.68
-1.04
-1.70
-3.24
-4.76
-6.66
-8.81
-10.09
-10.57
-10.23
-9.36
-8.00

Elevation
90 deg
(dB)
-7.02
-5.16
-3.52
-2.76
-2.36
-2.75
-4.55
-7.19
-12.40
-13.49
-8.31
-4.92
-2.67
-1.96
-2.35
-3.32
-5.18
-7.75
-11.21
-14.00
-15.33
-14.59
-11.90
-9.25
-7.42

Elevation
105 deg
(dB)
-6.05
-5.56
-4.43
-3.39
-2.48
-2.86
-4.72
-8.17
-13.73
-10.32
-5.78
-3.01
-1.34
-0.23
0.01
-0.52
-1.64
-3.56
-5.51
-7.68
-8.97
-8.42
-7.50
-6.90
-6.26

Page 19 of 24

Design Note DN038
7.2.3

RP_915.000_hor

Azimuth
(deg)
0.0
15.0
30.0
45.0
60.0
75.0
90.0
105.0
120.0
135.0
150.0
165.0
180.0
195.0
210.0
225.0
240.0
255.0
270.0
285.0
300.0
315.0
330.0
345.0
360.0

Azimuth
(deg)
0.0
15.0
30.0
45.0
60.0
75.0
90.0
105.0
120.0
135.0
150.0
165.0
180.0
195.0
210.0
225.0
240.0
255.0
270.0
285.0
300.0
315.0
330.0
345.0
360.0

Elevation
0 deg
(dB)
-5.94
-8.64
-11.34
-11.19
-8.60
-6.50
-4.42
-3.65
-3.18
-3.10
-3.61
-4.67
-6.61
-9.20
-12.09
-10.64
-7.46
-5.09
-3.52
-2.42
-2.25
-2.33
-2.91
-4.08
-5.87

Elevation
15 deg
(dB)
-7.73
-9.66
-11.09
-11.23
-8.44
-5.78
-3.56
-2.28
-1.78
-1.95
-2.64
-4.38
-6.61
-10.13
-12.92
-10.41
-7.71
-5.60
-4.57
-4.04
-3.96
-4.21
-5.02
-6.32
-7.16

Elevation
30 deg
(dB)
-8.14
-9.28
-11.32
-13.18
-10.43
-7.36
-4.41
-2.67
-1.58
-1.46
-2.15
-3.69
-6.08
-8.91
-11.64
-10.31
-8.14
-6.74
-5.73
-5.57
-5.62
-6.13
-6.69
-7.02
-7.91

Elevation
45 deg
(dB)
-7.43
-9.11
-10.70
-10.66
-8.20
-5.27
-3.41
-2.26
-1.94
-2.14
-3.11
-5.38
-8.28
-11.62
-11.30
-10.59
-9.35
-8.56
-8.61
-8.01
-8.46
-8.28
-8.06
-7.48
-6.99

Elevation
60 deg
(dB)
-11.86
-13.79
-16.72
-14.84
-11.28
-8.07
-5.76
-5.02
-4.05
-3.88
-4.43
-5.90
-8.49
-11.75
-14.18
-14.40
-14.35
-14.72
-14.80
-14.86
-14.28
-13.69
-12.50
-11.70
-11.67

Elevation
120 deg
(dB)
-10.25
-12.10
-13.54
-15.14
-15.91
-16.34
-13.65
-10.47
-8.50
-8.49
-8.58
-9.88
-12.47
-18.10
-16.44
-10.94
-8.60
-7.11
-6.38
-5.92
-5.75
-6.00
-6.98
-7.68
-9.74

Elevation
135 deg
(dB)
-10.26
-10.81
-10.83
-11.47
-11.56
-9.84
-7.55
-5.91
-5.14
-5.00
-5.64
-7.56
-10.42
-15.90
-18.39
-11.95
-7.67
-5.73
-4.95
-4.27
-4.75
-6.03
-7.32
-8.73
-10.81

Elevation
150 deg
(dB)
-5.37
-6.04
-8.16
-11.00
-12.65
-10.26
-6.87
-5.28
-3.91
-3.73
-4.63
-6.12
-9.03
-13.95
-15.79
-10.92
-7.32
-4.94
-3.43
-2.61
-2.50
-2.78
-3.13
-3.81
-4.79

Elevation
165 deg
(dB)
-5.43
-8.45
-12.64
-12.96
-8.18
-5.17
-2.91
-1.75
-1.03
-1.42
-2.56
-4.13
-6.54
-10.81
-12.95
-9.39
-6.68
-4.25
-2.85
-1.78
-1.40
-1.58
-2.10
-3.30
-4.58

Elevation
180 deg
(dB)
-5.89
-8.80
-13.95
-12.58
-7.78
-4.36
-2.71
-1.43
-0.85
-0.76
-1.34
-2.50
-4.49
-7.72
-12.09
-13.28
-8.84
-5.23
-3.51
-1.97
-1.17
-1.06
-1.52
-2.78
-4.95

SWRA416

Elevation
75 deg
(dB)
-17.06
-17.09
-17.39
-15.17
-12.36
-12.08
-10.82
-9.19
-7.93
-7.37
-7.74
-8.34
-9.48
-11.60
-14.35
-15.25
-18.25
-20.89
-21.74
-20.89
-22.09
-21.93
-21.43
-17.58
-17.16

Elevation
90 deg
(dB)
-13.93
-13.79
-13.19
-13.74
-14.86
-15.99
-17.80
-16.46
-16.27
-15.70
-15.07
-14.86
-13.82
-14.53
-14.23
-16.41
-17.74
-22.62
-24.22
-23.74
-21.88
-21.81
-17.15
-14.45
-13.44

Elevation
105 deg
(dB)
-12.37
-13.93
-16.91
-16.93
-15.84
-14.05
-13.93
-14.61
-14.53
-14.36
-14.98
-17.32
-24.22
-18.21
-14.21
-12.86
-11.80
-11.90
-11.33
-11.91
-11.37
-10.50
-10.06
-10.65
-11.62

Page 20 of 24

Design Note DN038
7.2.4

RP_915.000_ver

Azimuth
(deg)
0.0
15.0
30.0
45.0
60.0
75.0
90.0
105.0
120.0
135.0
150.0
165.0
180.0
195.0
210.0
225.0
240.0
255.0
270.0
285.0
300.0
315.0
330.0
345.0
360.0

Azimuth
(deg)
0.0
15.0
30.0
45.0
60.0
75.0
90.0
105.0
120.0
135.0
150.0
165.0
180.0
195.0
210.0
225.0
240.0
255.0
270.0
285.0
300.0
315.0
330.0
345.0
360.0

Elevation
0 deg
(dB)
-2.81
-2.17
-1.68
-1.78
-2.45
-3.21
-5.40
-7.81
-10.07
-11.00
-8.28
-5.98
-4.35
-2.95
-2.73
-2.70
-3.15
-4.12
-5.49
-7.31
-8.43
-7.78
-5.94
-4.13
-3.28

Elevation
15 deg
(dB)
-3.50
-2.96
-2.34
-1.72
-2.11
-2.76
-4.13
-6.56
-9.59
-10.72
-7.43
-4.56
-3.09
-2.05
-1.74
-1.67
-2.58
-3.54
-5.07
-6.97
-8.13
-7.63
-6.55
-5.38
-4.00

Elevation
30 deg
(dB)
-4.12
-3.16
-2.10
-2.15
-2.14
-3.16
-5.19
-8.26
-10.38
-7.86
-4.78
-2.76
-1.33
-0.97
-1.02
-1.40
-2.53
-4.04
-5.72
-7.49
-7.93
-7.43
-6.16
-5.36
-4.35

Elevation
45 deg
(dB)
-5.27
-4.53
-3.37
-2.59
-2.17
-2.50
-3.92
-6.14
-9.27
-9.28
-6.06
-3.65
-2.33
-1.84
-1.93
-2.50
-3.74
-5.11
-7.46
-9.45
-9.77
-8.81
-7.85
-6.47
-5.81

Elevation
60 deg
(dB)
-7.59
-6.08
-4.39
-3.27
-2.64
-2.87
-4.42
-7.36
-11.95
-12.26
-7.16
-3.95
-2.43
-2.21
-2.41
-3.11
-4.98
-7.03
-9.25
-10.26
-10.09
-10.12
-9.75
-9.32
-8.43

Elevation
120 deg
(dB)
-6.75
-5.40
-3.90
-2.68
-2.22
-2.83
-4.65
-8.26
-13.01
-11.99
-7.34
-4.46
-2.87
-1.91
-1.97
-2.75
-3.83
-6.45
-9.94
-12.83
-13.25
-11.50
-9.98
-8.15
-6.98

Elevation
135 deg
(dB)
-6.77
-5.59
-3.92
-2.85
-2.42
-2.94
-4.68
-7.73
-15.76
-17.34
-8.86
-5.32
-3.24
-2.14
-1.79
-1.95
-3.04
-4.41
-6.92
-9.34
-11.78
-12.01
-11.03
-8.85
-7.36

Elevation
150 deg
(dB)
-5.12
-3.77
-2.60
-2.31
-2.41
-3.36
-5.75
-9.83
-18.06
-12.18
-6.43
-4.01
-2.45
-1.52
-1.55
-2.10
-3.21
-4.95
-8.35
-12.66
-16.18
-12.94
-9.77
-6.79
-5.28

Elevation
165 deg
(dB)
-3.09
-2.34
-1.72
-1.42
-1.88
-2.79
-4.68
-7.61
-12.98
-15.57
-8.79
-5.31
-3.29
-2.30
-1.88
-2.05
-3.05
-4.62
-7.51
-12.43
-18.26
-12.92
-7.72
-5.49
-3.62

Elevation
180 deg
(dB)
-1.91
-1.30
-0.90
-1.30
-2.15
-3.34
-6.21
-9.45
-16.31
-13.97
-7.76
-5.37
-3.36
-2.36
-2.11
-2.20
-3.16
-4.66
-7.93
-13.22
-16.54
-9.96
-6.00
-3.44
-2.46

SWRA416

Elevation
75 deg
(dB)
-7.96
-6.28
-4.61
-3.58
-2.85
-3.37
-4.89
-7.46
-13.64
-15.16
-7.54
-3.80
-1.86
-1.05
-1.24
-1.89
-3.38
-4.86
-6.79
-9.08
-10.37
-10.90
-10.57
-10.06
-8.56

Elevation
90 deg
(dB)
-8.01
-5.80
-4.01
-3.12
-2.62
-2.96
-4.76
-7.74
-14.70
-17.48
-9.33
-5.38
-3.01
-2.20
-2.64
-3.54
-5.43
-7.90
-11.43
-14.49
-16.41
-15.50
-13.44
-10.81
-8.67

Elevation
105 deg
(dB)
-7.20
-6.24
-4.68
-3.58
-2.69
-3.21
-5.28
-9.29
-21.45
-12.49
-6.34
-3.17
-1.36
-0.30
-0.16
-0.79
-2.08
-4.25
-6.83
-9.75
-12.69
-12.62
-11.03
-9.28
-7.76

Page 21 of 24

Design Note DN038
7.2.5

Theta = 0, Phi = 0

7.2.6

Theta = 180, Phi = 0

SWRA416

Page 22 of 24

Design Note DN038
7.2.7

Theta = 90, Phi = 0

7.2.8

Theta = 90, Phi = 180

SWRA416

Page 23 of 24

Design Note DN038
7.2.9

Theta = 90, Phi = 270

7.2.10 Theta = 90, Phi = 90

SWRA416

Page 24 of 24

IMPORTANT NOTICE
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Page Count                      : 25
Modify Date                     : 2012:11:28 12:04:04-06:00
Producer                        : iText 2.1.7 by 1T3XT
Keywords                        : REGULATIONS, FCC, ETSI, ARIB, JTI, SWRA416
Title                           : Miniature Helical PCB Antenna for 868 MHz or 915/920 MHz
Author                          : Texas Instruments, Incorporated [SWRA416,*]
Create Date                     : 2012:11:28 12:04:04-06:00
Creator                         : Microsoft® Office Word 2007
Subject                         : Application Reports
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