Application Note DN034
By Richard Wallace & Steve Dunbar
2.4 GHz YAGI PCB Antenna
Keywords
• • • •
Antenna Selection Directional Antenna Yagi PCB Antenna 2.4 GHz Antenna
• OTA Measurements • CC2xxx • CC8520
1 Introduction
This application note describes a 2.4 GHz Yagi PCB Directional Antenna that can be used with any 2.4 GHz radio reference design that has a 50 ohm RF interface.
Figure 1 shows the 2.4 GHz Yagi PCB Directional Antenna test board. The size of the board is 100 x 150 mm.
The bandwidth, impedance and OTA measurement results are presented in this document. Complete OTA CTIA measurements are included in the appendices section.
This antenna design is one of the several antenna reference designs available on www.ti.com/lpw and is included in the Comprehensive Antenna Selection Guide [1] and the Antenna Selection Quick Guide [7].
Pros and cons of directional antennas are mentioned and the correct choice of antenna will improve system performance.
With special thanks to Luke Sankey and the University of Colorado for their assistance in making this design note possible.
Figure 1. 2.4 GHz Yagi PCB Directional Antenna Test Board
SWRA350 Page 1 of 28
Application Note DN034
Table of Contents
KEYWORDS 1 1 INTRODUCTION 1 2 ABBREVIATIONS 2 3 BOARD DESCRIPTION 3 3.1 IMPLEMENTATION OF THE 2.4 GHZ YAGI PCB DIRECTIONAL ANTENNA 4 4 MEASUREMENTS 5 4.1 S11 MEASUREMENTS 5 4.1.1 Bandwidth 5 4.1.2 Impedance 6 4.2 RADIATION PATTERN 7 4.3 OTA TEST RESULTS FOR 2400 MHZ, 2440 MHZ & 2480 MHZ 8 5 SUMMARY 9 6 REFERENCES 10 7 GENERAL INFORMATION 10 7.1 DOCUMENT HISTORY 10 8 APPENDICES 11 8.1 OTA TEST RESULTS FOR FREQUENCY 2400.000 MHZ 11 8.2 OTA TEST RESULTS FOR FREQUENCY 2440.000 MHZ 17 8.3 OTA TEST RESULTS FOR FREQUENCY 2480.000 MHZ 23
2 Abbreviations
AN Application Note AUT Antenna Under Test CPW CoPlanar Waveguide CTIA Cellular Telecommunications Industry Association DK Development Kit DN Design Note EB Evaluation Board EIRP Effective Isotropic Radiated Power EM Electro Magnetic EM Evaluation Module IFA Inverted-F Antenna ISM Industrial, Scientific, Medical LOS Line of Sight NHPRP Near Horizon Partial Radiated Power NHPRP45 Near Horizon Partial Radiated Power within 45 degrees angle OTA Over The Air PCB Printed Circuit Board RF Radio Frequency RL Return Loss SWR Standing Wave Ratio TI Texas Instruments TRP Total Radiated Power VSWR Voltage Standing Wave Ratio YAGI Directional Antenna (Original invented by YAGI & UDA)
SWRA350 Page 2 of 28
Application Note DN034
3 Board Description
The antenna described in this document is a Yagi-Uda commonly named as Yagi and is a directional antenna with approximately 7dBi gain. Impedance of the antenna input is 50 Ω which allows easy matching to most networks.
Since PCB vendors manufacturing processes, customer board thickness and application board surroundings vary it is a safe option to include a pi-filter network at the feed point. If the pi-filter network is not required then a zero ohm resistor can be inserted. The compensating network allows for detuning caused by enclosing the antenna in plastic and other objects in close vicinity of the antenna. For further information on impedance matching and impedance measurements, refer to AN058 [1].
Bandwidth and the impedance measurements are shown in Section 4.1. Radiation pattern is shown in Section 4.2.
The printed Yagi antenna shown in Figure 2 was designed with a 3D magnetic simulator for antennas. The antenna has a single ended feed input of 50 Ω and this single ended transmission line is converted to a two-wire feed via the integrated balun, as shown in the red circle in Figure 2 and Figure 5.
The feed dipole element is fed with a two-wire transmission line, and the ground plane, printed on all four layers of the PCB, acts as the reflector. The arms of the feed dipole element are printed on separate layers; the bottom arm stays on the second (Internal, Antenna Bottom) layer, see Figure 4 and Figure 6; while the top arm and all of the directors reside on the top layer (Top, Antenna Top), see Figure 3 and Figure 6.
Figure 2. 2.4 GHz Yagi PCB Directional Antenna Dimensions
SWRA350 Page 3 of 28
Application Note DN034
Figure 3. Layer 3 (Top, Antenna Top Layer)
Figure 4. Layer 2 (Inner, Antenna Bottom Layer)
Figure 5. Balun Transition from 50 Ω Microstrip Line to 50 Ω two wire dipole feed
There is a printed balun in the Yagi antenna design and this can be seen in the red circle in Figure 2 and Figure 5; this is required to feed the 50 Ω two wire dipole (Top, Antenna Top Layer) from a 50 Ω microstrip line (Inner, Antenna Bottom Layer). The balun consists of three sections with a narrowing linear taper shown in more detail in Figure 5. 3.1
Implementation of the 2.4 GHz Yagi PCB Directional Antenna
To obtain optimum performance it is important to make an exact copy of the antenna dimensions. Total area of the antenna is 100 mm by 150 mm (4” by 6”). The antenna design is based upon 2 layers (Antenna Top & Antenna Bottom) of a 4-layer standard, FR4, PCB, 1.6mm (62 mils) stack-up, refer to Figure 6.
A standard 4-layer PCB stack-up was used to incorporate the antenna design on layers 3 & 2; layers 1 & 0 should not be used for routing underneath the antenna but can be used for routing of other sections of the application board design. There is a possibility to port the design to another multi-layer stack-up providing that the distance between Antenna Top and Antenna Bottom is kept the same (226 um); this has not yet been tested but should be feasible.
SWRA350 Page 4 of 28
It is important for the antenna operation to keep the exact dimensions sizes shown in Figure 2, including the extra PCB material around the antenna.
One approach to implement the antenna in a PCB CAD tool is to import the antenna layout from a Gerber file. Such a file is included in the 2.4 GHz Yagi PCB Directional Antenna Reference Design [2]. If the CAD tool being used does not support import of Gerber files, the dimensions included in Figure 2 and Figure 5 can be used.
Application Note DN034
Figure 6. 2 Layer Antenna Design based on a 4 Layer, 1.6mm PCB Stack-Up
4 Measurements
4.1 S11 Measurements 4.1.1 Bandwidth
Figure 7. Bandwidth Measurement
Referring to Figure 7, bandwidth is measured at -10dB return loss point (VSWR of 2.0):
Bandwidth = 2623 MHz(Marker 5) - 2126 MHz(Marker 1) = 497 MHz
SWRA350
Page 5 of 28
4.1.2 Impedance
Application Note DN034
Figure 8. 2.4 GHz Yagi Antenna Test Board 4L, 1.6mm - PCB Stack-Up
Referring to Figure 8, the impedance match for 2.40 GHz(Marker 2), 2.44 GHz(Marker 3) & 2.48 GHz(Marker 4) is good and within VSWR of 1.4. This good match can be seen when the wanted frequency markers (2.40 GHz(Marker 2), 2.44 GHz(Marker 3) & 2.48 GHz(Marker 4)) are in the centre of the Smith chart.
SWRA350 Page 6 of 28
4.2 Radiation Pattern
Application Note DN034
Figure 9. 3D Coordinates for Radiation Patterns
Figure 9 illustrates the coordinates of the 2.4 GHz Yagi antenna test board for the radiation patterns generated from the OTA measurements. The complete OTA measurements are shown in the Appendices Section [8]. Measurements were performed at 2400.000 MHz [8.1], 2440.000 MHz [8.2] and at 2480.000 MHz [8.3].
Figure 10. 3D Radiation Pattern at 2400.000 MHz
The radiation pattern for Yagi antenna can be seen in Figure 10. It can be clearly seen that the main focus of energy is directed in the Z plane. The colours relate to the radiation output power and the scale can be seen in the top, right section of Figure 10. The gain at 2400.000 MHz was recorded at 7.22 dBi.
More radiation patterns are shown in the Appendices Section [8].
SWRA350 Page 7 of 28
4.3
Frequency
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
Application Note DN034
OTA Test Results for 2400 MHz, 2440 MHz & 2480 MHz
2400.000 MHz -0.70 dBm 7.22 dBm 7.92 dBi -0.70 dB 85.20 % 7.22 dBi -4.58 dBm -3.88 dB 40.90 % -7.69 dBm -7.00 dB 19.96 % -9.23 dBm -8.53 dB 14.02 % -1.59 dBm -0.90 dB 81.34 % -7.99 dBm -7.29 dB 18.66 % 14.16 360.0 deg 360.0 deg 360.0 deg 82.1 deg 33.5 deg 48.6 deg 135 deg 15 deg 7.22 dBm -14.96 dBm 1.17 dBm 22.18 dB 6.05 dB -16.13 dB 6.82 dBm
Phi = 180 deg; Theta = 0 deg; Pol = Hor
2440.000 MHz -1.44 dBm 7.18 dBm 8.62 dBi -1.44 dB 71.70 % 7.18 dBi -5.88 dBm -4.43 dB 36.05 % -9.28 dBm -7.83 dB 16.48 % -10.81 dBm -9.37 dB 11.57 % -2.22 dBm -0.77 dB 83.68 % -9.32 dBm -7.87 dB 16.32 % 15.77 360.0 deg 360.0 deg 360.0 deg 76.0 deg 29.3 deg 46.7 deg 135 deg 15 deg 7.18 dBm -16.28 dBm 0.85 dBm 23.46 dB 6.33 dB -17.13 dB 6.65 dBm Phi = 90 deg; Theta = 0 deg; Pol = Ver
2480.000 MHz -2.35 dBm 7.13 dBm 9.48 dBi -2.35 dB 58.24 % 7.13 dBi -6.97 dBm -4.63 dB 34.46 % -9.25 dBm -6.90 dB 20.41 % -10.40 dBm -8.06 dB 15.65 % -3.28 dBm -0.93 dB 80.71 % -9.49 dBm -7.15 dB 19.29 % 15.25 360.0 deg 360.0 deg 360.0 deg 63.6 deg 33.5 deg 30.1 deg 240 deg 0 deg 7.13 dBm -16.81 dBm 0.39 dBm 23.94 dB 6.75 dB -17.20 dB 6.85 dBm Phi = 90 deg; Theta = 0 deg; Pol = Ver
Table 1. OTA Test Results for 2400 MHz, 2440 MHz & 2480 MHz
As can be seen from Table 1, the gain of the antenna is similar across the whole 2.4 GHz ISM band. The efficiency is highest at 2400 MHz and as the frequency increases the efficiency drops slightly.
For an explanation of each measurement result, please refer to the Antenna Selection Guide, AN058 [1].
SWRA350 Page 8 of 28
Application Note DN034
5 Summary
Antenna gain is just a measure of the antenna directivity and an antenna can only ever radiated the power that is entered into the antenna. No amplification is achieved via high gain antennas. When the antenna gain characteristic increases, the main radiation lobe becomes longer and narrower (more directive).
Typically for a system with mobile units it is desirable to have an omni-directional radiation pattern such that the performance will be approximately the same regardless of which direction the units are pointed relative to each other. A concern of using directional antennas is that the positioning of the transmitter and receiver unit must be known in detail. If this information is not known then it is could be better to consider to use a more omni-directional antenna design such as the inverted-F antenna [3]. If the positioning of the transmitter and receiver unit is fixed then this directional antenna is an excellent choice.
To assist in the decision which antenna should be used the Comprehensive Antenna Selection Guide is available [1]. The Antenna Selection Quick Guide [7] is also available and is shown in Figure 11.
Figure 11. DN035 – Antenna Selection Quick Guide
The gain of the YAGI antenna shown in Figure 1 is approx 7 dBi, compared to a more omni-directional antenna with a gain in the region of approx 2 dBi. Theoretically, by increasing the gain 6 dB, the effective range distance will be doubled in a specific direction.
Applications environments such as corridor coverage, metering surveillance, and maximum range distance between two fixed devices can be ideal applications for the directional type of antennas since the antenna gain can be utilized to achieve a greater range distance between two devices.
Another advantage of using a directional antenna is the PA power can be reduced due to the higher gain in the antenna between two devices for a given distance so that current consumption can be reduced.
SWRA350 Page 9 of 28
Application Note DN034
6 References
[1] AN058 – Antenna Selection guide (swra161.pdf)
[2] 2.4 GHz Yagi PCB Directional Antenna Reference Design (swrr074.zip) [3] DN007 - 2.4 GHz Inverted-F Antenna (swru120.pdf)
[4] DN018 - Range Measurements in an Open Field Environment (swra169.pdf) [5] DN031 – CC-Antenna-DK Documentation and Antenna Measurements Summary
(swra328.pdf) [6] CC-Antenna-DK Rev 1.0.0. Reference Design (swrr070.zip) [7] DN035 – Antenna Selection Quick Guide (swra351.pdf)
7 General Information
7.1 Document History
Revision Date Description/Changes SWRA350 2010-10-14 Initial release.
SWRA350 Page 10 of 28
Application Note DN034
8 Appendices
8.1
OTA Test Results for Frequency 2400.000 MHz
RP_2400.000_tot
Azimuth (deg)
Elevation Elevation Elevation Elevation Elevation Elevation Elevation Elevation 0 deg 15 deg 30 deg 45 deg 60 deg 75 deg 90 deg 105 deg(dB) (dB) (dB) (dB) (dB) (dB) (dB) (dB)
0.00 6.34 5.60 3.71 -0.44 -7.12 -13.92 -10.52 -10.06 15.00 6.50 5.45 3.37 -0.59 -7.15 -12.82 -9.89 -10.98 30.00 6.62 5.45 3.96 0.19 -5.35 -11.29 -9.80 -11.27 45.00 6.66 5.60 4.89 1.53 -2.60 -10.31 -9.40 -10.73 60.00 6.63 5.87 5.74 2.83 -0.47 -9.29 -6.71 -8.43 75.00 6.53 6.19 6.35 4.18 1.12 -8.14 -3.93 -5.18 90.00 6.40 6.50 6.67 4.95 1.89 -6.42 -2.31 -3.18 105.00 6.22 6.81 6.67 5.44 2.22 -5.08 -2.16 -2.09 120.00 6.21 7.09 6.47 5.52 2.05 -4.49 -3.17 -2.33 135.00 6.34 7.22 6.08 5.10 1.30 -4.76 -5.74 -3.82 150.00 6.55 7.17 5.70 4.43 0.40 -6.19 -8.59 -5.97 165.00 6.73 7.01 5.26 3.44 -0.72 -8.17 -11.68 -8.78 180.00 6.88 6.76 5.08 2.58 -1.58 -9.96 -12.65 -11.89 195.00 7.01 6.47 5.05 2.02 -1.94 -9.53 -11.06 -13.90 210.00 7.04 6.21 5.17 2.00 -1.49 -8.30 -8.36 -9.05 225.00 7.03 5.93 5.41 2.31 -0.46 -6.77 -5.74 -4.69 240.00 6.97 5.81 5.54 2.72 0.26 -5.39 -3.63 -1.91 255.00 6.79 5.79 5.64 3.14 0.50 -4.30 -2.95 -0.26 270.00 6.56 5.95 5.64 3.41 0.31 -3.90 -3.13 0.34 285.00 6.40 6.18 5.46 3.37 -0.23 -4.87 -4.22 -0.17 300.00 6.31 6.32 5.20 2.94 -0.98 -6.90 -5.93 -1.48 315.00 6.27 6.36 4.81 2.36 -2.25 -9.86 -8.17 -3.87 330.00 6.25 6.24 4.32 1.56 -3.76 -12.40 -10.12 -6.26 345.00 6.33 5.95 3.78 0.60 -5.45 -14.32 -11.02 -8.82 360.00 6.47 5.63 3.63 -0.27 -6.63 -14.96 -10.44 -9.92
(continuation of the \"RP_2400.000_tot\" table from column 9 ...)
Azimuth Elevation Elevation Elevation Elevation Elevation (deg) 120 deg 135 deg 150 deg165 deg180 deg
(dB) (dB) (dB) (dB) (dB)
0.00 -6.46 -2.04 -4.80 -6.86 -7.72 15.00 -5.05 -2.65 -6.29 -7.60 -8.25 30.00 -4.74 -3.07 -7.12 -8.26 -8.73 45.00 -3.91 -3.48 -7.23 -8.93 -9.60 60.00 -2.67 -3.36 -7.00 -9.63 -10.02 75.00 -1.52 -3.20 -6.51 -10.34 -10.43 90.00 -1.21 -3.31 -6.50 -10.59 -10.24 105.00 -1.91 -3.46 -6.53 -10.07 -9.71 120.00 -3.50 -3.98 -6.59 -9.39 -8.79 135.00 -6.36 -4.76 -7.00 -8.34 -7.85 150.00 -9.04 -5.87 -7.12 -7.68 -7.33 165.00 -11.10 -6.47 -7.32 -7.41 -7.32 180.00 -10.83 -5.97 -7.04 -7.33 -7.68 195.00 -9.97 -4.84 -5.88 -7.77 -8.14 210.00 -9.29 -4.59 -4.67 -8.18 -8.81 225.00 -7.87 -4.59 -4.02 -8.53 -10.06 240.00 -6.80 -4.73 -4.14 -8.72 -10.97 255.00 -5.58 -4.75 -4.52 -9.23 -11.03 270.00 -5.31 -4.43 -4.84 -8.80 -11.29 285.00 -5.72 -4.20 -5.08 -8.08 -10.07 300.00 -6.47 -3.74 -4.77 -7.35 -9.28 315.00 -7.63 -3.13 -4.35 -6.94 -8.16 330.00 -8.25 -2.38 -4.17 -6.66 -7.63 345.00 -7.65 -1.89 -4.42 -6.61 -7.40 360.00 -6.24 -1.90 -5.31 -6.66 -7.67
SWRA350
Page 11 of 28
Application Note DN034
Azimuth (deg)
Elevation Elevation Elevation Elevation Elevation Elevation Elevation Elevation 0 deg 15 deg 30 deg 45 deg 60 deg 75 deg 90 deg 105 deg(dB) (dB) (dB) (dB) (dB) (dB) (dB) (dB)
0.0 6.27 5.49 3.46 -0.71 -7.93 -16.99 -11.57 -11.21 15.0 6.30 5.39 3.27 -0.70 -7.87 -16.80 -10.72 -12.37 30.0 5.71 4.78 3.02 -0.98 -8.46 -17.95 -11.37 -13.49 45.0 4.37 3.44 2.18 -2.04 -9.34 -21.03 -12.66 -14.82 60.0 2.16 1.13 0.49 -4.07 -10.74 -18.04 -12.52 -13.77 75.0 -1.88 -3.61 -3.08 -8.62 -13.53 -15.60 -11.96 -13.72 90.0 -10.32 -14.43 -10.69 -20.13 -16.96 -13.70 -12.17 -14.99 105.0 -9.13 -6.13 -10.51 -7.69 -11.11 -12.17 -13.86 -18.18 120.0 -1.23 -0.01 -2.41 -2.50 -6.92 -10.67 -15.70 -21.03 135.0 2.82 3.46 1.55 0.36 -4.15 -9.66 -15.66 -19.43 150.0 5.00 5.24 3.52 1.75 -2.78 -9.78 -14.59 -18.92 165.0 6.28 6.29 4.56 2.37 -2.12 -10.00 -14.16 -18.25 180.0 6.82 6.61 4.96 2.31 -1.97 -10.55 -13.77 -17.20 195.0 6.80 6.39 4.83 1.79 -2.39 -10.34 -13.78 -15.76 210.0 6.17 5.62 4.24 0.93 -3.35 -10.55 -12.78 -15.67 225.0 4.80 4.00 2.99 -0.66 -4.59 -11.64 -12.24 -17.07 240.0 2.59 1.52 0.82 -3.12 -6.25 -13.50 -12.03 -18.08 255.0 -1.43 -3.40 -2.87 -7.75 -9.44 -16.15 -13.47 -16.13 270.0 -9.54 -14.10 -10.26 -16.91 -14.47 -17.99 -16.12 -13.44 285.0 -10.48 -8.14 -13.54 -12.07 -20.97 -18.49 -18.08 -11.18 300.0 -1.84 -1.54 -4.92 -6.55 -14.96 -18.92 -17.56 -9.86 315.0 2.17 2.04 -0.94 -3.63 -11.39 -20.53 -16.66 -9.87 330.0 4.33 3.89 1.17 -2.12 -9.54 -20.90 -15.13 -10.42 345.0 5.73 4.99 2.43 -1.23 -8.47 -19.01 -13.03 -10.88 360.0 6.32 5.40 3.08 -0.86 -7.94 -17.62 -11.60 -11.05 RP_2400.000_hor
(continuation of the \"RP_2400.000_hor\" table from column 9 ...)
Azimuth Elevation Elevation Elevation Elevation Elevation (deg) 120 deg 135 deg 150 deg165 deg180 deg
(dB) (dB) (dB) (dB) (dB)
0.0 -6.89 -2.14 -5.17 -7.17 -8.79 15.0 -5.25 -3.07 -7.19 -8.06 -9.81 30.0 -5.55 -4.30 -9.00 -9.41 -11.09 45.0 -6.29 -6.13 -11.28 -11.54 -13.81 60.0 -7.01 -8.23 -14.19 -14.65 -17.10 75.0 -8.29 -11.59 -16.46 -19.78 -19.39 90.0 -10.58 -15.66 -16.36 -19.93 -17.31 105.0 -15.61 -17.24 -14.31 -15.49 -13.52 120.0 -20.28 -12.66 -12.39 -12.62 -11.19 135.0 -16.27 -9.63 -11.02 -10.40 -9.54 150.0 -13.88 -8.16 -9.67 -9.10 -8.58 165.0 -12.74 -7.28 -8.41 -8.32 -8.22 180.0 -11.72 -6.48 -7.42 -7.87 -8.45 195.0 -11.65 -6.02 -6.28 -8.11 -8.98 210.0 -12.85 -6.98 -5.71 -8.59 -10.21 225.0 -14.88 -9.07 -6.04 -9.46 -12.43 240.0 -17.77 -12.29 -7.75 -10.92 -15.55 255.0 -20.07 -16.85 -10.89 -13.96 -19.34 270.0 -17.67 -17.49 -15.45 -18.26 -18.79 285.0 -15.08 -12.11 -16.45 -17.12 -14.63 300.0 -13.65 -8.78 -10.91 -13.51 -11.81 315.0 -12.96 -5.76 -7.43 -10.32 -9.65 330.0 -11.61 -3.62 -5.64 -8.56 -8.70 345.0 -9.27 -2.31 -4.96 -7.45 -8.39 360.0 -6.82 -2.00 -5.70 -6.98 -8.84
SWRA350 Page 12 of 28
Application Note DN034
Azimuth (deg)
Elevation Elevation Elevation Elevation Elevation Elevation Elevation Elevation 0 deg 15 deg 30 deg 45 deg 60 deg 75 deg 90 deg 105 deg(dB) (dB) (dB) (dB) (dB) (dB) (dB) (dB)
0.0 -12.09 -10.53 -8.87 -12.61 -14.84 -16.86 -17.19 -16.38 15.0 -6.83 -12.85 -12.78 -16.66 -15.30 -15.04 -17.48 -16.58 30.0 -0.61 -3.00 -3.17 -6.08 -8.25 -12.34 -14.99 -15.24 45.0 2.80 1.54 1.55 -0.99 -3.63 -10.69 -12.18 -12.87 60.0 4.71 4.09 4.20 1.84 -0.90 -9.92 -8.04 -9.94 75.0 5.85 5.71 5.83 3.95 0.97 -9.00 -4.67 -5.83 90.0 6.30 6.46 6.59 4.93 1.83 -7.32 -2.78 -3.47 105.0 6.09 6.58 6.58 5.22 2.01 -6.03 -2.47 -2.20 120.0 5.35 6.14 5.87 4.77 1.46 -5.69 -3.42 -2.39 135.0 3.78 4.85 4.19 3.31 -0.16 -6.46 -6.21 -3.94 150.0 1.32 2.71 1.65 1.06 -2.46 -8.69 -9.84 -6.20 165.0 -3.35 -1.13 -3.01 -3.17 -6.33 -12.79 -15.29 -9.30 180.0 -12.19 -7.93 -10.54 -9.71 -12.21 -18.94 -19.07 -13.40 195.0 -6.23 -10.93 -8.07 -10.90 -12.04 -17.23 -14.40 -18.46 210.0 -0.37 -2.77 -1.96 -4.60 -6.08 -12.22 -10.31 -10.11 225.0 3.06 1.49 1.72 -0.74 -2.58 -8.49 -6.84 -4.95 240.0 4.99 3.79 3.76 1.41 -0.83 -6.11 -4.31 -2.02 255.0 6.08 5.23 4.98 2.77 0.04 -4.59 -3.35 -0.37 270.0 6.45 5.91 5.53 3.37 0.17 -4.07 -3.36 0.16 285.0 6.31 6.01 5.41 3.24 -0.27 -5.06 -4.40 -0.53 300.0 5.59 5.54 4.75 2.42 -1.16 -7.18 -6.24 -2.16 315.0 4.13 4.36 3.47 1.11 -2.82 -10.24 -8.83 -5.13 330.0 1.77 2.45 1.45 -0.87 -5.09 -13.07 -11.76 -8.36 345.0 -2.58 -1.04 -1.96 -4.05 -8.45 -16.13 -15.31 -13.04 360.0 -8.12 -7.11 -5.65 -9.16 -12.45 -18.36 -16.74 -16.33 RP_2400.000_ver
(continuation of the \"RP_2400.000_ver\" table from column 9 ...)
Azimuth Elevation Elevation Elevation Elevation Elevation (deg) 120 deg 135 deg 150 deg165 deg180 deg
(dB) (dB) (dB) (dB) (dB)
0.0 -16.68 -18.66 -15.62 -18.47 -14.33 15.0 -18.43 -13.01 -13.57 -17.55 -13.45 30.0 -12.45 -9.14 -11.66 -14.57 -12.50 45.0 -7.66 -6.88 -9.41 -12.38 -11.67 60.0 -4.66 -5.07 -7.91 -11.27 -10.97 75.0 -2.55 -3.89 -6.98 -10.86 -11.02 90.0 -1.74 -3.57 -6.97 -11.13 -11.19 105.0 -2.10 -3.65 -7.32 -11.54 -12.04 120.0 -3.59 -4.61 -7.91 -12.19 -12.51 135.0 -6.83 -6.47 -9.19 -12.56 -12.79 150.0 -10.76 -9.74 -10.65 -13.22 -13.33 165.0 -16.14 -14.17 -13.83 -14.65 -14.58 180.0 -18.12 -15.54 -17.77 -16.64 -15.59 195.0 -14.93 -11.07 -16.46 -19.08 -15.70 210.0 -11.81 -8.34 -11.36 -18.63 -14.41 225.0 -8.84 -6.50 -8.33 -15.71 -13.82 240.0 -7.16 -5.56 -6.62 -12.72 -12.83 255.0 -5.74 -5.02 -5.66 -11.02 -11.72 270.0 -5.57 -4.65 -5.23 -9.32 -12.14 285.0 -6.26 -4.96 -5.41 -8.66 -11.95 300.0 -7.39 -5.37 -5.98 -8.55 -12.82 315.0 -9.13 -6.55 -7.30 -9.61 -13.52 330.0 -10.93 -8.44 -9.59 -11.17 -14.27 345.0 -12.71 -12.27 -13.81 -14.17 -14.30 360.0 -15.31 -18.17 -16.05 -18.18 -13.93
SWRA350 Page 13 of 28
Application Note DN034
Theta = 90, Phi = 0
Theta = 90, Phi = 90
SWRA350 Page 14 of 28
Application Note DN034
Theta = 0, Phi = 0
Theta = 90, Phi = 180
SWRA350 Page 15 of 28
Application Note DN034
Theta = 90, Phi = 270
Theta = 180, Phi = 0
SWRA350 Page 16 of 28
8.2
Application Note DN034
OTA Test Results for Frequency 2440.000 MHz
RP_2440.000_tot
Azimuth (deg)
Elevation Elevation Elevation Elevation Elevation Elevation Elevation Elevation 0 deg 15 deg 30 deg 45 deg 60 deg 75 deg 90 deg 105 deg(dB) (dB) (dB) (dB) (dB) (dB) (dB) (dB)
0.00 6.39 5.83 3.83 -0.71 -8.58 -11.45 -11.01 -12.61 15.00 6.68 5.77 4.05 -0.76 -8.61 -11.69 -11.03 -11.96 30.00 6.98 5.81 4.54 -0.14 -6.86 -13.39 -12.53 -11.31 45.00 7.06 5.94 4.98 1.02 -5.03 -15.01 -13.12 -10.85 60.00 7.11 6.04 5.34 2.04 -3.41 -14.38 -10.81 -7.11 75.00 6.95 6.29 5.60 3.03 -2.34 -11.73 -7.52 -3.83 90.00 6.71 6.56 5.71 3.81 -1.36 -9.82 -5.22 -2.17 105.00 6.48 6.89 5.78 4.31 -0.98 -8.57 -4.64 -1.78 120.00 6.33 7.12 5.78 4.44 -1.02 -8.10 -5.25 -2.58 135.00 6.30 7.18 5.71 4.10 -1.59 -8.81 -6.84 -4.77 150.00 6.34 7.08 5.57 3.48 -2.65 -9.74 -8.57 -7.60 165.00 6.48 6.89 5.41 2.74 -3.66 -10.65 -9.81 -10.75 180.00 6.67 6.61 5.31 2.09 -4.27 -11.25 -10.37 -12.96 195.00 6.90 6.35 5.32 1.86 -3.98 -11.42 -10.07 -12.11 210.00 7.06 6.18 5.42 1.93 -3.40 -11.09 -8.65 -9.26 225.00 7.16 5.99 5.49 2.21 -2.21 -10.55 -6.32 -7.16 240.00 7.07 5.98 5.50 2.54 -1.28 -10.24 -4.17 -5.04 255.00 6.99 5.98 5.48 2.76 -0.87 -10.50 -2.88 -3.85 270.00 6.71 6.00 5.32 2.78 -1.04 -11.39 -2.71 -3.14 285.00 6.50 6.14 5.11 2.72 -1.63 -13.19 -3.47 -3.92 300.00 6.38 6.26 4.78 2.49 -2.78 -14.51 -5.17 -5.74 315.00 6.26 6.28 4.47 1.95 -4.32 -14.58 -7.46 -8.39 330.00 6.26 6.22 4.09 1.09 -5.78 -13.47 -9.22 -11.78 345.00 6.32 6.07 3.81 0.07 -7.26 -12.73 -10.43 -14.10 360.00 6.51 5.91 3.82 -0.46 -8.25 -12.10 -10.55 -14.03
(continuation of the \"RP_2440.000_tot\" table from column 9 ...)
Azimuth Elevation Elevation Elevation Elevation Elevation (deg) 120 deg 135 deg 150 deg165 deg180 deg
(dB) (dB) (dB) (dB) (dB)
0.00 -5.82 -8.97 -8.71 -6.14 -6.03 15.00 -6.02 -10.21 -8.44 -6.52 -6.03 30.00 -5.70 -10.35 -8.59 -7.78 -6.39 45.00 -4.43 -9.04 -8.85 -9.84 -6.97 60.00 -3.01 -7.85 -9.28 -12.50 -7.64 75.00 -2.02 -7.35 -9.84 -15.50 -8.84 90.00 -1.93 -7.15 -11.19 -15.89 -10.16 105.00 -2.30 -7.36 -12.32 -13.75 -10.29 120.00 -3.60 -7.60 -13.62 -11.87 -10.46 135.00 -5.78 -8.44 -13.49 -10.17 -9.30 150.00 -8.57 -9.68 -13.79 -9.40 -8.05 165.00 -10.35 -10.78 -13.79 -8.84 -7.18 180.00 -9.88 -9.61 -14.22 -8.68 -6.78 195.00 -7.89 -7.50 -16.28 -9.07 -6.68 210.00 -5.86 -5.74 -15.00 -9.76 -7.13 225.00 -4.17 -4.64 -11.93 -11.46 -8.00 240.00 -2.89 -4.47 -10.29 -13.16 -9.18 255.00 -2.07 -4.27 -9.81 -13.80 -10.62 270.00 -2.07 -4.40 -9.75 -13.45 -11.87 285.00 -2.36 -4.36 -10.58 -11.90 -12.64 300.00 -3.13 -4.40 -10.86 -10.61 -11.04 315.00 -3.90 -4.72 -11.95 -8.59 -9.23 330.00 -4.78 -5.36 -12.42 -7.31 -7.48 345.00 -5.45 -6.72 -10.69 -6.41 -6.78 360.00 -5.64 -8.02 -9.12 -6.22 -6.16
SWRA350 Page 17 of 28
Application Note DN034
Azimuth (deg)
Elevation Elevation Elevation Elevation Elevation Elevation Elevation Elevation 0 deg 15 deg 30 deg 45 deg 60 deg 75 deg 90 deg 105 deg(dB) (dB) (dB) (dB) (dB) (dB) (dB) (dB)
0.0 6.34 5.79 3.77 -0.79 -9.23 -13.82 -11.87 -14.00 15.0 6.29 5.59 3.72 -1.04 -9.87 -14.64 -12.05 -12.83 30.0 5.64 4.81 3.23 -1.81 -11.07 -17.55 -13.55 -12.47 45.0 4.29 3.27 2.04 -3.13 -12.31 -18.47 -14.63 -13.44 60.0 1.88 0.35 -0.32 -5.61 -14.00 -16.04 -14.55 -12.19 75.0 -2.22 -4.97 -4.48 -10.84 -16.92 -15.34 -14.98 -11.64 90.0 -12.39 -16.58 -15.52 -17.48 -16.79 -16.39 -16.55 -11.82 105.0 -7.76 -4.18 -7.38 -7.54 -12.13 -14.91 -16.70 -13.85 120.0 -0.77 0.98 -1.00 -2.81 -8.80 -13.01 -13.81 -16.55 135.0 2.85 3.78 2.24 -0.28 -6.86 -12.06 -12.19 -17.96 150.0 4.93 5.39 4.04 1.16 -5.88 -12.33 -11.00 -17.86 165.0 6.12 6.31 4.99 1.90 -5.11 -12.98 -11.06 -17.70 180.0 6.65 6.52 5.26 1.96 -4.82 -13.08 -11.36 -17.18 195.0 6.58 6.18 5.02 1.62 -4.72 -12.87 -10.90 -15.81 210.0 5.89 5.29 4.27 0.77 -5.48 -13.05 -10.31 -14.51 225.0 4.59 3.57 2.86 -0.69 -6.66 -13.28 -10.28 -14.88 240.0 2.24 0.87 0.48 -3.11 -8.09 -14.46 -10.28 -16.05 255.0 -1.63 -4.03 -3.55 -7.77 -10.89 -16.68 -11.33 -17.93 270.0 -10.06 -15.06 -12.49 -18.00 -15.40 -18.76 -11.97 -17.90 285.0 -10.04 -6.56 -10.23 -11.19 -21.05 -19.36 -11.75 -16.02 300.0 -1.47 -0.62 -3.32 -5.79 -16.16 -17.70 -11.23 -15.46 315.0 2.35 2.60 0.15 -3.15 -12.37 -16.74 -10.93 -16.46 330.0 4.57 4.34 2.08 -1.86 -10.36 -15.31 -10.97 -17.88 345.0 5.83 5.35 3.14 -1.18 -9.30 -14.35 -11.50 -17.79 360.0 6.42 5.79 3.67 -0.68 -9.17 -14.13 -11.43 -16.23 RP_2440.000_hor
(continuation of the \"RP_2440.000_hor\" table from column 9 ...)
Azimuth Elevation Elevation Elevation Elevation Elevation (deg) 120 deg 135 deg 150 deg165 deg180 deg
(dB) (dB) (dB) (dB) (dB)
0.0 -6.12 -9.62 -10.17 -6.55 -6.51 15.0 -6.79 -11.71 -9.49 -6.91 -6.61 30.0 -8.37 -13.89 -9.37 -8.19 -6.99 45.0 -9.35 -14.60 -9.71 -10.40 -8.06 60.0 -10.02 -14.70 -10.71 -13.63 -9.66 75.0 -11.15 -15.63 -11.95 -18.78 -12.26 90.0 -13.63 -17.55 -14.87 -20.19 -16.51 105.0 -18.32 -19.45 -17.89 -15.38 -17.56 120.0 -18.82 -18.61 -20.80 -12.70 -14.63 135.0 -14.90 -16.40 -19.19 -10.73 -11.21 150.0 -13.06 -14.60 -17.41 -9.92 -8.88 165.0 -11.90 -12.86 -16.74 -9.28 -7.62 180.0 -10.45 -10.27 -17.05 -9.11 -7.05 195.0 -10.14 -8.45 -19.47 -9.57 -6.97 210.0 -11.09 -7.75 -18.41 -10.63 -7.52 225.0 -13.51 -8.00 -15.83 -13.41 -8.54 240.0 -17.20 -10.01 -14.98 -16.77 -10.04 255.0 -19.01 -12.75 -16.20 -19.51 -12.54 270.0 -15.87 -14.77 -18.50 -16.22 -15.09 285.0 -12.75 -13.57 -20.58 -13.24 -17.23 300.0 -10.04 -10.96 -20.30 -11.22 -13.85 315.0 -8.23 -9.07 -19.86 -8.96 -10.70 330.0 -7.14 -8.13 -17.84 -7.71 -8.40 345.0 -6.50 -8.19 -13.60 -6.80 -7.50 360.0 -6.03 -8.86 -10.70 -6.62 -6.70
SWRA350 Page 18 of 28
Application Note DN034
Azimuth (deg)
Elevation Elevation Elevation Elevation Elevation Elevation Elevation Elevation 0 deg 15 deg 30 deg 45 deg 60 deg 75 deg 90 deg 105 deg(dB) (dB) (dB) (dB) (dB) (dB) (dB) (dB)
0.0 -12.92 -14.26 -14.64 -18.15 -17.19 -15.21 -18.44 -18.25 15.0 -4.01 -8.03 -7.24 -12.93 -14.62 -14.77 -17.80 -19.36 30.0 1.22 -1.06 -1.30 -5.09 -8.94 -15.49 -19.33 -17.60 45.0 3.80 2.56 1.91 -1.10 -5.93 -17.61 -18.45 -14.32 60.0 5.56 4.67 3.96 1.23 -3.81 -19.36 -13.21 -8.72 75.0 6.38 5.95 5.15 2.85 -2.50 -14.22 -8.37 -4.62 90.0 6.65 6.53 5.68 3.77 -1.49 -10.91 -5.56 -2.67 105.0 6.31 6.53 5.56 4.02 -1.32 -9.71 -4.92 -2.05 120.0 5.39 5.91 4.76 3.53 -1.82 -9.79 -5.90 -2.76 135.0 3.69 4.53 3.12 2.13 -3.13 -11.59 -8.34 -4.99 150.0 0.76 2.14 0.30 -0.35 -5.46 -13.21 -12.25 -8.03 165.0 -4.62 -2.12 -4.99 -4.77 -9.15 -14.48 -15.84 -11.73 180.0 -16.96 -10.38 -14.47 -13.19 -13.50 -15.89 -17.29 -15.02 195.0 -4.64 -7.85 -6.44 -10.87 -12.03 -16.89 -17.65 -14.51 210.0 0.79 -1.13 -0.90 -4.39 -7.59 -15.49 -13.63 -10.80 225.0 3.66 2.30 2.07 -0.91 -4.14 -13.87 -8.55 -7.97 240.0 5.34 4.38 3.86 1.17 -2.29 -12.31 -5.38 -5.40 255.0 6.34 5.52 4.90 2.36 -1.33 -11.70 -3.55 -4.03 270.0 6.62 5.97 5.25 2.74 -1.21 -12.27 -3.26 -3.29 285.0 6.40 5.90 4.98 2.54 -1.68 -14.39 -4.16 -4.20 300.0 5.60 5.26 4.05 1.80 -2.98 -17.34 -6.40 -6.23 315.0 4.00 3.86 2.47 0.34 -5.06 -18.66 -10.07 -9.13 330.0 1.33 1.67 -0.23 -1.98 -7.64 -18.09 -13.99 -13.01 345.0 -3.47 -2.09 -4.61 -5.96 -11.53 -17.81 -17.07 -16.53 360.0 -10.28 -9.90 -11.02 -13.53 -15.40 -16.39 -17.91 -18.03 RP_2440.000_ver
(continuation of the \"RP_2440.000_ver\" table from column 9 ...)
Azimuth Elevation Elevation Elevation Elevation Elevation (deg) 120 deg 135 deg 150 deg165 deg180 deg
(dB) (dB) (dB) (dB) (dB)
0.0 -17.57 -17.58 -14.16 -16.55 -15.83 15.0 -13.90 -15.56 -15.12 -17.18 -15.06 30.0 -9.08 -12.88 -16.44 -18.26 -15.34 45.0 -6.12 -10.45 -16.30 -19.07 -13.54 60.0 -3.97 -8.85 -14.79 -18.93 -11.93 75.0 -2.59 -8.04 -13.99 -18.25 -11.47 90.0 -2.23 -7.56 -13.62 -17.92 -11.31 105.0 -2.41 -7.64 -13.73 -18.79 -11.19 120.0 -3.73 -7.96 -14.55 -19.47 -12.56 135.0 -6.35 -9.20 -14.86 -19.33 -13.80 150.0 -10.48 -11.37 -16.27 -18.86 -15.69 165.0 -15.55 -14.99 -16.85 -18.99 -17.35 180.0 -18.97 -18.14 -17.42 -18.91 -19.00 195.0 -11.83 -14.58 -19.12 -18.72 -18.65 210.0 -7.41 -10.07 -17.65 -17.18 -17.77 225.0 -4.70 -7.33 -14.21 -15.88 -17.32 240.0 -3.06 -5.89 -12.09 -15.65 -16.61 255.0 -2.15 -4.94 -10.95 -15.16 -15.10 270.0 -2.25 -4.81 -10.37 -16.72 -14.67 285.0 -2.78 -4.91 -11.04 -17.64 -14.50 300.0 -4.11 -5.48 -11.38 -19.47 -14.27 315.0 -5.90 -6.71 -12.71 -19.47 -14.64 330.0 -8.56 -8.63 -13.89 -17.80 -14.67 345.0 -12.13 -12.15 -13.80 -17.12 -14.97 360.0 -16.30 -15.58 -14.28 -16.75 -15.46
SWRA350 Page 19 of 28
Application Note DN034
Theta = 90, Phi = 0
Theta = 90, Phi = 90
SWRA350 Page 20 of 28
Application Note DN034
Theta = 0, Phi = 0
Theta = 90, Phi = 180
SWRA350 Page 21 of 28
Application Note DN034
Theta = 90, Phi = 270
Theta = 180, Phi = 0
SWRA350 Page 22 of 28
8.3
Application Note DN034
OTA Test Results for Frequency 2480.000 MHz
RP_2480.000_tot
Azimuth (deg)
Elevation Elevation Elevation Elevation Elevation Elevation Elevation Elevation 0 deg 15 deg 30 deg 45 deg 60 deg 75 deg 90 deg 105 deg(dB) (dB) (dB) (dB) (dB) (dB) (dB) (dB)
0.00 6.55 5.40 2.56 -3.22 -10.28 -12.56 -15.74 -9.31 15.00 6.81 5.37 2.82 -2.94 -10.12 -13.37 -16.30 -9.22 30.00 7.02 5.44 3.28 -1.99 -8.67 -15.78 -13.80 -9.72 45.00 7.10 5.63 3.77 -0.95 -8.05 -16.81 -11.02 -8.67 60.00 7.11 5.81 4.16 -0.20 -7.76 -15.40 -7.27 -5.33 75.00 7.05 6.06 4.44 0.52 -7.55 -12.60 -4.44 -2.95 90.00 6.89 6.32 4.72 1.28 -7.18 -9.84 -2.64 -1.25 105.00 6.80 6.64 4.84 1.89 -6.34 -8.50 -2.34 -0.74 120.00 6.69 6.81 4.86 2.35 -5.38 -8.11 -3.31 -1.33 135.00 6.63 6.82 4.74 2.10 -5.17 -8.81 -5.64 -3.03 150.00 6.52 6.59 4.44 1.50 -5.31 -9.12 -8.97 -5.51 165.00 6.43 6.21 4.15 0.65 -6.05 -9.04 -12.73 -8.52 180.00 6.41 5.82 3.92 -0.29 -7.04 -8.75 -13.03 -12.69 195.00 6.57 5.62 3.94 -0.82 -7.52 -8.93 -10.29 -12.93 210.00 6.82 5.64 4.29 -0.40 -7.20 -9.42 -7.21 -7.83 225.00 7.01 5.81 4.68 0.47 -6.18 -9.80 -5.12 -4.47 240.00 7.13 6.12 4.96 1.41 -5.02 -9.52 -3.12 -2.40 255.00 7.08 6.31 5.08 2.12 -4.21 -9.20 -2.15 -1.36 270.00 6.88 6.50 4.99 2.42 -3.86 -8.77 -2.14 -1.06 285.00 6.68 6.52 4.70 2.17 -4.23 -8.72 -3.37 -1.65 300.00 6.48 6.50 4.28 1.53 -5.44 -9.76 -5.70 -2.90 315.00 6.34 6.33 3.70 0.58 -6.91 -11.68 -8.65 -4.49 330.00 6.32 6.05 3.00 -0.86 -7.99 -12.83 -11.44 -6.51 345.00 6.45 5.69 2.61 -2.24 -9.29 -12.44 -13.49 -8.08 360.00 6.64 5.57 2.60 -2.20 -9.86 -12.25 -14.87 -9.90
(continuation of the \"RP_2480.000_tot\" table from column 9 ...)
Azimuth Elevation Elevation Elevation Elevation Elevation (deg) 120 deg 135 deg 150 deg165 deg180 deg
(dB) (dB) (dB) (dB) (dB)
0.00 -9.79 -8.33 -5.96 -6.56 -8.38 15.00 -10.34 -8.70 -6.21 -6.94 -8.36 30.00 -10.67 -9.08 -6.92 -7.80 -8.73 45.00 -9.54 -9.01 -7.95 -8.79 -8.62 60.00 -8.20 -8.95 -9.08 -9.81 -8.12 75.00 -7.10 -8.80 -10.05 -10.21 -7.68 90.00 -6.37 -9.00 -10.89 -10.18 -7.33 105.00 -6.40 -9.55 -11.64 -9.92 -7.00 120.00 -7.72 -10.44 -11.12 -9.71 -7.11 135.00 -9.73 -12.80 -11.09 -9.27 -6.96 150.00 -11.94 -13.89 -10.49 -8.77 -7.00 165.00 -12.77 -13.27 -10.23 -8.47 -7.16 180.00 -11.37 -13.41 -8.50 -8.61 -7.45 195.00 -9.30 -14.34 -7.45 -8.30 -7.84 210.00 -6.92 -15.00 -6.83 -7.85 -8.18 225.00 -5.27 -14.21 -6.69 -7.71 -8.36 240.00 -3.65 -14.06 -6.72 -7.92 -8.76 255.00 -2.71 -13.53 -7.43 -8.05 -8.71 270.00 -2.67 -13.71 -8.11 -8.22 -8.66 285.00 -3.18 -14.20 -9.15 -7.70 -8.22 300.00 -4.16 -14.06 -9.38 -7.39 -7.90 315.00 -5.54 -13.46 -8.25 -6.65 -7.62 330.00 -7.21 -11.08 -6.87 -6.19 -7.70 345.00 -8.53 -9.44 -6.14 -6.18 -7.90 360.00 -9.30 -9.03 -5.96 -5.89 -8.08
SWRA350 Page 23 of 28
Application Note DN034
Azimuth (deg)
Elevation Elevation Elevation Elevation Elevation Elevation Elevation Elevation 0 deg 15 deg 30 deg 45 deg 60 deg 75 deg 90 deg 105 deg(dB) (dB) (dB) (dB) (dB) (dB) (dB) (dB)
0.0 6.53 5.38 2.53 -3.41 -11.06 -16.81 -20.36 -10.90 15.0 6.43 5.12 2.42 -3.47 -11.08 -18.35 -20.61 -9.91 30.0 5.69 4.15 1.78 -3.85 -10.93 -20.07 -20.29 -11.02 45.0 4.28 2.64 0.65 -4.53 -11.00 -21.34 -19.74 -12.38 60.0 1.76 -0.42 -1.67 -6.43 -12.21 -18.95 -17.62 -12.15 75.0 -2.39 -5.67 -5.63 -10.13 -14.39 -18.32 -16.31 -12.24 90.0 -13.03 -18.94 -15.91 -19.08 -19.14 -16.11 -15.51 -13.05 105.0 -8.28 -5.14 -9.54 -11.05 -15.98 -13.23 -14.69 -14.20 120.0 -0.74 0.16 -2.82 -5.22 -11.01 -10.98 -13.55 -17.20 135.0 2.70 2.96 0.43 -2.79 -8.86 -10.08 -12.89 -18.13 150.0 4.80 4.65 2.38 -1.48 -7.84 -10.14 -12.96 -17.67 165.0 5.88 5.48 3.40 -0.92 -7.53 -10.05 -14.73 -17.53 180.0 6.39 5.73 3.83 -0.73 -8.01 -10.10 -15.22 -16.51 195.0 6.31 5.44 3.67 -1.02 -8.52 -10.09 -15.00 -17.57 210.0 5.62 4.49 3.00 -1.84 -9.17 -10.96 -13.38 -19.15 225.0 4.29 2.89 1.74 -3.16 -10.17 -12.04 -13.11 -18.60 240.0 1.85 0.00 -0.61 -5.49 -12.14 -13.13 -13.67 -17.19 255.0 -2.18 -4.89 -4.52 -9.28 -14.67 -14.65 -15.49 -16.52 270.0 -11.65 -18.76 -13.33 -18.23 -17.71 -16.98 -16.35 -16.32 285.0 -9.39 -6.40 -12.04 -14.48 -21.11 -16.81 -15.02 -16.43 300.0 -1.13 -0.63 -4.39 -8.77 -20.22 -16.47 -14.28 -16.14 315.0 2.49 2.33 -1.04 -5.94 -16.15 -16.02 -14.70 -15.30 330.0 4.80 4.17 0.92 -4.45 -13.30 -15.93 -16.51 -13.98 345.0 6.04 5.01 1.98 -3.77 -11.98 -15.84 -18.45 -12.71 360.0 6.60 5.50 2.50 -2.48 -11.16 -16.66 -20.48 -12.37 RP_2480.000_hor
(continuation of the \"RP_2480.000_hor\" table from column 9 ...)
Azimuth Elevation Elevation Elevation Elevation Elevation (deg) 120 deg 135 deg 150 deg165 deg180 deg
(dB) (dB) (dB) (dB) (dB)
0.0 -10.72 -8.78 -6.52 -6.82 -9.20 15.0 -11.50 -9.27 -6.85 -7.29 -9.09 30.0 -13.71 -10.04 -7.96 -8.58 -9.86 45.0 -14.18 -10.65 -9.34 -10.69 -10.97 60.0 -13.95 -11.28 -11.37 -13.88 -12.72 75.0 -13.86 -12.79 -13.62 -19.17 -15.61 90.0 -15.22 -15.29 -16.26 -19.82 -18.47 105.0 -16.80 -17.71 -17.62 -15.06 -18.84 120.0 -17.77 -17.33 -15.24 -12.42 -15.16 135.0 -17.09 -16.59 -14.10 -10.73 -11.76 150.0 -16.02 -15.83 -11.85 -9.81 -10.03 165.0 -14.61 -14.77 -10.85 -9.19 -8.64 180.0 -12.20 -15.65 -9.14 -9.10 -8.16 195.0 -10.32 -18.67 -8.83 -8.80 -8.22 210.0 -9.48 -21.10 -9.35 -8.81 -8.99 225.0 -10.20 -17.92 -11.13 -9.65 -10.20 240.0 -11.90 -16.42 -13.67 -11.42 -12.61 255.0 -14.34 -15.96 -16.53 -14.20 -15.64 270.0 -17.99 -16.06 -18.60 -18.03 -19.85 285.0 -15.83 -17.03 -17.18 -17.46 -18.08 300.0 -12.94 -16.42 -13.46 -12.87 -14.54 315.0 -11.55 -15.28 -10.42 -9.64 -12.00 330.0 -10.87 -12.39 -7.92 -7.81 -10.42 345.0 -10.43 -10.24 -6.76 -6.93 -9.51 360.0 -10.43 -9.55 -6.43 -6.21 -9.17
SWRA350 Page 24 of 28
Application Note DN034
Azimuth (deg)
Elevation Elevation Elevation Elevation Elevation Elevation Elevation Elevation 0 deg 15 deg 30 deg 45 deg 60 deg 75 deg 90 deg 105 deg(dB) (dB) (dB) (dB) (dB) (dB) (dB) (dB)
0.0 -17.73 -17.86 -18.74 -16.76 -18.13 -14.60 -17.58 -14.46 15.0 -3.94 -7.09 -7.72 -12.39 -17.13 -15.03 -18.31 -17.52 30.0 1.23 -0.48 -2.07 -6.57 -12.58 -17.81 -14.90 -15.59 45.0 3.89 2.60 0.86 -3.45 -11.12 -18.70 -11.65 -11.08 60.0 5.61 4.63 2.84 -1.38 -9.68 -17.92 -7.69 -6.34 75.0 6.52 5.75 3.99 0.13 -8.56 -13.96 -4.74 -3.49 90.0 6.85 6.30 4.68 1.24 -7.46 -11.01 -2.87 -1.54 105.0 6.67 6.34 4.68 1.67 -6.84 -10.28 -2.60 -0.94 120.0 5.83 5.75 4.04 1.51 -6.77 -11.27 -3.74 -1.45 135.0 4.37 4.52 2.73 0.39 -7.59 -14.77 -6.54 -3.17 150.0 1.67 2.15 0.22 -1.55 -8.86 -15.94 -11.18 -5.78 165.0 -2.83 -1.89 -3.89 -4.55 -11.44 -15.87 -17.05 -9.10 180.0 -15.73 -11.27 -13.35 -10.46 -14.01 -14.48 -17.03 -15.01 195.0 -5.93 -8.19 -8.26 -14.28 -14.37 -15.21 -12.07 -14.77 210.0 0.67 -0.67 -1.61 -5.87 -11.59 -14.67 -8.41 -8.16 225.0 3.69 2.70 1.59 -1.99 -8.40 -13.75 -5.87 -4.64 240.0 5.61 4.90 3.55 0.42 -5.95 -11.99 -3.52 -2.54 255.0 6.53 5.96 4.57 1.79 -4.62 -10.65 -2.36 -1.50 270.0 6.82 6.49 4.93 2.39 -4.04 -9.48 -2.31 -1.19 285.0 6.57 6.30 4.61 2.08 -4.32 -9.45 -3.68 -1.80 300.0 5.65 5.57 3.65 1.11 -5.58 -10.81 -6.35 -3.11 315.0 4.03 4.12 1.92 -0.52 -7.46 -13.67 -9.88 -4.87 330.0 1.03 1.50 -1.20 -3.35 -9.51 -15.76 -13.05 -7.36 345.0 -4.06 -2.69 -6.07 -7.53 -12.66 -15.09 -15.16 -9.91 360.0 -13.84 -13.01 -13.56 -14.36 -15.71 -14.20 -16.26 -13.54 RP_2480.000_ver
(continuation of the \"RP_2480.000_ver\" table from column 9 ...)
Azimuth Elevation Elevation Elevation Elevation Elevation (deg) 120 deg 135 deg 150 deg165 deg180 deg
(dB) (dB) (dB) (dB) (dB)
0.0 -16.91 -18.39 -15.17 -18.87 -16.06 15.0 -16.63 -17.78 -14.85 -18.14 -16.47 30.0 -13.66 -16.07 -13.65 -15.65 -15.13 45.0 -11.37 -14.04 -13.55 -13.30 -12.41 60.0 -9.55 -12.76 -12.96 -11.97 -9.97 75.0 -8.12 -11.00 -12.56 -10.80 -8.44 90.0 -6.98 -10.16 -12.38 -10.68 -7.68 105.0 -6.82 -10.27 -12.91 -11.51 -7.29 120.0 -8.17 -11.44 -13.24 -13.04 -7.84 135.0 -10.61 -15.15 -14.11 -14.71 -8.70 150.0 -14.09 -18.32 -16.20 -15.47 -9.99 165.0 -17.41 -18.62 -18.98 -16.61 -12.56 180.0 -18.98 -17.36 -17.12 -18.31 -15.67 195.0 -16.10 -16.34 -13.11 -18.01 -18.61 210.0 -10.43 -16.22 -10.39 -14.92 -15.88 225.0 -6.95 -16.61 -8.62 -12.15 -12.97 240.0 -4.35 -17.83 -7.69 -10.49 -11.06 255.0 -3.02 -17.21 -8.00 -9.26 -9.69 270.0 -2.80 -17.50 -8.52 -8.70 -9.01 285.0 -3.43 -17.39 -9.90 -8.19 -8.70 300.0 -4.77 -17.83 -11.54 -8.83 -8.97 315.0 -6.80 -18.12 -12.31 -9.68 -9.59 330.0 -9.66 -16.90 -13.57 -11.25 -11.01 345.0 -13.03 -17.22 -14.96 -14.16 -12.97 360.0 -15.69 -18.51 -15.81 -17.38 -14.62
SWRA350 Page 25 of 28
Application Note DN034
Theta = 90, Phi = 0
Theta = 90, Phi = 90
SWRA350 Page 26 of 28
Application Note DN034
Theta = 0, Phi = 0
Theta = 90, Phi = 180
SWRA350 Page 27 of 28
Application Note DN034
Theta = 90, Phi = 270
Theta = 180, Phi = 0
SWRA350 Page 28 of 28
IMPORTANTNOTICE
TexasInstrumentsIncorporatedanditssubsidiaries(TI)reservetherighttomakecorrections,modifications,enhancements,improvements,andotherchangestoitsproductsandservicesatanytimeandtodiscontinueanyproductorservicewithoutnotice.Customersshouldobtainthelatestrelevantinformationbeforeplacingordersandshouldverifythatsuchinformationiscurrentandcomplete.AllproductsaresoldsubjecttoTI’stermsandconditionsofsalesuppliedatthetimeoforderacknowledgment.
TIwarrantsperformanceofitshardwareproductstothespecificationsapplicableatthetimeofsaleinaccordancewithTI’sstandardwarranty.TestingandotherqualitycontroltechniquesareusedtotheextentTIdeemsnecessarytosupportthiswarranty.Exceptwheremandatedbygovernmentrequirements,testingofallparametersofeachproductisnotnecessarilyperformed.
TIassumesnoliabilityforapplicationsassistanceorcustomerproductdesign.Customersareresponsiblefortheirproductsand
applicationsusingTIcomponents.Tominimizetherisksassociatedwithcustomerproductsandapplications,customersshouldprovideadequatedesignandoperatingsafeguards.
TIdoesnotwarrantorrepresentthatanylicense,eitherexpressorimplied,isgrantedunderanyTIpatentright,copyright,maskworkright,orotherTIintellectualpropertyrightrelatingtoanycombination,machine,orprocessinwhichTIproductsorservicesareused.InformationpublishedbyTIregardingthird-partyproductsorservicesdoesnotconstitutealicensefromTItousesuchproductsorservicesorawarrantyorendorsementthereof.Useofsuchinformationmayrequirealicensefromathirdpartyunderthepatentsorotherintellectualpropertyofthethirdparty,oralicensefromTIunderthepatentsorotherintellectualpropertyofTI.
ReproductionofTIinformationinTIdatabooksordatasheetsispermissibleonlyifreproductioniswithoutalterationandisaccompaniedbyallassociatedwarranties,conditions,limitations,andnotices.Reproductionofthisinformationwithalterationisanunfairanddeceptivebusinesspractice.TIisnotresponsibleorliableforsuchaltereddocumentation.Informationofthirdpartiesmaybesubjecttoadditionalrestrictions.
ResaleofTIproductsorserviceswithstatementsdifferentfromorbeyondtheparametersstatedbyTIforthatproductorservicevoidsallexpressandanyimpliedwarrantiesfortheassociatedTIproductorserviceandisanunfairanddeceptivebusinesspractice.TIisnotresponsibleorliableforanysuchstatements.
TIproductsarenotauthorizedforuseinsafety-criticalapplications(suchaslifesupport)whereafailureoftheTIproductwouldreasonablybeexpectedtocauseseverepersonalinjuryordeath,unlessofficersofthepartieshaveexecutedanagreementspecificallygoverningsuchuse.Buyersrepresentthattheyhaveallnecessaryexpertiseinthesafetyandregulatoryramificationsoftheirapplications,and
acknowledgeandagreethattheyaresolelyresponsibleforalllegal,regulatoryandsafety-relatedrequirementsconcerningtheirproductsandanyuseofTIproductsinsuchsafety-criticalapplications,notwithstandinganyapplications-relatedinformationorsupportthatmaybeprovidedbyTI.Further,BuyersmustfullyindemnifyTIanditsrepresentativesagainstanydamagesarisingoutoftheuseofTIproductsinsuchsafety-criticalapplications.
TIproductsareneitherdesignednorintendedforuseinmilitary/aerospaceapplicationsorenvironmentsunlesstheTIproductsarespecificallydesignatedbyTIasmilitary-gradeor\"enhancedplastic.\"OnlyproductsdesignatedbyTIasmilitary-grademeetmilitary
specifications.BuyersacknowledgeandagreethatanysuchuseofTIproductswhichTIhasnotdesignatedasmilitary-gradeissolelyattheBuyer'srisk,andthattheyaresolelyresponsibleforcompliancewithalllegalandregulatoryrequirementsinconnectionwithsuchuse.TIproductsareneitherdesignednorintendedforuseinautomotiveapplicationsorenvironmentsunlessthespecificTIproductsaredesignatedbyTIascompliantwithISO/TS16949requirements.Buyersacknowledgeandagreethat,iftheyuseanynon-designatedproductsinautomotiveapplications,TIwillnotberesponsibleforanyfailuretomeetsuchrequirements.
FollowingareURLswhereyoucanobtaininformationonotherTexasInstrumentsproductsandapplicationsolutions:ProductsAmplifiersDataConvertersDLP®ProductsDSP
ClocksandTimersInterfaceLogicPowerMgmtMicrocontrollersRFID
amplifier.ti.comdataconverter.ti.comwww.dlp.comdsp.ti.comwww.ti.com/clocksinterface.ti.comlogic.ti.compower.ti.commicrocontroller.ti.comwww.ti-rfid.com
ApplicationsAudioAutomotive
CommunicationsandTelecomComputersandPeripherals
ConsumerElectronicsEnergyIndustrialMedicalSecurity
Space,Avionics&Defense
VideoandImagingWireless
www.ti.com/audiowww.ti.com/automotivewww.ti.com/communicationswww.ti.com/computerswww.ti.com/consumer-appswww.ti.com/energywww.ti.com/industrialwww.ti.com/medicalwww.ti.com/security
www.ti.com/space-avionics-defensewww.ti.com/videowww.ti.com/wireless-apps
RF/IFandZigBee®Solutionswww.ti.com/lprf
MailingAddress:TexasInstruments,PostOfficeBox655303,Dallas,Texas75265
Copyright©2010,TexasInstrumentsIncorporated
因篇幅问题不能全部显示,请点此查看更多更全内容