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Application Note

microSplatch™ uSP410 Series Plane Optimization

The Linx Technologies microSplatch™ uSP410 series embedded 1/4-wave monopole antennas require a ground plane on the (PCB) to which they are mounted. Linx recommends a 38 mm x 84 mm or larger ground plane, but other size ground planes may be used with proper design considerations as described in this application note. Please refer to the uSP410 series datasheets for other design requirements for the uSP410 series or contact Linx for a complimentary design review to help optimize solution performance. Application Overview This application note presents simulated performance results for the 433 MHz, 868 MHz and 915 MHz uSP410 antennas on ground plane sizes ranging in length from 40 mm to 120 mm as well as test data from the 84 mm x 38 mm evaluation board. Table 1. Simulated Performance on Various Ground Plane Sizes

ANT-433-uSP410 ANT-868-uSP410 ANT-915-uSP410 Ground Plane Length VSWR Peak Gain Efficiency VSWR Peak Gain Efficiency VSWR Peak Gain Efficiency 120 mm 2.1 -5.9 6 1.7 3.8 36 1.7 4.1 47 100 mm 1.9 -6.7 5 2.0 1.8 24 1.8 1.9 32 84 mm* 2.2 -8.0 5 2.1 0.7 20 2.7 0.9 27 80 mm 1.7 -8.9 4 2.1 -0.7 16 3.0 -0.3 21 60 mm 1.5 -10.5 4 2.2 -2.8 11 3.0 -2.7 13 40 mm 1.7 -12.3 3 2.2 -5.5 8 4.2 -5.0 10 *Actual test data on linx evaluation board Ground Plane Requirements Reducing the ground plane size narrows the bandwidth of the at lower frequencies. This is most noticeable in the VSWR performance. The use of matching networks allows VSWR to be optimized for the ground plane conditions but cannot completely account for a ground plane that is too small for target frequencies. In theory, the minimum ground plane size for any 1/4-wave is determined by its guided 1/4 , λg/4. This guided wavelength will be based on the 1/4 wavelength of the lowest frequency supported by the antenna, but will be restricted – lengthened – by the material through which the antenna signal propagates. For the uSP410 series, the guided wavelength is defined by the FR4 material from which the antenna is constructed and should be greater than or equal to 84 mm. In practice it is also important to provide some margin greater than the guided wavelength for the ground plane size to account for electromagnetic fringing effects at the PCB edges. There is no limitation on how large a ground plane may be in support of a monopole antenna and a larger ground plane will improve antenna performance. microSplatch™ uSP410 Series Ground Plane Optimization Application Note Comparing Antenna Performance When comparing performance of the uSP410 series against other antennas or across varying lengths of ground plane it is important to review more than just VSWR (See the uSP410 series datasheets and definitions provided at the end of this application note). The peak gain and efficiency of the antenna also reflect the performance that can be expected in an end-solution. In addition to simply reviewing charts of VSWR, gain and efficiency, it may also be valuable to calculate the total radiated efficiency (TRE) of the antenna at important frequencies. By reviewing individual parameters and TRE, a more complete comparison of likely performance can be achieved. The uSP410 series Antenna Evaluation Kit shown in Figure 1 displays the ground plane size for the evaluation board as well as ground plane sizes for 40 mm, 60 mm, 80 mm, 100 mm and 120 mm lengths addressed in this application note. The 38 mm dimension represents the width of the groundGround plane. plane The on bottom uSP410 layer series for counterpoise antennas require that no ground plane or traces be located under the antenna area so additional space is required on the PCB for the antenna.

38.0 mm (1.50 in)

84.0 mm (3.31 in) mm (1.57 in)

40.0

60.0 mm (2.36 in)

80.0 mm (3.15 in)

100.0 mm (3.94 in)

120.0 mm (4.72 in)

Figure 1. uSP410 Series Evaluation PCB with Various Ground Plane Sizes

2 microSplatch™ uSP410 Series Application Note Ground Plane Optimization ANT-433-uSP410 433 MHz microSplatch antenna simulated data is shown in Figure 2 through Figure 4 including actual test data using the Linx uSP410 evaluation board (38 mm x 84 mm) as a reference. The charts on the following pages display typical behavior of the 433-uSP410 antenna when used on a PCB that has a ground plane area greater, or smaller than the 38 mm x 84 mm recommended size. PCB’s with ground plane areas smaller than the recommended ground plane size indicate a shift towards higher frequencies, and experience a wider bandwidth resulting in higher VSWR and lower gain and efficiency, while a larger ground plane shifts downward in frequency and the bandwidth narrows, improving gain and efficiency.

Ground Plane Length VSWR Peak Gain (dBi) Efficiency (dBi) (ANT-433-uSP410) 120 mm x 38 mm 2.1 -5.9 6 100 mm x 38 mm 1.9 -6.7 5 84 mm x 38 mm* 2.2 -8.0 5 80 mm x 38 mm 1.7 -8.9 4 60 mm x 38 mm 1.5 -10.5 4 40 mm x 38 mm 1.7 -12.3 3 * actual test data using Linx uSP410 evaluation board 430 435 5 120 mm 100 mm 40 84 mm 4 80 mm 60 mm 30 40 mm 3

VSWR 20 Reflected Power (%) Power Reflected 2 10

1 0 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 Frequency (MHz) Figure 2. ANT-433-uSP410 VSWR

3 microSplatch™ uSP410 Series Ground Plane Optimization Application Note ANT-433-uSP410 430 435 5 120 mm 100 mm 0 84 mm 80 mm 60 mm -5 40 mm

-10 Peak Gain (dBi) Gain Peak

-15

-20 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 Frequency (MHz) Figure 3. ANT-433-uSP410 Peak Gain 430 435 10 120 mm 100 mm 8 84 mm 80 mm 60 mm 6 40 mm

4 Efficiency (%) Efficiency

2

0 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 Frequency (MHz) Figure 4. ANT-433-uSP410 Radiation Efficiency

4 microSplatch™ uSP410 Series Application Note Ground Plane Optimization ANT-868-uSP410 868 MHz microSplatch antenna simulated data is shown in Figure 5 through Figure 7 including actual test data using the Linx uSP410 evaluation board (38 mm x 84 mm) as a reference. The charts on the following pages display typical behavior of the 868-uSP410 antenna when used on a PCB that has a ground plane area greater, or smaller than the 38 mm x 84 mm recommended size. PCB’s with ground plane areas smaller than the recommended ground plane size indicate a shift towards higher frequencies, and experience a wider bandwidth resulting in higher VSWR and lower gain and efficiency, while a larger ground plane shifts downward in frequency and the bandwidth narrows, improving gain and efficiency.

Ground Plane Length VSWR Peak Gain (dBi) Efficiency (dBi) (ANT-868-uSP410) 120 mm x 38 mm 1.7 3.8 36 100 mm x 38 mm 1.9 1.8 24 84 mm x 38 mm* 2.1 0.7 20 80 mm x 38 mm 2.3 -0.7 16 60 mm x 38 mm 2.6 -2.8 11 40 mm x 38 mm 2.7 -5.5 8 * actual test data using Linx uSP410 evaluation board 862 876 5 120 mm 40 100 mm 84 mm 4 80 mm 60 mm 30 40 mm 3

VSWR 20 Reflected Power (%) Power Reflected 2 10

1 0 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 Frequency (MHz) Figure 5. ANT-868-uSP410 VSWR

5 microSplatch™ uSP410 Series Ground Plane Optimization Application Note ANT-868-uSP410 862 876 5

0

-5

-10 120 mm

Peak Gain (dBi) Gain Peak 100 mm 84 mm -15 80 mm 60 mm 40 mm -20 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 Frequency (MHz) Figure 6. ANT-868-uSP410 Peak Gain 862 876 100 90 120 mm 100 mm 80 84 mm 80 mm 70 60 mm 60 40 mm 50 40 Efficiency (%) Efficiency 30 20 10 0 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 Frequency (MHz) Figure 7. ANT-868-uSP410 Radiation Efficiency

6 microSplatch™ uSP410 Series Application Note Ground Plane Optimization ANT-915-uSP410 915 MHz microSplatch antenna simulated data is shown in Figure 8 through Figure 10 including actual test data using the Linx uSP410 evaluation board (38 mm x 84 mm) as a reference. The charts on the following pages display typical behavior of the 915-uSP410 antenna when used on a PCB that has a ground plane area greater, or smaller than the 38 mm x 84 mm recommended size. PCB’s with ground plane areas smaller than the recommended ground plane size indicate a shift towards higher frequencies, and experience a wider bandwidth resulting in higher VSWR and lower gain and efficiency, while a larger ground plane shifts downward in frequency and the bandwidth narrows, improving gain and efficiency.

Ground Plane Length VSWR Peak Gain (dBi) Efficiency (dBi) (ANT-915-uSP410) 120 mm x 38 mm 1.7 4.1 47 100 mm x 38 mm 1.8 1.9 32 84 mm x 38 mm* 2.7 0.9 27 80 mm x 38 mm 3.0 -0.3 21 60 mm x 38 mm 3.0 -2.7 13 40 mm x 38 mm 4.2 -5.0 10 * actual test data using Linx uSP410 evaluation board 902 928 5 120 mm 100 mm 40 84 mm 4 80 mm 60 mm 30 40 mm 3

VSWR 20 Reflected Power (%) Power Reflected 2 10

1 0 900 905 910 915 920 925 930 Frequency (MHz) Figure 8. ANT-915-uSP410 VSWR

7 microSplatch™ uSP410 Series Ground Plane Optimization Application Note ANT-915-uSP410 902 928 5

0

-5

-10 120 mm

Peak Gain (dBi) Gain Peak 100 mm 84 mm -15 80 mm 60 mm 40 mm -20 900 905 910 915 920 925 930 Frequency (MHz) Figure 9. ANT-915-uSP410 Peak Gain 902 928 100 90 120 mm 100 mm 80 84 mm 80 mm 70 60 mm 60 40 mm 50 40 Efficiency (%) Efficiency 30 20 10 0 900 905 910 915 920 925 930 Frequency (MHz) Figure 10. ANT-915-uSP410 Radiation Efficiency

8 microSplatch™ uSP410 Series Application Note Return Loss Ground Plane Optimization 10 20 + 1 VSWR = Antenna Definitions and Useful FormulasReturn Loss 10 20 1 VSWR - Voltage Standing Wave Ratio. VSWR is a unitless ratio that describes the power reflected from the antenna back to the . A lower VSWR value indicates better antenna− performance at a given frequency. VSWR is easily derived from Return Loss. VSWR 1 Return Loss = 20Re logturn1 0Loss 10 20 VSWR+ 1+ 1 VSWR = Return Loss − −10 Retur2n0 Loss + 1 VSWR = 10 20 1 Return Loss Return Loss - Return loss represents the loss in power10 at 2the0 antenna1 due to reflected signals, measured in Gdb = 10 log10(G) decibels. A lower return loss value indicates better antenna performance− at a given frequency. Return Loss is easily derived from VSWR. GdBd = GdBi 2.51dBVSWR− 1 Return Loss = 20 log 10 VSWR + 1 Return Loss = 20 log − 10 VSWR −+ 1 − Return Loss − Efficiency ( ) - The total power radiated from an antenna10 divided20 2 by+ 1the input power at the feed point of the η VS−WR 1 antenna as a percentage. VSWR = GdbV=SW10RRe log+tur1n10L(ossG) 10 20 1 Total Radiated Efficiency - (TRE) The total efficiencyGdb = 10 of log− an1 0antenna(G) solution comprising the radiation efficiency of the antenna and the transmittedGdB (forward)d = GdB i efficiency2.51dB from the . − GdBd = GdBi 2.51dB 2 V−SWRVSWR1 1 ReturnTRE L=oss •= 1 20Re tlogurn Loss 10 V−S20W10R ++1 1 VSWR 1 2 VSWR + 1 VSWR = − − Gain - The ratio of an antenna’s efficiency in aη given −directionReturn L2oss (G) to the power produced by a theoretical VS10−WR + 210 1 lossless (100% efficient) isotropic antenna. The gain of −an antenna is almost always expressed in decibels. VSWR + 1 Gdb = 10/ log4− 10(G) −

VSWRVSWR1 2 1 Return LGodsBsd == G20dBi log2.51dB TRE = • 1 VS1W0 R 1 2 Peak Gain - The highest across all directionsVS forW RaV +givenSWR1 frequency+ 1 range. A directional antenna TRE = • 1 − − will have a very high peak gain compared to average − gain.−V SWR + 1 η − − 2 Average Gain - The average gain across all directionsη VSW−R for a1 given frequency range. Gdb = 10 log10(G ) Maximum Power - The maximum signal power whichVSW R may/+4 1 be applied to an point, typically measured in watts (W). /−4 GdBd = GdBi 2.51dB Reflected Power - A portion of the forward power reflected back toward the amplifier due to a mismatch at the antenna port. −VSWR 1 2 TRE = • 1 VSWR V1SW2R + 1 − η VSW−R + 1 − decibel (dB) - A logarithmic unit of measure of the power of an electrical signal. /4 decibel isotropic (dBi) - A comparative measure in decibels between an antenna under test and an isotropic 2 radiator. VSWR 1 TRE = • 1 decibel relative to a dipole (dBd) - A comparative measureVS Win Rdecibels+ 1 between an antenna under test and an ideal half-wave dipole. − η − Dipole - An ideal dipole comprises a straight electrical conductor measuring 1/2 wavelength from end to end connected at the center to a feed point for the radio. /4 Isotropic Radiator - A theoretical antenna which radiates energy equally in all directions as a perfect sphere. Omnidirectional - Term describing an antenna that is uniform in all directions. An isotropic antenna is the theoretical perfect omnidirectional antenna. An ideal has a donut- shaped radiation pattern and other practical antenna implementations will have less perfect but generally omnidirectional radiation patterns which are typically plotted on three axes.

9 microSplatch™ uSP410 Series Ground Plane Optimization Application Note

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