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This chapter describes the PCB helix antenna impedance measurement and matching procedure. A detailed description of this type of antenna with 3D radiation diagrams are in the Design Note DN038.
For antenna impedance measurement users can install SMD jumper (Figure 5-1). This will connect the cable to the antenna including matching network traces.
Figure 5-2 shows the measured results of unmatched helix antenna. The impedance at 868 MHz is 15.0 – j13.8 Ohm (marker 1). SWR at this frequency is 3.60:1. The antenna must be matched to get better SWR value. At 3.60:1, the device will lose about 30% power.
Using Figure 4-4, users can determine that to move marker 1 to the center of the chart, 4-4C or 4-4D can be chosen.
Components values can be known by using an online Smith chart calculator. There are many types on the Internet with different functions and options. Users can choose any or multiple to compare results. Links to a few of the online Smith calculators are shown below.
Links to online Smith calculators:
Calculated ideal values (Figure 5-3).
To better understand what type of the network is more useful, users can change component values to see how they will move the impedance on the chart (if the calculator supports this feature). Sometimes, the network can be sensitive to components values, so users may see that tolerances can move the impedance far and detune the antenna. Also note, most of the calculators use ideal components values, so a final value’s tuning should be made.
Figure 5-3 shows passive component arcs with different colors. Colors represent what way the impedance transforms. Ideally, a value of 4.7 nH should move marker 1 to upper side of Volpert-Smith chart. In reality it does, but due to component tolerance and parasitic (including PCB) the final point will be different. You can connect VNA and look where the marker is and adjust the value if needed.
If users install two matching components simultaneously on board users will spend more time figuring out which of them and what value should change to get desired impedance and SWR level. Figure 5-4 shows what way marker 1 moved if the only 5.1 nH inductor installed (for network 4-4C).
Leave 5.1 nH value and add a shunt capacitor of 5.1 pF (0.3 pF less than ideal calculated value). Measured impedance is shown on (Figure 5-5).
The line crossed and the value of 5.1 pF should be decreased, but not much. Install 4.7 pF and measure the impedance (Figure 5-6).
Marker moves closer to 50 Ohm point with SWR improvement, and users can try to install 4.2 pF capacitor and measure the result (Figure 5-7).
It’s just 0.5 pF capacitance changing (from 4.7 pF down to 4.2 pF), but marker moves too fast. Now users can try to move the marker a little bit left to get closer to 50 Ohm point by decreasing of inductance from 5.1 nH down to 4.7 nH (Figure 5-8).
Marker is moving around 50 Ohm point due to steps of standard components values. In this particular case the network configuration 4-4C is sensitive to components values. That means in real applications with mass production and components tolerances the impedance will change a lot with corresponded SWR value. It also shown on Figure 5-3. For the network 4-4C the smaller components values move the marker faster, than network’s 4-4D higher values.
Users can also try the network 4-4D. Just not to overload the document by the figures, the same steps were made as for 4-4C above:
A final matched result with 8.2 pF and 6.2 nH is shown on Figure 5-9 with SWR value of 1:1.07.
Both networks can be tuned further to get better match. Users must decide what values of impedance and SWR are optimum.