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[TowerTalk] Tracking Arrival Angle

To: "towertalk@contesting.com" <towertalk@contesting.com>
Subject: [TowerTalk] Tracking Arrival Angle
From: David Gilbert via TowerTalk <towertalk@contesting.com>
Reply-to: David Gilbert <ab7echo@gmail.com>
Date: Fri, 13 Mar 2026 14:56:44 -0700
List-post: <mailto:towertalk@contesting.com>

I mentioned in an earlier post that I was investigating ways to measure and plot incoming signal arrival angles as a function of time.  I just think it would be interesting. but there is probably some practical value considering that many antennas have a notch in the elevation pattern depending upon height above ground, and if the signal meanders through that notch we'd get a lot of fading.

I have an Elecraft K3 with two receivers that can be phase locked, and since phase is preserved through down conversion I can feed the stereo Line Out audio from the rig into the stereo Line IN port of my computer sound card and capture the difference in phase for an arriving signal incident on two antennas spaced some distance apart.  Using Codez AI I built a browser app that does just that process and it works fine.  I can feed two RF signals into my K3 from a 2-channel RF generator with controllable phase shift, and the displayed phase difference for the audio in the browser app is right on target.  The app gives me a scrolling plot of the phase difference ... both "instantaneous" and smoothed.  There is a calibration slider to adjust for phase differences in the feedlines, the receivers (the K3 receivers are phase locked but the absolute phase changes at turn on and whenever the crystal filter changes), and potentially the sound card channels.  Sorry I can't include a screenshot here, but I can send one of an interim version of the app if you're interested.

However, when I tried some real life experiments using the two yagis on my tower (a 2 element 40m and a tribander) I got very squirrely results.  The displayed phase shifts were WAY greater than could be explained by the frequency and spacing of the antennas and they varied quite rapidly in time.  I was using WWV at 10 MHz for the signal source with my K3 cranked down to a 200 Hz bandwidth to mostly reject the AM sidebands.  I suspect that the parasitic nature of the yagis exaggerates the phase response for varying arrival angles (especially for off-axis signals) since parasitic antennas work by manipulating phase, but even when I used EZNEC to model the phase response of two simple dipoles one above the other the phase difference between them didn't match the theoretical sin() profile at all.

I suspected that ground reflections were the culprit so I first tried modeling vertical dipoles one over the other since vertical polarization is less affected by ground reflections, and while that was a little better it didn't fix the problem.  However, the one thing that DOES work in the model is to use two horizontal dipoles at the same height above ground spaced some distance apart horizontally since at least theoretically the ground affects both antennas equally at all arrival angles.  That model tracks almost perfectly with the theoretical cos() profile we would expect ... like to a small fraction of a percent.  The problem with that configuration, though, is that the signal needs to be directly broadside to the dipoles for the calculated angle to be valid.

There are ways to solve all of that if you use enough antennas and probably multiple receivers, but one simpler(?) possibility might be to put two horizontal dipoles at the ends of a roughly 20 foot boom in addition to two vertical dipoles also at the ends of the boom. The antennas don't need to be resonant, and in fact you don't want them to be resonant so the shorter the better as long as the resultant signal is strong enough to register cleanly in the app (or whatever else you use to compare phase).  Use a pair of DPDT switches at the antennas to switch between the horizontal and vertical dipoles to feed two runs of coax (properly choked) back to the shack.  Use the vertical dipoles to get a phase difference of zero in the app for the desired signal when rotating the boom, then rotate the boom 90 degrees and switch to the horizontal dipoles to measure/plot the arrival angle.  A small programmable signal source like an inexpensive Si5351 module located at the center of the boom could be used for calibration.

I don't know if I will actually build an antenna system like that or not, but I will finish up the app and make it freely available for anyone who wants to try something similar.  At the very least it could be used with two ground plane verticals (or three verticals if switched to eliminate the ambiguity inherent with just two antennas)) to determine azimuth, but it still would require two phase locked receivers.  A possible non-transceiver alternative that should work is the SDRPlay RSPduo that sells for about $300 and has two separate receivers that can be phase locked.  I think it could be used with the SDRuno app (free) to provide the required audio feeds to the app using the VB-Audio virtual audio cables app (free for the 2-channel version) although I haven't personally tried it.

Sorry for the long post, but I wanted to summarize things for the folks who had asked.  Comments are welcome.

73,
Dave   AB7E

p.s.  In case anyone is interested, I used a third dipole in the model as a 10 MHz source for the incoming wave.  I positioned it 10,000 feet from the two dipoles and changed it's position in an arc that maintained a 10,000 foot distance for all measurements.  As an example, 45 degrees is 7070 feet for the X dimension in the model and 7070 feet for the Z dimension.  The length of the two dipoles had negligible affect on the results as long as it was short enough (roughly 20 feet or less in the case of 10 MHz).

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