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arxiv: 2604.11816 · v1 · submitted 2026-04-10 · ⚛️ physics.ins-det · astro-ph.IM

Frequency & Radiative Analysis of Random Yagi-UHF/VHF Phased Array

Luis M. Bres , Luis A. Hernandez , Teviet D. Creighton This is my paper

Pith reviewed 2026-05-10 15:59 UTC · model grok-4.3

classification ⚛️ physics.ins-det astro-ph.IM
keywords phased arrayYagi antennapseudo-random layoutUHF/VHFbeam steeringmulti-beamformingground stationside lobe analysis
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The pith

A pseudo-random layout of dual-polarized Yagi antennas enables a low-cost phased array to track multiple sources with electronic and multi-beam steering.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper investigates the performance of a 20-pair dual-polarized yagi-UHF/VHF phased array arranged in a pseudo-random layout for ground station use. It compares random versus uniform element distributions through targeted analyses of side-lobe behavior in elevation and azimuth, scaling with element count, electronic beam steering, mechanical steering, combined electro-mechanical steering, array density effects, and reception and transmission spectra. A sympathetic reader would care because the design aims to deliver simultaneous multi-source tracking, multi-beamforming, and flexible steering without high expense or mechanical complexity, potentially suiting applications that need scalable radio reception or transmission at UHF and VHF bands.

Core claim

The paper claims that a phased array ground station built from 20 pairs of dual-polarized Yagi antennas in a pseudo-random layout can achieve multi-source tracking, multi-beamforming, electronic steering, easy scaling, and low cost. These capabilities are examined by contrasting random and uniform layouts and by carrying out side-lobe analysis across elevation and azimuth, an element-sweep study of scaling, separate electronic, mechanical, and electro-mechanical beam-steering analyses, array-density assessment, and reception/transmission spectra analysis.

What carries the argument

The pseudo-random layout of the 20-pair dual-polarized Yagi elements, used to compare radiation parameters against uniform distributions and to support the listed beam-steering and scaling analyses.

If this is right

  • The array can be expanded by adding elements while preserving the ability to form multiple beams.
  • Electronic steering removes the need for continuous mechanical movement when tracking sources.
  • Multi-beamforming allows one station to monitor or communicate with several sources at once.
  • Low-cost construction and simple scaling make the design practical for distributed or resource-limited deployments.
  • Reception and transmission spectra results can guide frequency-specific optimizations for UHF or VHF operation.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • If side-lobe suppression improves with the random layout, the same placement strategy could be tested at neighboring frequency bands where interference is a concern.
  • The electro-mechanical steering analysis suggests hybrid control systems that switch between fast electronic adjustments and slower mechanical repositioning for energy efficiency.
  • Density analysis may indicate optimal spacing that balances gain against mutual coupling, offering a design rule for similar Yagi arrays.
  • Spectra analysis could reveal bandwidth limits that determine whether the array suits narrowband or wideband applications.

Load-bearing premise

That the planned comparisons of random and uniform distributions together with the listed analyses will produce actionable insights into the advantages of the pseudo-random layout under real conditions.

What would settle it

If the completed side-lobe, scaling, steering, and spectra analyses show no measurable improvement in multi-beam performance or side-lobe control for the pseudo-random layout relative to a uniform layout, or if the array fails to support simultaneous tracking of multiple sources.

Figures

Figures reproduced from arXiv: 2604.11816 by Luis A. Hernandez, Luis M. Bres, Teviet D. Creighton.

Figure 1
Figure 1. Figure 1: FIGURE 1 [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIGURE 2 [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIGURE 3 [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIGURE 5 [PITH_FULL_IMAGE:figures/full_fig_p004_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIGURE 6 [PITH_FULL_IMAGE:figures/full_fig_p004_6.png] view at source ↗
Figure 11
Figure 11. Figure 11: shows the transmission spectra of our 2-element yagi-UHF array with a separation distance of 0.6λUHF . We observe that these directional-polarized antennas’ rotation affects both the reception and transmission spectra. By ro￾tating ψ from 0° to 90° we see a frequency shift towards the right on both the reception and transmission spectra. At ψ = 0° the antennas are aligned linearly with a small gap and bas… view at source ↗
Figure 12
Figure 12. Figure 12: depicts the transmission spectra of our 2-element yagi-VHF array with a separation distance of 0.6λV HF . At these frequencies there is no significant shift in the reception spectrum by rotating the antennas. In all rotation cases, FIGURE 12. Case 4: Directional axis rotation transmission spectra of a 2-element yagi-VHF antenna array of 0.6λV HF separation distance. Fixed θ = 90°. ψ sweep (0°, 45°, 90°). … view at source ↗
Figure 15
Figure 15. Figure 15: FIGURE 15 [PITH_FULL_IMAGE:figures/full_fig_p006_15.png] view at source ↗
Figure 14
Figure 14. Figure 14: FIGURE 14 [PITH_FULL_IMAGE:figures/full_fig_p006_14.png] view at source ↗
Figure 19
Figure 19. Figure 19: shows the beam pattern E-plane cuts of a yagi￾UHF/VHF uniform phased array. At first glance, we observe that these arrangements are not suited for our purposes since there is minimal side lobe attenuation from the main lobe. There are highly sensitive lobes spread out through the ele￾vation plane. FIGURE 20. H-plane scan beam pattern metrics for yagi-UHF uniform phased array. VOLUME 4, 2016 7 [PITH_FULL_… view at source ↗
Figure 18
Figure 18. Figure 18: FIGURE 18 [PITH_FULL_IMAGE:figures/full_fig_p007_18.png] view at source ↗
Figure 21
Figure 21. Figure 21: shows a uniform VHF array’s side lobe angular magnitude. We observe the following results: a ML of 22.5 dBi, a BWHP of 8°, ∆θSL of 71.5°, an SL(ϕ0)max of 18.4 dBi with an attenuation AdBi of 4.08 dBi, an ⟨SL(ϕ)⟩ of 6.65 dBi with an AdBi of 15.8 dBi and a MLC ratio of 13.6 dB. Uniform yagi-UHF/VHF arrays are bad for satellite com￾munications, they have low SL(ϕ) attenuation from ML across the H-plane. 2) R… view at source ↗
Figure 24
Figure 24. Figure 24: illustrates the SL(ϕ) for a random array of yagi￾VHF antennas. We observe the following results: a ML of 22.5 dBi, a BWHP of 6.24°, ∆θSL of 59.4°, an SL(ϕ0)max of 14.1 dBi with an attenuation AdBi of 8.4 dBi, an ⟨SL(ϕ)⟩ of 10.9 dBi with an AdBi of 11.5 dBi and a MLC ratio of 14.3 dB. Random yagi-UHF/VHF arrays are good for satellite com￾munications, they have high SL(ϕ) attenuation from ML across the H-pl… view at source ↗
Figure 26
Figure 26. Figure 26: shows an E-plane electronic steering sweep eval￾uating various metrics of array performance for a yagi-UHF random array, with a fixed ϕ = 0° H-plane angle. We can observe that ML decreases as the electronic steering angle lowers from the zenith. The SL(ϕ0)max and ⟨SL(ϕ)⟩ remain constant, so the MLC ratio follows the same behavior as ML. The BWHP remains roughly constant until it increases sharply for elev… view at source ↗
Figure 25
Figure 25. Figure 25: illustrates the beam pattern when electronically steered to 60°. E-plane beam steering on the phased array’s beam pattern has the following effects: All lobes will shift according to the steering angle with the main lobe centered. Lobes pointing at high/low E-plane angles gain/lose intensity [PITH_FULL_IMAGE:figures/full_fig_p009_25.png] view at source ↗
Figure 30
Figure 30. Figure 30: shows the beam pattern mechanically steered to 60°. Unlike electronic steering, this method does not affect the relative positioning of lobes within the radiation pattern. However, it introduces different effects: The lobes do not shift as they do in electronic steering. The cosine factor of the individual antenna responses follow the steering angle, while the main lobe remains pointed upward, resulting i… view at source ↗
Figure 29
Figure 29. Figure 29: shows similar results for the metric ∆θ for ⟨SL(ϕ)⟩ and SL(ϕ0)max for Yagi-VHF random phased ar￾rays for different azimuthal slices. As with the UHF case, the ideal condition would be a large and constant ∆θ across the H-plane. However, we observe slight higher for the random Yagi-VHF scenario. A ∆θ⟨SL(ϕ)⟩ of 24°, a ∆θSLmax of 54°, and a ∆θMLC of 14°. We also have a mean ∆θ⟨SL(ϕ)⟩ of 124.21°, a mean ∆θSLm… view at source ↗
Figure 32
Figure 32. Figure 32: FIGURE 32 [PITH_FULL_IMAGE:figures/full_fig_p011_32.png] view at source ↗
Figure 33
Figure 33. Figure 33: illustrates the beam pattern electronically and mechanically steered to 60°. By integrating both electronic Yagi-UHF Yagi-VHF FIGURE 33. E-plane cut for electronic+mechanical steering at 60°for random yagi-UHF/VHF phased arrays. FIGURE 34. Beam pattern metrics for electronic+mechanical steering sweep for yagi-UHF random phased array. and mechanical steering, the advantages of both approaches can be levera… view at source ↗
Figure 37
Figure 37. Figure 37: shows similar behavior for the yagi-VHF config￾uration. Both SL(ϕ0)max and ⟨SL(ϕ)⟩ increase gradually through the sweep. The BWHP reaches its minimum at a 70- meter baseline radius. The MLC ratio remains fairly steady, with a 50x ML-to-⟨BP⟩ multiplier. FIGURE 36. Array density analysis for yagi-UHF phased arrays. FIGURE 37. Array density analysis for yagi-VHF phased arrays. V. CONCLUSION The results indic… view at source ↗
Figure 36
Figure 36. Figure 36: shows the importance of a compact phased array to effectively attenuate side lobes. In the yagi-UHF case, the ⟨SL(ϕ)⟩ increases at a low rate, while SL(ϕ0)max fluctuates slightly but remains within a similar range. The BWHP decreases steadily up to its minimum at 30 m array baseline radius. This effect is merely an angular sampling effect of the beam pattern, increasing it should allow the BWHP to keep de… view at source ↗
read the original abstract

This paper investigates a phased array ground station capable of tracking multiple sources, multi-beamforming, electronic steering, easy scaling, and low cost. The project will develop a 20-pair dual-polarized yagi-UHF/VHF phased array with a pseudo-random layout, comparing parameters of random and uniform distributions. We will present several analyses: general analysis for side lobes across both elevation and azimuth, analysis of scaling with number of elements ("element sweep"), electronic beam steering analysis, mechanical beam steering analysis, electro-mechanical beam steering analysis, array density analysis, and reception/transmission spectra analysis.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 0 minor

Summary. The manuscript outlines plans to develop a 20-pair dual-polarized Yagi-UHF/VHF phased array ground station using a pseudo-random layout. It states that the project will compare random versus uniform element distributions and will present analyses of side-lobe levels (elevation and azimuth), element scaling, electronic beam steering, mechanical beam steering, electro-mechanical steering, array density, and reception/transmission spectra. The text contains no equations, simulations, measured data, or completed results.

Significance. Low-cost, scalable phased arrays for multi-source tracking in the UHF/VHF bands are of practical interest for instrumentation. If the described analyses were executed with reproducible simulations or measurements that quantified advantages of the pseudo-random layout, the work could provide useful design guidance. No such results are present, so significance cannot be assessed from the current manuscript.

major comments (2)
  1. [Abstract] Abstract and full text: the central claims that the array 'is capable of' multi-source tracking, multi-beamforming, electronic steering, and low-cost scaling are unsupported assertions. The manuscript uses only future tense ('will develop', 'will present') and supplies no executed side-lobe analysis, element-sweep results, beam-pattern calculations, or any other quantitative evaluation.
  2. No sections, equations, figures, or tables exist in the manuscript. Without at least one completed analysis (e.g., the promised random-versus-uniform side-lobe comparison or element-sweep data), the asserted performance advantages remain untested and cannot be evaluated for correctness or novelty.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the detailed review. We agree that the submitted manuscript is a high-level description of planned work rather than a completed study with executed analyses or quantitative results. The text is written entirely in future tense and contains no equations, simulations, or data. We will revise the manuscript substantially to address these issues by adding preliminary simulation results, equations, and figures while clarifying the scope as a design and analysis plan.

read point-by-point responses

  1. Referee: [Abstract] Abstract and full text: the central claims that the array 'is capable of' multi-source tracking, multi-beamforming, electronic steering, and low-cost scaling are unsupported assertions. The manuscript uses only future tense ('will develop', 'will present') and supplies no executed side-lobe analysis, element-sweep results, beam-pattern calculations, or any other quantitative evaluation.

    Authors: We acknowledge that the claims are presented as project goals rather than demonstrated outcomes, and the future tense accurately reflects the current state of the work. In revision we will rephrase the abstract and introduction to state these as intended capabilities of the planned array, supported by initial simulations. We will add a new section with beam-pattern calculations and side-lobe comparisons between random and uniform layouts to provide quantitative grounding for the design choices. revision: yes

  2. Referee: [—] No sections, equations, figures, or tables exist in the manuscript. Without at least one completed analysis (e.g., the promised random-versus-uniform side-lobe comparison or element-sweep data), the asserted performance advantages remain untested and cannot be evaluated for correctness or novelty.

    Authors: The current manuscript is limited to an outline of the project. We agree that this prevents evaluation of novelty or correctness. The revised version will include dedicated sections with the array factor equations, simulation methodology, at least one completed analysis (random vs. uniform side-lobe levels in elevation and azimuth), element-scaling results, and accompanying figures and tables. This will allow direct assessment of the pseudo-random layout advantages. revision: yes

Circularity Check

0 steps flagged

No derivation chain or equations present; paper is a forward-looking project plan

full rationale

The manuscript describes intended future work on a phased array but supplies no equations, derivations, fitted parameters, predictions, or completed analyses. Without any load-bearing mathematical steps or results, there is no derivation chain that could reduce to its own inputs by construction, self-citation, or renaming. The content is therefore self-contained as a statement of planned activities.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

The abstract does not introduce or rely on specific free parameters, axioms, or invented entities beyond standard antenna engineering concepts.

pith-pipeline@v0.9.0 · 5398 in / 995 out tokens · 52477 ms · 2026-05-10T15:59:57.756841+00:00 · methodology

discussion (0)

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