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arxiv: 2604.17533 · v1 · submitted 2026-04-19 · 📡 eess.SP

A Novel 3D Antenna Architecture with Spatial Resource Allocation for Massive MIMO HAPS

Rozita Shafie , Omid Abbasi , Halim Yanikomeroglu , Mohammad Javad Omidi This is my paper

Pith reviewed 2026-05-10 05:39 UTC · model grok-4.3

classification 📡 eess.SP
keywords massive MIMOHAPSspatial correlation3D antennaresource allocationuser clusteringpower allocationdata rate maximization
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The pith

A sectorized 3D antenna architecture combined with orthogonality-based resource allocation maximizes data rate in massive MIMO HAPS systems.

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

The paper seeks to overcome spatial correlation problems in massive MIMO systems mounted on high-altitude platforms by introducing a sectorized three-dimensional antenna that transmits targeted beams to users. It also clusters users according to whether their channel gains are orthogonal, assigning shared resource blocks only to those with orthogonal gains to cut interference. Joint optimization of transmit power and these resource assignments is used to push the total system data rate as high as possible. Simulations confirm that the resource allocation step plays a key part in controlling correlation and interference effects that otherwise limit performance.

Core claim

The authors propose an integrated solution that pairs a sectorized 3D antenna architecture on the HAPS base station with a spatial resource allocation scheme based on user clustering by channel-gain orthogonality. Same resource blocks are given to users with orthogonal channel gains, while non-orthogonal users get distinct blocks. This setup, together with power allocation, is jointly optimized to maximize the aggregate data rate of the massive MIMO HAPS system.

What carries the argument

The sectorized 3D antenna architecture that directly transmits three-dimensional beams to reduce spatial correlation among antenna elements, together with the orthogonality-based assignment of resource blocks to users.

If this is right

  • The joint optimization increases the overall data rate of the system.
  • Spatial resource allocation effectively manages spatial correlation and interference.
  • Users with orthogonal channel gains can share resource blocks without causing high interference.
  • The approach improves performance in scenarios with high user density served by HAPS.

Where Pith is reading between the lines

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

  • Similar antenna and allocation methods might apply to other aerial or satellite-based MIMO systems facing similar correlation issues.
  • Lower spatial correlation could allow for higher spectral efficiency or reduced transmit power in HAPS networks.
  • Real-world validation would require field measurements of channel gains under the proposed antenna configuration.

Load-bearing premise

That the sectorized 3D antenna architecture reduces spatial correlation among elements sufficiently to make the orthogonality-based resource allocation effective at controlling interference.

What would settle it

Simulation or measurement results showing that the proposed 3D sectorized antenna does not reduce spatial correlation compared to a standard planar array, or that the data rate gain from the joint optimization is negligible.

Figures

Figures reproduced from arXiv: 2604.17533 by Halim Yanikomeroglu, Mohammad Javad Omidi, Omid Abbasi, Rozita Shafie.

Figure 1
Figure 1. Figure 1: The proposed antenna architecture featuring a sectorized cylindrical design and corresponding communication setups. [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Total sum rate versus HAPS BS power with [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Comparison of resource blocks and subsections for [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 5
Figure 5. Figure 5: Visualization of the (a) azimuth and (b) elevation angles [PITH_FULL_IMAGE:figures/full_fig_p006_5.png] view at source ↗
Figure 4
Figure 4. Figure 4: Heatmap of the correlation coefficients among users [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
read the original abstract

Spatial correlation poses a significant challenge in massive multiple-input multiple-output (MIMO) high-altitude platform station (HAPS) systems. The inherent spatial correlation among antenna elements on the HAPS induces high correlation and interference among users' channel gains. To mitigate this issue, we propose an integrated approach that combines spatial resource allocation and user clustering. In our proposed solution, we assign the same resource blocks to users with orthogonal channel gains, while users with non-orthogonal channel gains receive different resource blocks. Additionally, we propose a sectorized antenna architecture for the massive MIMO HAPS base station, specifically designed to directly transmit three-dimensional beams to users and reduce spatial correlation among antenna elements. This work addresses the joint optimization problem of power allocation and resource allocation to maximize the overall data rate of the massive MIMO HAPS system. Simulation results revealed the role of spatial resource allocation in managing spatial correlation and interference among users.

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

3 major / 2 minor

Summary. The manuscript proposes a sectorized 3D antenna architecture for massive MIMO HAPS systems to reduce spatial correlation among antenna elements by enabling direct 3D beam transmission. It combines this hardware design with a spatial resource allocation scheme that assigns identical resource blocks to users exhibiting orthogonal channel gains and distinct blocks to non-orthogonal users, together with a joint optimization of power and resource allocation aimed at maximizing the aggregate data rate. Simulation results are presented to illustrate the role of the resource allocation in managing interference.

Significance. If the central claims hold after the missing derivations and benchmarks are supplied, the work would address a practical limitation in HAPS-based massive MIMO by linking a novel antenna geometry to an orthogonality-driven resource policy. The integrated hardware-algorithm approach could inform future aerial platform designs, though the current absence of closed-form analysis or external validation limits its immediate contribution relative to existing massive-MIMO literature.

major comments (3)
  1. [Abstract / Proposed Architecture] Abstract and architecture description: The claim that the sectorized 3D architecture 'directly transmit three-dimensional beams … and reduce spatial correlation among antenna elements' is load-bearing for the subsequent clustering and allocation steps, yet no array geometry, 3D sector pattern, steering vectors, or explicit spatial correlation matrix R is derived or compared against a conventional planar array under the same HAPS geometry and user angles.
  2. [Optimization Problem] Joint optimization formulation: The manuscript states that a joint power-and-resource-allocation problem is solved to maximize overall data rate, but supplies neither the mathematical program (objective, constraints, CSI assumptions), the solution algorithm (convexity, iterative method, complexity), nor convergence or optimality guarantees, rendering the claimed maximization unverifiable.
  3. [Simulation Results] Simulation results: No baselines (e.g., non-sectorized massive MIMO or conventional resource allocation), performance metrics with numerical values, number of Monte-Carlo trials, error bars, or statistical tests are reported, so the assertion that 'simulation results revealed the role of spatial resource allocation' cannot be assessed and risks circularity within the same simulation framework.
minor comments (2)
  1. [Notation] Notation for channel gains, orthogonality threshold, and resource-block assignment should be defined consistently before the optimization section.
  2. [Abstract] The abstract would benefit from a single quantitative statement of the reported rate improvement relative to at least one baseline.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the constructive and detailed feedback. We address each major comment below and will make the necessary revisions to strengthen the manuscript.

read point-by-point responses

  1. Referee: [Abstract / Proposed Architecture] Abstract and architecture description: The claim that the sectorized 3D architecture 'directly transmit three-dimensional beams … and reduce spatial correlation among antenna elements' is load-bearing for the subsequent clustering and allocation steps, yet no array geometry, 3D sector pattern, steering vectors, or explicit spatial correlation matrix R is derived or compared against a conventional planar array under the same HAPS geometry and user angles.

    Authors: We acknowledge that the explicit array geometry, 3D sector pattern, steering vectors, and spatial correlation matrix R were not derived or compared in sufficient detail in the submitted manuscript. In the revision, we will add the full derivation of the sectorized 3D antenna array response, the sector pattern, the steering vector formulation, and the explicit computation of R. We will also include a side-by-side comparison of R against a conventional planar array under identical HAPS geometry and user angle distributions to quantify the correlation reduction and support the clustering steps. revision: yes

  2. Referee: [Optimization Problem] Joint optimization formulation: The manuscript states that a joint power-and-resource-allocation problem is solved to maximize overall data rate, but supplies neither the mathematical program (objective, constraints, CSI assumptions), the solution algorithm (convexity, iterative method, complexity), nor convergence or optimality guarantees, rendering the claimed maximization unverifiable.

    Authors: The referee correctly notes that the joint optimization lacks explicit mathematical detail. We will revise the manuscript to present the complete optimization program (sum-rate objective, power and orthogonality-based resource constraints, perfect CSI assumption), describe the iterative solution algorithm used, its complexity, and include convergence behavior. While a closed-form optimality guarantee is not provided due to the problem structure, the added formulation and algorithm description will make the maximization claim verifiable. revision: yes

  3. Referee: [Simulation Results] Simulation results: No baselines (e.g., non-sectorized massive MIMO or conventional resource allocation), performance metrics with numerical values, number of Monte-Carlo trials, error bars, or statistical tests are reported, so the assertion that 'simulation results revealed the role of spatial resource allocation' cannot be assessed and risks circularity within the same simulation framework.

    Authors: We agree the simulation section requires expansion for proper evaluation. The revised version will add baseline comparisons (non-sectorized massive MIMO and standard resource allocation), report concrete numerical metric values, specify the number of Monte-Carlo trials, include error bars, and apply statistical tests to confirm the impact of the proposed allocation on interference and correlation. revision: yes

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The available text (abstract plus high-level description) presents a proposal for a sectorized 3D antenna architecture and a joint optimization of power/resource allocation whose performance is evaluated by simulation. No equations, parameter-fitting procedures, or self-citations are supplied that would allow any claimed prediction or derived quantity to be shown as identical to its own inputs by construction. The design goal of reducing spatial correlation is stated as an architectural choice rather than a result that is then re-derived from itself. Simulation outcomes are therefore independent empirical checks rather than tautological reproductions of fitted values.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

The central claim rests on the effectiveness of the new antenna design and the orthogonality-based clustering rule, but the abstract provides no explicit free parameters, axioms, or invented entities that can be audited.

pith-pipeline@v0.9.0 · 5468 in / 1053 out tokens · 64916 ms · 2026-05-10T05:39:33.625241+00:00 · methodology

discussion (0)

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