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REVIEW 3 major objections 2 minor 60 references

RSMA Enabled Hierarchical UAV Networks with Non Linear Energy Harvesting: Outage Probability Analysis and UAV Placement Optimization

T0 review · 3 major / 2 minor · reviewed 2026-06-27 · grok-4.3

Pith's one-line read A hierarchical UAV network using RSMA and non-linear energy harvesting from other UAVs achieves lower outage probability than benchmarks under hardware impairments and imperfect CSI.

desk verdict The paper's first-of-its-kind outage analysis for RSMA in hierarchical UAVs with non-linear EH from other UAVs is the real addition, but the donor energy balance is not closed. read the letter →

arxiv 2606.07284 v1 pith:DDJLBHAU submitted 2026-06-05 eess.SP

classification eess.SP
keywords UAVnetworksRSMAenergyharvestingoutageprobabilityNakagami-mfadinghardwareimpairmentsimperfectCSI6G
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

The paper proposes a hierarchical ad hoc UAV network in which UAVs harvest energy from surrounding UAVs via non-linear models and apply rate-splitting multiple access to serve ground IoT devices. It incorporates hardware impairments and imperfect channel state information, then derives exact and high-power approximate outage probability expressions over Nakagami-m fading for individual IoT devices, cluster-member UAVs, and the full system. Two optimization problems are formulated to place UAVs for better reliability. The resulting system is shown to outperform all considered benchmarks in outage probability.

What carries the argument

Outage probability expressions for ground IoT devices, each CMU, and the overall system, together with two UAV-placement optimization problems, all derived while accounting for non-linear EH, HWI, and ICSI.

What would settle it

A measurement campaign or simulation with real UAV channels showing that the derived outage probabilities are higher than those of a benchmark terrestrial-EH system under identical HWI and ICSI conditions.

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Extended reading notes

Core claim

Closed-form outage probability expressions are obtained for the proposed RSMA-enabled hierarchical UAV network with non-linear EH from aerial sources, HWI, and ICSI over Nakagami-m channels; the expressions and the subsequent UAV-placement optimizations demonstrate strictly lower outage than benchmark schemes across the evaluated regimes.

Load-bearing premise

Energy harvesting from surrounding UAVs is more sustainable than from terrestrial sources and Nakagami-m fading accurately represents the channels in the hierarchical setup.

Editorial extensions

If this is right

  • The network supports longer continuous operation because aerial EH avoids terrestrial path-loss limitations.
  • RSMA remains effective for serving multiple IoT devices even when HWI and ICSI are present.
  • Approximate high-power outage formulas simplify performance evaluation without losing the ordering versus benchmarks.
  • Optimized UAV placement directly improves both individual and system-level reliability metrics.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The same derivation approach could be applied to other multiple-access schemes or to hybrid aerial-terrestrial energy sources.
  • Results suggest that scaling the number of harvesting UAVs may further reduce outage without increasing terrestrial infrastructure.
  • Placement optimization may interact with trajectory planning in mobile UAV scenarios not examined here.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

3 major / 2 minor

Summary. The manuscript proposes a hierarchical ad hoc UAV network using rate-splitting multiple access (RSMA) with non-linear energy harvesting (EH) from neighboring UAVs, incorporating hardware impairments (HWI) and imperfect CSI. It derives outage probability expressions for ground IoT devices, cluster member UAVs (CMUs), and the overall system over Nakagami-m fading, provides high-SNR approximations, formulates two UAV placement optimization problems, and reports that the proposed system outperforms benchmarks in outage probability.

Significance. If the outage derivations hold and the non-linear EH model is sustainable, the work could provide useful closed-form expressions and placement insights for RSMA-enabled UAV networks in 6G scenarios with energy constraints. The explicit treatment of HWI and ICSI is a positive step, but the lack of energy-balance verification for donor UAVs limits the strength of the sustainability and outperformance claims.

major comments (3)
  1. [Section II] System model (Section II): The non-linear EH model applies the received RF power from neighboring UAVs directly to the EH function without verifying that donor UAVs can sustain the assumed transmit powers given their own flight energy draw, onboard battery limits, and mission duration; this unclosed energy loop makes the derived outage expressions and the superiority claim conditional on an unstated surplus assumption that is not tested in the numerical results.
  2. [Section III] Outage probability analysis (Section III): The expressions for IoT device and CMU outage probabilities incorporate HWI and ICSI but rely on the EH input power being independent of donor depletion; if donor transmit power cannot be maintained, the Nakagami-m based closed forms and high-SNR approximations lose their claimed practical relevance.
  3. [Section V] Numerical results and optimization (Section V): The reported outperformance over benchmarks is shown via outage curves, yet no sensitivity plots or constraints are provided for donor UAV energy budgets or EH parameter variations, leaving the placement optimization results vulnerable to the same sustainability gap.
minor comments (2)
  1. [Section II] Notation for the non-linear EH parameters (e.g., saturation thresholds) should be defined consistently between the system model and the outage derivations to avoid ambiguity in the high-SNR regime.
  2. [Introduction] The abstract states the work is the first to consider RSMA with non-linear EH, HWI, and ICSI in hierarchical UAVs; a brief related-work table or explicit citation gaps would strengthen this claim.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the constructive comments and the opportunity to improve our manuscript. We address each of the major comments point by point below, providing clarifications on the system assumptions and indicating the revisions we will make.

read point-by-point responses
  1. Referee: [Section II] System model (Section II): The non-linear EH model applies the received RF power from neighboring UAVs directly to the EH function without verifying that donor UAVs can sustain the assumed transmit powers given their own flight energy draw, onboard battery limits, and mission duration; this unclosed energy loop makes the derived outage expressions and the superiority claim conditional on an unstated surplus assumption that is not tested in the numerical results.

    Authors: We appreciate the referee's point on the practical sustainability of the donor UAVs' transmit powers. Our analysis focuses on the RF energy harvesting for communication purposes, with the assumption that UAVs have separate energy management for flight and propulsion, as is standard in UAV communication literature. The non-linear EH model is applied to the received power at the harvesting nodes. To address this, we will revise Section II to explicitly state that the transmit powers of donor UAVs are assumed to be maintained by their primary energy sources, independent of the EH process at other nodes. We will also note that a full energy balance including flight energy draw is beyond the scope of this work but acknowledge that the results are conditional on sufficient energy reserves at donors. revision: partial

  2. Referee: [Section III] Outage probability analysis (Section III): The expressions for IoT device and CMU outage probabilities incorporate HWI and ICSI but rely on the EH input power being independent of donor depletion; if donor transmit power cannot be maintained, the Nakagami-m based closed forms and high-SNR approximations lose their claimed practical relevance.

    Authors: The outage expressions in Section III are derived under the system model assumptions detailed in Section II. We will update the text in Section III to cross-reference the clarified assumptions regarding donor energy sustainability. This will ensure that the practical relevance of the closed-form expressions and approximations is discussed with the appropriate caveats, without altering the mathematical derivations themselves. revision: partial

  3. Referee: [Section V] Numerical results and optimization (Section V): The reported outperformance over benchmarks is shown via outage curves, yet no sensitivity plots or constraints are provided for donor UAV energy budgets or EH parameter variations, leaving the placement optimization results vulnerable to the same sustainability gap.

    Authors: We agree that sensitivity analysis would provide additional insights. In the revised manuscript, we will expand Section V to include a discussion on the sensitivity of the results to EH parameters and explicitly state the dependence on the donor energy assumption. While incorporating full energy budget constraints would require a significantly extended model, we will add textual analysis explaining the conditions under which the placement optimization holds. revision: partial

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: derivations rest on standard channel models and explicit assumptions without reduction to fitted inputs or self-citations.

full rationale

The provided abstract and skeptic summary describe standard derivations of outage probability over Nakagami-m channels incorporating HWI, ICSI, and a non-linear EH function as an input model. No equations are shown that equate a derived quantity back to a fitted parameter by construction, and no self-citations are invoked as load-bearing uniqueness theorems. The optimization steps follow the derived expressions rather than presupposing their results. The energy-balance concern raised by the skeptic is an unverified modeling assumption (correctness risk) rather than a definitional loop. The derivation chain is therefore self-contained against external benchmarks.

Assumptions & free parameters 0 free parameters · 2 assumptions · 0 invented entities

Abstract-only review; ledger populated from stated elements in abstract. Relies on standard wireless models (Nakagami-m) and practical constraints (HWI, ICSI, non-linear EH) without further detail.

assumptions (2)
  • domain assumption Nakagami-m fading channels accurately model the propagation environment
    Invoked for all outage derivations in the abstract.
  • domain assumption Non-linear EH from peer UAVs is feasible and more sustainable than terrestrial sources
    Central modeling choice stated in abstract as motivation and constraint.

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Cite this review

Pith. "Pith review of RSMA Enabled Hierarchical UAV Networks with Non Linear Energy Harvesting: Outage Probability Analysis and UAV Placement Optimization." pith.science (2026). https://pith.science/paper/DDJLBHAU

@misc{pith2026260607284,
  author       = {Pith},
  title        = {Pith review of: RSMA Enabled Hierarchical UAV Networks with Non Linear Energy Harvesting: Outage Probability Analysis and UAV Placement Optimization},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/DDJLBHAU}},
  note         = {Machine review of arXiv:2606.07284}
}
abstract

Uncrewed aerial vehicles (UAVs) are expected to enhance connectivity, extend network coverage, and support advanced communication services in sixth-generation (6G) cellular networks, particularly in public and civil applications. Although multi-UAV systems offer greater efficiency and cost-effectiveness than single-UAV deployments, their implementation still faces several fundamental challenges that limit their reliability, sustainability, and scalability. The limited onboard energy restricts mission duration and communication continuity. Therefore, wireless energy harvesting (EH) emerges as a promising solution to overcome this limitation. However, terrestrial energy sources experience path loss, making EH from surrounding UAVs more sustainable. Moreover, rate-splitting multiple access (RSMA) remains insufficiently explored in hierarchical UAV networks under hardware impairments (HWI) and imperfect channel state information (ICSI). This paper proposes a hierarchical ad hoc UAV network with non-linear EH and RSMA to enhance both energy and cost efficiency, where UAVs harvest energy from surrounding UAVs. For a practical scenario, we consider the effect of HWI and ICSI in our proposed system. To the best of the authors knowledge, this study is the first to investigate such a scenario in the literature. The outage probability expressions for ground Internet of things (IoT) devices, each CMU, and the overall outage probability of the proposed system are derived over Nakagami-$m$ fading channels while considering practical constraints such as HWI, ICSI, and non-linear EH. Additionally, approximate outage probability expressions are derived for high transmit power regimes. Subsequently, we formulate two optimization problems to enhance reliability and performance. Our findings indicate that the proposed system outperforms all benchmarks in terms of outage probability.

Figures

Figures reproduced from arXiv: 2606.07284 by the authors.

Figure 1
Figure 1. Hierarchical ad hoc UAV network with EH system [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Block diagram of the PS protocol for a hierarchical [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Outage probability performance of two ground IoT devices with different threshold values under HWI and ICSI. and efficiency in harvested energy, leading to an increased outage probability. This again emphasizes the significance of mitigating HWI and ICSI to fully exploit the benefits of EH in the proposed system [PITH_FULL_IMAGE:figures/full_fig_p012_3.png] view at source ↗
Figures from the paper (4 more)
Figure 5
Figure 5. Figure 5: Comparison of the hierarchical ad hoc UAV network with non-linear EH using NOMA and RSMA with different threshold values under HWI and ICSI. wider range of input power levels. The proposed system consistently achieves higher harvested energy compared to the ground-base…
Figure 8
Figure 8. Figure 8: Overall outage probability for RSMA and NOMA with different numbers of CMU, L = {4, 6, 8, 10} under HWI and ICSI. 0 5 10 15 20 25 30 35 40 45 50 10-4 10-3 10-2 10-1 100 [PITH_FULL_IMAGE:figures/full_fig_p014_8.png]
Figure 7
Figure 7. Figure 7: Comparison of the harvested energy between the ground-based EH and the proposed system; (a) EEH w.r.t., Pth with different Pt values; (b) EEH w.r.t., dl with different Pt values. nates and the EH factor (ρ) due to its random nature. The RSEL algorithm, on the other han…
Figure 10
Figure 10. Figure 10: CMU outage probability w.r.t. Pt for various opti￾mization algorithms: RSEL, HGCD, CPPF, and JCPPM under HWI and ICSI. with gains of approximately 8 dB and 12 dB in NOMA and RSMA, respectively. The proposed algorithms (OPM￾JCIS, CPPF, and JCPPM) further deliver superi…

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