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Rate-Splitting--Inspired Uplink Near-Field ISAC

T0 review · 1 major / 1 minor · reviewed 2026-06-27 · grok-4.3

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Pith's one-line read Rate splitting in uplink near-field ISAC contains or enlarges the NOMA time-sharing region for communication and sensing rates.

desk verdict RS splitting enlarges the uplink near-field ISAC rate region beyond NOMA time-sharing because the split factor reshapes sensing interference, but the gain rests on the residual interference model and matched illumination. read the letter →

arxiv 2606.07091 v1 pith:AVSBNTBQ submitted 2026-06-05 eess.SP

Anup Mishra , Israel Leyva-Mayorga , Petar Popovski This is my paper · ORCID
classification eess.SP
keywords rate-splittinguplinkISACnear-fieldNOMAcommunication-sensingtradeoffresidualinterference
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

This paper develops a rate-splitting inspired framework for uplink near-field integrated sensing and communication. It shows that splitting the communication message allows a single-frame boundary that includes the region achieved by non-orthogonal multiple access time-sharing. The split factor also affects sensing interference, enabling the boundary to match or exceed the tradeoff between communication rate and sensing rate. High signal-to-noise ratio analysis and large array limits are derived using a near-field channel model.

What carries the argument

The rate-splitting factor that splits the communication message across the sensing operation, which reshapes both communication decoding and residual sensing interference.

What would settle it

A calculation or simulation showing that under sensing-matched illumination the RS-inspired boundary does not contain or enlarge the NOMA time-sharing region for the communication-sensing rate tradeoff.

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Extended reading notes

Core claim

The achievable communication-rate and sensing-rate region under sensing-matched illumination is characterized by a rate-splitting inspired boundary that contains the non-orthogonal multiple access inspired time-sharing region, and the split factor reshapes the sensing-stage interference allowing the boundary to match or strictly enlarge the sensing and communication tradeoff.

Load-bearing premise

The claims rest on sensing-matched illumination and the specific model for residual sensing interference from target-response estimation uncertainty.

Editorial extensions

If this is right

  • The RS-inspired boundary contains the NOMA time-sharing region.
  • For non-aligned channels, residual interference changes rate offsets but not leading slopes.
  • In aligned case, residual interference becomes slope-limiting.
  • Achievable rates remain finite as array size grows in near-field model.

Reading between the lines

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

  • This suggests rate-splitting could be useful in other integrated sensing and communication setups where interference between functions is asymmetric.
  • The finite large-array rates imply that simply adding more antennas may not yield unbounded gains without adjusting the model.
  • Extensions could test the framework with different target estimation uncertainties.
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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

1 major / 1 minor

Summary. The paper develops a rate-splitting (RS)-inspired framework for uplink near-field ISAC that generalizes NOMA by splitting the communication message across the sensing operation. It derives closed-form expressions for communication-rate (CR) and sensing-rate (SR) accounting for residual sensing interference from target-response estimation uncertainty. The achievable CR-SR rate region is characterized under sensing-matched illumination, showing that the RS-inspired boundary contains the NOMA-inspired time-sharing region and can strictly enlarge it because the split factor reshapes sensing-stage interference. High-SNR and large-array analyses are provided using an aperture-aware near-field channel model, with numerical validation.

Significance. If the modeling assumptions hold, this work provides valuable insights into using RS for managing S&C interference in uplink ISAC, with the potential to achieve better tradeoffs than NOMA time-sharing. The closed-form derivations, high-SNR analysis showing slope vs offset effects, and large-array limits demonstrating finite rates are analytical strengths. The near-field modeling adds practical relevance.

major comments (1)
  1. [Abstract] Abstract: The central claim that the RS-inspired boundary contains and can strictly enlarge the NOMA time-sharing region because 'the split factor in uplink ISAC also reshapes the sensing-stage interference' is load-bearing. This rests on the specific residual sensing interference term arising from target-response estimation uncertainty under the sensing-matched illumination assumption. The manuscript should explicitly derive (in the section presenting the closed-form CR/SR expressions) how this term depends on the split factor in a manner that produces the claimed reshaping effect, as opposed to merely recovering the time-sharing face as in the classical Gaussian uplink MAC.
minor comments (1)
  1. The abstract states that 'numerical results validate the analysis and demonstrate the benefits'; a table listing the simulation parameters (e.g., array size, SNR range, split-factor values) would improve reproducibility.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the constructive comment on our manuscript. The point regarding explicit derivation of the split-factor dependence in the residual sensing interference is valid and will be addressed in revision.

read point-by-point responses

  1. Referee: [Abstract] Abstract: The central claim that the RS-inspired boundary contains and can strictly enlarge the NOMA time-sharing region because 'the split factor in uplink ISAC also reshapes the sensing-stage interference' is load-bearing. This rests on the specific residual sensing interference term arising from target-response estimation uncertainty under the sensing-matched illumination assumption. The manuscript should explicitly derive (in the section presenting the closed-form CR/SR expressions) how this term depends on the split factor in a manner that produces the claimed reshaping effect, as opposed to merely recovering the time-sharing face as in the classical Gaussian uplink MAC.

    Authors: We agree that the claim is central and benefits from an explicit step-by-step derivation. The closed-form CR and SR expressions already incorporate the residual interference term (arising from target-response estimation uncertainty under sensing-matched illumination), and this term depends on the split factor through the power allocation between the common and private communication streams that affects the sensing-stage illumination. However, the dependence is currently embedded within the overall expressions rather than isolated in a dedicated derivation. In the revised manuscript we will add, in the section presenting the closed-form expressions, an explicit paragraph deriving I_res(α) = σ_e² · P_s(α) where P_s(α) is the effective sensing power shaped by the split factor α, and we will contrast this functional dependence with the classical Gaussian MAC (where no such sensing-stage reshaping occurs). This addition will directly support the claimed enlargement of the rate region. revision: yes

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: derivations follow from stated model and standard rate expressions

full rationale

The paper states closed-form CR/SR expressions derived from standard mutual-information formulas under an explicit near-field channel model plus a residual sensing interference term from target-response estimation uncertainty. The RS boundary containment/enlargement relative to NOMA time-sharing is obtained by comparing these expressions for different split factors; the comparison is a direct algebraic consequence of the model rather than a self-definition or fitted quantity renamed as prediction. No load-bearing step reduces to a self-citation chain, uniqueness theorem imported from the authors, or ansatz smuggled via prior work. The large-array limits and high-SNR slope analysis are likewise obtained by taking limits of the same closed-form expressions. The derivation chain is therefore self-contained against the paper's own stated assumptions and does not exhibit any of the enumerated circularity patterns.

Assumptions & free parameters 1 free parameters · 2 assumptions · 0 invented entities

The framework rests on standard rate expressions from information theory and the aperture-aware near-field channel model; the split factor is the main tunable element whose effect on both communication and sensing interference is central to the claimed improvement.

free parameters (1)
  • split factor
    Parameter that divides the communication message and simultaneously alters sensing-stage interference; its value determines the boundary of the achievable CR-SR region.
assumptions (2)
  • standard math Standard mutual-information expressions for communication and sensing rates in the presence of interference
    Used to obtain the closed-form CR and SR expressions.
  • domain assumption Aperture-aware near-field channel model
    Invoked for the large-array asymptotic analysis showing finite rates.

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Cite this review

Pith. "Pith review of Rate-Splitting--Inspired Uplink Near-Field ISAC." pith.science (2026). https://pith.science/paper/AVSBNTBQ

@misc{pith2026260607091,
  author       = {Pith},
  title        = {Pith review of: Rate-Splitting--Inspired Uplink Near-Field ISAC},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/AVSBNTBQ}},
  note         = {Machine review of arXiv:2606.07091}
}
read the original abstract

Integrated sensing and communication (ISAC) enables sensing and communication (S&C) functionalities to share spectrum, hardware, and signal-processing resources, but the resulting inter-functionality interference creates a fundamental receiver-design challenge, particularly in uplink operation. This paper develops a rate-splitting (RS)-inspired framework for uplink near-field ISAC. The framework generalizes the sensing-centric (S-C) and communication-centric (C-C) endpoint orders of non-orthogonal multiple access (NOMA)-inspired ISAC by splitting the communication message across the sensing operation. Closed-form expressions are derived for the communication-rate (CR) and sensing-rate (SR), accounting for residual sensing interference from target-response estimation uncertainty. The achievable CR-SR rate region is characterized under sensing-matched illumination, where the proposed single-frame RS-inspired boundary contains the NOMA-inspired time-sharing region. Unlike the classical Gaussian uplink multiple access channel, where RS recovers the time-sharing dominant face, the split factor in uplink ISAC also reshapes the sensing-stage interference, allowing the RS-inspired boundary to match or strictly enlarge the S&C tradeoff. High-SNR analysis shows that, for non-aligned S&C channels, residual sensing interference changes the rate offsets but not the leading S&C slopes, whereas in the fully-aligned case it becomes slope-limiting. Using an aperture-aware near-field channel model, large-array limits are derived, showing that achievable rates remain finite as the array grows. Numerical results validate the analysis and demonstrate the benefits of the RS-inspired scheme, the impact of residual sensing interference, and the bounded large-array behaviour induced by physically consistent near-field modelling.

Figures

Figures reproduced from arXiv: 2606.07091 by the authors.

Figure 1
Figure 1. Rate-region comparison for weak-alignment case. [PITH_FULL_IMAGE:figures/full_fig_p009_1.png] view at source ↗
Figure 2
Figure 2. Rate-region comparison for strong-alignment cas [PITH_FULL_IMAGE:figures/full_fig_p009_2.png] view at source ↗
Figure 3
Figure 3. High-SNR behaviour with pc = ¯pcp and ps = ¯psp, with p¯c = 1, p¯s = 1025/10 , α = 0.5, and κ = 0.5. power, consistent with the rate-region setup in Table II. The intermediate RS split is fixed as α = 0.5, and the FDSAC bandwidth fraction is fixed as κ = 0.5. This fixed-α setting is used to directly validate the asymptotic expressions, rather than tracing an optimized rate-profile point [PITH_FULL_IMAGE:figures/ful… view at source ↗
Figures from the paper (1 more)
Figure 4
Figure 4. Figure 4: Large-array behaviour for a representative geome [PITH_FULL_IMAGE:figures/full_fig_p011_4.png]

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