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arxiv: 2605.21729 · v1 · pith:CYUBPVZXnew · submitted 2026-05-20 · 📡 eess.SP

Rate-Splitting--Inspired Bistatic OFDM-ISAC

Bruno F. Costa , Anup Mishra , Israel Leyva-Mayorga , Taufik Abr\~ao , Petar Popovski This is my paper

Pith reviewed 2026-05-22 08:37 UTC · model grok-4.3

classification 📡 eess.SP
keywords rate splittingISACOFDMbistatic sensinginterference managementpower allocationFisher informationspectral efficiency
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0 comments X

The pith

Rate splitting of communication messages over sensing signals enables better interference management in bistatic OFDM-ISAC systems.

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

The paper establishes a rate-splitting framework for uplink bistatic OFDM integrated sensing and communication that addresses interference from unequal direct and echo paths plus Doppler-induced effects. Each communication message is split into a robust stream and a supplementary stream that are superposed with the sensing signal at the transmitter. A staged receiver processes the combined signal to produce tractable per-subcarrier SINR expressions and a Fisher-information link between sensing accuracy and communication reliability. These relations support a joint power-allocation optimization that maximizes spectral efficiency subject to sensing and power limits, solved via convex surrogates and fractional programming. The resulting design is claimed to outperform NOMA baselines in inter-frame interference control and Doppler robustness.

Core claim

The central claim is that splitting each communication message into robust and supplementary streams, jointly superposed with the sensing signal, together with a staged sensing-communication receiver, yields tractable per-subcarrier SINR expressions and a Fisher-information relation between sensing accuracy and communication reliability. This foundation permits formulation and solution of a non-convex joint power-allocation problem that maximizes spectral efficiency under sensing-performance and total-power constraints, delivering more effective IFI management and greater robustness to Doppler-induced ICI than NOMA-inspired baselines.

What carries the argument

The rate-splitting superposition of robust and supplementary communication streams onto the sensing signal, paired with the staged receiver that jointly extracts sensing and communication metrics.

If this is right

  • Tractable per-subcarrier SINR expressions are available for system analysis and optimization.
  • Sensing accuracy and communication reliability are linked through Fisher information for joint design.
  • A solvable power-allocation problem yields spectral-efficiency gains under explicit sensing and power constraints.
  • Inter-frame interference is managed more effectively than with NOMA-style successive cancellation.
  • Robustness to Doppler-induced inter-carrier interference improves relative to orthogonal or fixed-SIC baselines.

Where Pith is reading between the lines

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

  • If the staged receiver assumptions hold, the same splitting logic could be tested on other high-mobility waveforms such as OTFS-ISAC.
  • The optimization technique based on convex surrogates and fractional programming may transfer directly to similar non-convex resource-allocation problems in multi-user ISAC.
  • Real-world validation would require checking whether hardware impairments preserve the reported Fisher-information relation between sensing and communication performance.

Load-bearing premise

The staged receiver can jointly decode the superposed streams to produce the claimed tractable per-subcarrier SINR expressions and Fisher-information relation without large unmodeled cross-interference or estimation errors.

What would settle it

A measurement campaign or simulation in which the observed per-subcarrier SINR deviates substantially from the derived closed-form expressions under realistic Doppler spreads and unequal path gains would falsify the tractability and interference-management claims.

Figures

Figures reproduced from arXiv: 2605.21729 by Anup Mishra, Bruno F. Costa, Israel Leyva-Mayorga, Petar Popovski, Taufik Abr\~ao.

Figure 1
Figure 1. Figure 1: Uplink bistatic ISAC geometry. The relative velocities [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Proposed RS-inspired staged receiver at the BS: the DP radar sequence is cancelled, the robust stream ( [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Convergence profile of the proposed RS-inspired [PITH_FULL_IMAGE:figures/full_fig_p010_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Power allocation across different architectures. [PITH_FULL_IMAGE:figures/full_fig_p010_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Average SE vs. ∆GDP-EP, comparing the RS-inspired against NOMA-CF and NOMA-SF. deteriorates because echo estimation becomes less reliable and reconstruction errors translate into residual interference after cancellation. The RS-inspired framework, however, maintains a strictly positive performance gap throughout the entire sweep. Near ∆GDP-EP ≈ 25 dB, the two NOMA-inspired baselines achieve nearly identica… view at source ↗
Figure 6
Figure 6. Figure 6: SE gain of RS-inspired framework over baselines for [PITH_FULL_IMAGE:figures/full_fig_p011_6.png] view at source ↗
Figure 9
Figure 9. Figure 9: SE gain of RS-inspired over baselines envelope. [PITH_FULL_IMAGE:figures/full_fig_p012_9.png] view at source ↗
Figure 8
Figure 8. Figure 8: SE gain of the RS-inspired over NOMA-inspired vs. [PITH_FULL_IMAGE:figures/full_fig_p012_8.png] view at source ↗
read the original abstract

Achieving effective uplink bistatic ISAC over an OFDM waveform gives rise to challenging interference structures. These are mostly due to unequal direct- and echo-path contributions and Doppler-induced ICI, rendering orthogonal resource separation and fixed SIC strategies inadequate. To address this problem, we propose a RS-inspired framework where the transmitter splits each communication message into a robust and a supplementary stream, which are jointly superposed over a sensing signal. Furthermore, we present the design of a staged sensing-communication receiver. Based on this framework, we derive tractable per-subcarrier SINR expressions and establish the relation between sensing accuracy and communication reliability based on the Fisher information. Building on these, we formulate a joint power-allocation problem for SE maximization under sensing-performance and power constraints. The resulting non-convex formulation is solved using convex surrogates and fractional programming. Numerical results demonstrate that, compared to NOMA-inspired baselines, the proposed framework provides more effective IFI management and improved robustness to Doppler-induced ICI.

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

1 major / 2 minor

Summary. The manuscript proposes a rate-splitting-inspired framework for uplink bistatic OFDM-ISAC. Each communication message is split into robust and supplementary streams that are superposed with a sensing signal. A staged sensing-communication receiver is designed, from which tractable per-subcarrier SINR expressions and a Fisher-information relation between sensing accuracy and communication reliability are derived. A joint power-allocation problem maximizing spectral efficiency under sensing-performance and total-power constraints is formulated and solved via convex surrogates together with fractional programming. Numerical results claim more effective inter-stream interference management and improved robustness to Doppler-induced ICI relative to NOMA-inspired baselines.

Significance. If the SINR expressions and Fisher-information relation hold without material omitted cross terms, the work supplies a principled way to jointly manage communication-sensing trade-offs in bistatic OFDM-ISAC by exploiting rate splitting. The convex-surrogate solution and explicit per-subcarrier analysis constitute concrete technical contributions that could inform practical waveform and resource-allocation designs in dynamic environments.

major comments (1)
  1. [§III and §IV] §III (Staged Receiver) and §IV (SINR Derivation): The central claims of superior IFI management and Doppler robustness rest on the staged receiver yielding closed-form per-subcarrier SINR expressions that contain no significant residual cross-interference from the supplementary stream or sensing signal after the sensing-first stage. Under Doppler spread and unequal direct/echo path gains, any unmodeled residual term that scales with velocity or power split would render the subsequent Fisher-information relation and the surrogate power-allocation objective optimistic; an explicit cancellation analysis or bounding argument for these residuals is therefore required.
minor comments (2)
  1. [Numerical Results] Figure captions and axis labels in the numerical-results section should explicitly state the Doppler spread values and path-gain ratios used, to allow direct reproduction of the reported robustness gains.
  2. [Abstract] The abstract would benefit from a single quantitative statement of the observed SE or sensing-metric improvement (e.g., “X % higher SE at Y dB SNR”) rather than a purely qualitative claim.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the constructive and detailed review of our manuscript. The major comment identifies a key aspect of the analysis that merits further clarification and strengthening. We address the point below and have revised the manuscript accordingly.

read point-by-point responses

  1. Referee: [§III and §IV] §III (Staged Receiver) and §IV (SINR Derivation): The central claims of superior IFI management and Doppler robustness rest on the staged receiver yielding closed-form per-subcarrier SINR expressions that contain no significant residual cross-interference from the supplementary stream or sensing signal after the sensing-first stage. Under Doppler spread and unequal direct/echo path gains, any unmodeled residual term that scales with velocity or power split would render the subsequent Fisher-information relation and the surrogate power-allocation objective optimistic; an explicit cancellation analysis or bounding argument for these residuals is therefore required.

    Authors: We thank the referee for this observation. In the staged receiver of §III, the sensing signal is estimated and subtracted first using its known structure, after which the robust stream is decoded and subtracted before decoding the supplementary stream. The per-subcarrier SINR expressions in §IV are obtained after these successive cancellations, with any uncancelled components treated as additional noise. We agree that an explicit treatment of residuals under Doppler spread and unequal path gains strengthens the claims. In the revision we have added a new subsection (IV-C) together with Appendix B that derives an upper bound on the residual interference power. The bound scales with the maximum Doppler frequency and the power split ratios and is folded into the effective SINR and the Fisher-information matrix. Consequently the power-allocation problem remains a conservative formulation. Updated numerical results with higher Doppler spreads confirm that the performance advantage over the NOMA baselines is preserved. revision: yes

Circularity Check

0 steps flagged

Derivation chain is self-contained; no reductions to inputs by construction

full rationale

The paper introduces an RS-inspired superposition of robust/supplementary streams over a sensing signal, then derives per-subcarrier SINR expressions and a Fisher-information relation directly from the staged receiver processing and OFDM signal model. The subsequent power-allocation problem is solved via standard convex surrogates and fractional programming; these are algorithmic techniques, not fitted parameters renamed as predictions. No self-citation is invoked as a uniqueness theorem or load-bearing premise, and no ansatz is smuggled in. Numerical comparisons to NOMA baselines provide external validation rather than internal closure. The central claims therefore rest on explicit derivations from first principles rather than tautological re-expression of the inputs.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

Based solely on the abstract, the central claim rests on standard OFDM and rate-splitting assumptions plus new receiver staging; no explicit free parameters or invented entities are named, but power allocation optimization likely involves tunable factors.

free parameters (1)
  • power allocation factors
    Used in the joint power-allocation problem for SE maximization under sensing and power constraints.
axioms (1)
  • domain assumption Tractable per-subcarrier SINR expressions exist and relate to Fisher information for sensing accuracy
    Invoked when deriving expressions and establishing sensing-communication relation.

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