REVIEW 3 major objections 4 minor 11 references
Towards Intelligent Antenna Positioning: Leveraging DRL for FAS-Aided ISAC Systems
T0 review · 3 major / 4 minor · reviewed 2026-08-10 · deepseek-v4-flash
Pith's one-line read A DRL-BCD framework that alternates convex beamforming with DDPG-based antenna positioning achieves higher communication rates than fixed-position antennas in multi-target ISAC, and scales to more users and targets.
desk verdict A plausible but under-verified DRL recipe for FAS-ISAC; Eq. (12) as printed has sign-reversed penalties, so the central performance claims are not supported as written. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The load-bearing object is the BCD decomposition of the original problem: for fixed antenna positions, the beamforming subproblem is convex in the transmit covariance matrix $U$ and is solved with a convex solver after relaxing the rank-one constraint, with Gaussian randomization restoring a rank-one solution; for fixed $U$, the position subproblem is recast as a Markov decision process whose state is the antenna coordinate vector plus three beamforming features (trace, largest eigenvalue, and mean eigenvalue of $U$), whose action is incremental position updates bounded within $\pm A/2$ for $A = 4\lambda$, and whose reward is the communication rate minus penalties for sensing-gain violations, power violations, and movement distance. The DDPG actor-critic, trained with Ornstein-Uhlenbeck exploration noise, learns a deterministic continuous positioning policy. This machinery converts an intractable joint optimization into alternating convex solves and policy-gradient updates that can execute in real time once trained.
What would settle it
Inspect the converged DDPG policy on a fixed set of channel realizations at a given SNR: record the achieved sensing gain $\varpi(p^{(k)})$ for each target $k$. If a non-negligible fraction of targets fall below the threshold $\Gamma$ while the reported communication rate remains high, then the reported rate is partly an artifact of the reward penalty, not a genuine sensing-communication trade-off. The same check applies to the rank-one reconstructed beamformer from Gaussian randomization, which may violate the sensing constraint (9f) even when the relaxed convex solution satisfies it.
Extended reading notes
Core claim
The central claim is that the joint non-convex problem of beamforming and antenna placement in a FAS-aided ISAC system can be decomposed into two alternating blocks: a convex transmit-covariance optimization, solved under a relaxed rank-one constraint, and an antenna-position Markov decision process solved by DDPG. Under a far-field channel model, the paper reports that the proposed DRL-BCD algorithm achieves higher average communication rates than a fixed-position antenna baseline across SNR values, with the gap persisting when multiple sensing targets are added. The paper also reports that adding more users increases maximum rates (for example, 27.6% higher at 30 dB with 12 antennas compared with a single user), and that the DRL policy generalizes to these larger setups.
Load-bearing premise
The paper's central claim depends on the untested assumption that the penalty term in the reward function really forces the DDPG policy to meet the required sensing strength $\varpi(p^{(k)}) \ge \Gamma$ for every target; the paper never reports the achieved sensing strengths or the penalty weights $\alpha_1, \alpha_2, \alpha_3$ and threshold $\Gamma$ it used.
Editorial extensions
If this is right
- In multi-target ISAC, communication rates improve versus fixed-position antennas even when the sensing workload grows, so antenna mobility is a degree of freedom worth exploiting.
- The BCD-DRL framework scales to more users and targets without redesigning the algorithm, because the DDPG state and action dimensions grow linearly.
- After training, antenna positioning decisions can be made in real time, unlike iterative alternating optimization, making the approach usable in fast-changing channel conditions.
- Continuous antenna repositioning outperforms discrete port selection, suggesting that fine-grained placement freedom is valuable.
Reading between the lines
- A natural next step is to verify sensing constraint satisfaction explicitly; if the penalty weights are large enough, the same reward-shaping recipe could serve as a generic solver for other continuous-placement multi-objective wireless problems.
- The far-field constant-AoA assumption holds only for small movement regions; testing with near-field or environment-dependent path parameters would reveal how much of the gain survives realistic propagation.
- Replacing the hand-tuned penalty weights with a constrained reinforcement learning update (for example a Lagrangian method) would remove the need to choose $\alpha_1,\alpha_2,\alpha_3$ and would make the claimed sensing-communication balance more robust.
Signed reviews
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper considers an integrated sensing and communication (ISAC) system in which a dual-functional base station equipped with fluid antennas (FAs) communicates with a user terminal and senses multiple radar targets. It formulates a joint transmit-covariance and antenna-position optimization problem (Problem (9)) and proposes a block coordinate descent (BCD) framework: for fixed antenna positions, the transmit covariance matrix U is obtained by solving a convex optimization problem (10) with CVX and, if needed, Gaussian randomization; for fixed U, the antenna positions are optimized by a deep deterministic policy gradient (DDPG) agent whose state includes positions and beamforming features, whose action is incremental antenna displacements, and whose reward is given by Eq. (12). Numerical results in Figs. 2 and 3 claim higher average and maximum communication rates than a fixed-position-antenna (FPA) baseline, and the authors further claim scalability to more users and targets. The central claim is that continuous FAS repositioning via DRL provides a practical way to balance communication and sensing in multi-target ISAC.
Significance. The topic is timely: FAS and ISAC are both active 6G research areas, and the specific problem of jointly optimizing beamforming and continuous antenna positions for multi-target sensing is not yet thoroughly explored. The convex beamforming subproblem is formulated and solved in a standard, correct manner, and the use of DDPG to handle the non-convex position subproblem is a plausible design choice that, if validated, could be useful for practical deployment. However, the evidence presented in the manuscript is currently insufficient to support the central claim. The reward function printed in Eq. (12) has penalty terms whose signs are reversed relative to the constraints, no sensing-gain or power-consumption values are reported to verify feasibility of the operating points, and the claimed scalability to multiple users is not backed by a multi-user formulation. These issues are fixable, but the manuscript as written does not substantiate the claimed communication-sensing balance.
major comments (3)
- [Section III-B1c, Eq. (12)] The reward function as printed is sign-reversed with respect to the constraints of Problem (9). The first penalty term is −α1 Σ_m max(0, ϖ(p^(m)) − Γ), which is zero when the sensing gain violates the constraint ϖ(p^(m)) ≥ Γ and positive when the constraint is satisfied with margin; the second penalty term is −α2 max(0, Pmax − Tr(U)), which is zero when the power constraint Tr(U) ≤ Pmax is violated and positive when it is satisfied. Thus the penalties vanish exactly on constraint violation, so an agent maximizing this reward is not optimizing the constrained problem (9) and may be encouraged to violate the sensing and power constraints. This contradicts the paper's own description in Section III-B1c, which states that the second term 'penalizes violations of the required sensing gain constraint.' If the implemented reward used the opposite signs, the manuscript must state this explicitly and correct Eq. (12); if the implementation matches the printed formula, the rate gains over FPA in Figs. 2 and 3 cannot be interpreted as evidence of a valid constrained solution.
- [Section IV, Tables/Figs. 2 and 3] The manuscript never reports the values of the reward weights α1, α2, α3, the sensing gain threshold Γ, or any achieved sensing gain ϖ(p^(k)) or transmit power Tr(U) at the reported operating points. These quantities are essential because the claimed 'balance' between communication and sensing rests on the assertion that constraint (9f) and (9e) are actually satisfied. Without verifying that the DRL policy meets the sensing-gain requirements, the higher average rates in Figs. 2 and 3 may simply reflect the agent's freedom to violate the sensing and power constraints. Please add a table or figure showing the achieved sensing gains and transmit powers (or their average/feasibility fractions) for the reported configurations, together with the exact values of α1, α2, α3, and Γ used in training.
- [Section II and Section III-B, multi-user claim] The system model, channel model, and optimization problem (9) are all formulated for a single user terminal (M = 1). Yet Eq. (12) contains a sum over m = 1, ..., M without defining M, and Fig. 3 reports results for M = 3 user terminals. The multi-user extension is mentioned only in a footnote and in the discussion of Fig. 3; no multi-user channel vector, rate expression, beamforming constraints, or problem formulation is provided. Consequently, the paper's scalability claim for 'additional users' is not mathematically supported. Either provide the full multi-user formulation and explain how the BCD-DRL algorithm is adapted to it, or restrict the scalability claims to the number of targets K rather than the number of users.
minor comments (4)
- [Section IV, DDPG hyperparameters] The paper gives some network and training parameters (buffer size 10000, mini-batch 64, target update τ = 0.001) but omits other essential DDPG hyperparameters, including the learning rates for actor and critic, the discount factor, the Ornstein-Uhlenbeck coefficients ξ and ς, and the number of training episodes. Please report the hyperparameter setting to make the results reproducible.
- [Figs. 2 and 3] The quantities 'Average Communication Rate' and 'Maximum Communication Rate' are not precisely defined; it is unclear whether the average is over random channel realizations, training seeds, or both, and what the maximum is taken over. Please define these metrics and include error bars or confidence intervals across multiple random seeds, as DRL training is sensitive to seed variability.
- [Section III-B1c, Eq. (12)] There is an unbalanced parenthesis in the first max term of Eq. (12): 'max(0, ϖ(p^(m)) − Γ' is missing a closing parenthesis. Also, the variable M is used in Eq. (12) but is not defined in the problem formulation; if it denotes the number of user terminals, a definition should be given before first use.
- [Throughout] There are several typographical errors that should be corrected, including 'receiever' in Section II-B, 'constrants' in Section III-B1c, and 'trade-sff' in the title of reference [9]. Additionally, the paper only compares against an FPA baseline; a comparison with at least one other movable-antenna or FAS position-optimization baseline (e.g., the iterative method of [8] or a random search) would strengthen the claim of superiority.
Circularity Check
No circular derivation: the DRL-BCD results are direct simulation outputs against a fixed-antenna baseline, with no fitted parameter masquerading as a prediction.
full rationale
The paper's claimed contribution is algorithmic: a BCD loop in which the transmit covariance U is updated by CVX for fixed antenna positions, and the positions are updated by a DDPG policy trained on the reward in Eq. (12). The reported rate curves in Figs. 2-3 are simulated evaluations of that loop, not quantities derived from the model's inputs by construction. The reward includes the communication rate R, so the agent is explicitly trained to maximize a proxy containing R; this is standard RL-based optimization and does not make the later report of R circular, because the meaningful comparison is to the FPA baseline under the same channel model, which is an independent fixed-position benchmark not encoded in the training reward. No fitted parameter is renamed as a prediction: the only learned quantities are DDPG network weights and the CVX-optimized U, both used as optimization variables. Self-citations [3], [4], and [8] provide background and a comparison baseline, not an imported uniqueness theorem or ansatz, so they are not load-bearing. The principal evidentiary weakness is not circularity: Eq. (12) as printed has max(0, varphi - Gamma) and max(0, Pmax - Tr(U)) terms that are positive when constraints are satisfied and zero when violated, and the paper does not report alpha1, alpha2, alpha3, Gamma, or achieved sensing gains. That is a gap in support for the claim that the reported operating points satisfy (9f), but it is a correctness or validation issue rather than a reduction of a prediction to its inputs.
Assumptions & free parameters
free parameters (3)
- Reward weights alpha1, alpha2, alpha3 =
not specified
- Sensing gain threshold Gamma =
not specified
- DDPG hyperparameters (learning rates, discount factor, OU coefficients xi and sigma) =
not specified
assumptions (4)
- domain assumption Far-field channel model with constant AoAs/AoDs across the antenna movement region.
- domain assumption The path response matrix Sigma is diagonal with specified Rician factor tau=1 distribution.
- standard math Gaussian randomization recovers a near-optimal rank-one solution from the relaxed SDR solution.
- ad hoc to paper The reward shaping in Eq. (12) is an adequate surrogate for the constrained problem (9).
Cite this review
Pith. "Pith review of Towards Intelligent Antenna Positioning: Leveraging DRL for FAS-Aided ISAC Systems." pith.science (2026). https://pith.science/paper/7HCOIWTS
@misc{pith2026250101281,
author = {Pith},
title = {Pith review of: Towards Intelligent Antenna Positioning: Leveraging DRL for FAS-Aided ISAC Systems},
year = {2026},
howpublished = {\url{https://pith.science/paper/7HCOIWTS}},
note = {Machine review of arXiv:2501.01281}
}
read the original abstract
Fluid antenna systems (FAS) enable dynamic antenna positioning, offering new opportunities to enhance integrated sensing and communication (ISAC) performance. However, existing studies primarily focus on communication enhancement or single-target sensing, leaving multi-target scenarios underexplored. Additionally, the joint optimization of beamforming and antenna positions poses a highly non-convex problem, with traditional methods becoming impractical as the number of fluid antennas increases. To address these challenges, this letter proposes a block coordinate descent (BCD) framework integrated with a deep reinforcement learning (DRL)-based approach for intelligent antenna positioning. By leveraging the deep deterministic policy gradient (DDPG) algorithm, the proposed framework efficiently balances sensing and communication performance. Simulation results demonstrate the scalability and effectiveness of the proposed approach.
Figures
Reference graph
Works this paper leans on
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[8]
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[9]
Shifting the ISAC trade-sff with fluid antenna systems,
J. Zou et al. , “Shifting the ISAC trade-sff with fluid antenna systems,” arXiv preprint, arXiv:2405.05715v1, 2024
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[10]
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Reviewed August 10, 2026 · model on record in the stance chip above.
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