REVIEW 10 minor 180 references
Cross Far- and Near-Field Beam Management Technologies in Millimeter-Wave and Terahertz MIMO Systems
T0 review · 0 major / 10 minor · reviewed 2026-08-16 · deepseek-v4-flash
Pith's one-line read Near-field and cross-field channels give beam management a distance axis that far-field beams lack, and this survey shows how scanning, CSI estimation, beamforming, and tracking must be redesigned to exploit it.
desk verdict A useful, honest survey of field-aware beam management; no new results, but the taxonomy holds and the central distance-resolution claim is sound. 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 central object is the distance-dependent phase of the array response, captured in the cross-field setting by the hybrid spherical- and planar-wave model (HSPM). HSPM models spherical-wave propagation between subarrays and planar-wave propagation within each subarray, giving a parameter count of $N_p(1+5K_rK_t)$ instead of the quadratic count of the full spherical-wave model. The paper uses this model to show that the FF approximation error grows with $\pi d^2 L_t L_r/(\lambda D_{11})$, and that HSPM stays accurate when the communication distance exceeds the Rayleigh distance of each subarray. The HSPM-based beam pattern then depends on both angle and distance, which is what makes near-field and cross-field beam management different from far-field beam management.
What would settle it
A channel measurement campaign at 0.3 THz with an ultra-large array (for example, 1024 elements) spanning distances from 5 to 40 meters could falsify the central claim: if the measured HSPM approximation error relative to the full spherical-wave channel does not stay small when each subarray lies within its own Rayleigh distance, or if subarray path gains and reflector sets are not shared, then the distance-domain beam management rationale loses its foundation.
Extended reading notes
Core claim
The central claim is that NF and CF channels provide additional resolution in the distance domain, and that this distance resolution is the key factor driving beam management design differences across propagation regimes. Whereas FF beams align along an angular direction, NF and CF beams focus at a specific position, meaning angle and distance are jointly resolved. This distinction propagates through every stage of beam management: codebooks must become polar or distance-aware, channel estimation must exploit spherical-domain sparsity, beamforming can separate users that share an angle but sit at different distances, and tracking must represent user position and velocity rather than just direction.
Load-bearing premise
The argument leans on the assumption that, in the hybrid spherical- and planar-wave model, different subarrays share the same reflectors and path-gain amplitudes and differ only in phase and the angles of departure and arrival; if real terahertz cross-field channels do not have this sharing structure, the cross-field channel representation and the beam-management conclusions built on it weaken.
Editorial extensions
If this is right
- Beam scanning codebooks for NF and CF links must cover both angle and distance, using polar-domain or hierarchical designs rather than angular-only far-field codebooks.
- Channel estimation in NF and CF must exploit spherical-domain or polar-domain sparsity; far-field angular-sparsity assumptions degrade as the Rayleigh distance grows.
- Beamforming with NF focusing beams can serve users at the same angle but different distances, which far-field steering beams cannot do without sacrificing signal power to one user.
- Beam tracking in NF and CF should represent the state with user position and velocity (curvature of arrival) rather than only angles and path gain.
- Extending far-field techniques to near-field and cross-field scenarios is possible but increases complexity, motivating unified, field-agnostic, low-overhead beam management strategies.
Reading between the lines
- Editorial: if the HSPM is validated by measurement, it could become a standard low-complexity cross-field channel model for terahertz system design, a step the paper points toward but does not itself propose.
- Editorial: the distance-resolution view suggests a testable benchmark: compare exhaustive, hierarchical, and ML-based scanning over a continuous range of distances crossing the Rayleigh boundary, rather than evaluating isolated FF and NF cases.
- Editorial: co-directional users separated in range could be served simultaneously with focusing beams, turning distance resolution into a multiplexing resource in dense indoor terahertz hotspots.
Signed reviews
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. This manuscript is a survey of beam management (BM) for millimeter-wave and terahertz massive MIMO, organized around propagation-field regimes. It introduces the spherical-wave (SWM), planar-wave (PWM), and hybrid spherical/planar-wave (HSPM) channel models, discusses their parameter counts and approximation errors, derives the corresponding beam patterns, and argues that near-field (NF) and cross-field (CF) beams provide resolution in both angle and distance, while far-field (FF) beams resolve angle only. The remainder of the paper reviews beam scanning, CSI estimation, beamforming, and beam tracking, classifying each by methodology and comparing how the techniques operate in FF, NF, and CF settings. The concluding claim is that the additional distance-domain resolution of NF/CF channels is a key factor that differentiates BM design across regimes.
Significance. The survey's central claim is well grounded. The exact SWM model in Section II-A1 and the beam-pattern expressions (18) and (24) show explicitly that NF/CF steering depends on distance as well as angle, and this is consistent with the cited near-field beam-focusing literature. The HSPM parameter-sharing assumption in Section II-A3 is acknowledged by the authors as awaiting measurement characterization in [25], and the main conclusion does not rest on that assumption. The taxonomy is useful, the comparison tables (Tables II–V) are a valuable reference, and the paper is unusually thorough in covering side-information-assisted and ML-based methods across all four BM functions. I found no internally inconsistent derivation that would undermine the paper's central qualitative message.
minor comments (10)
- [Section II-B, Fig. 5] The numerical values reported for the transition quantities (e.g., πd²LtsLrs/(λD11) ≈ 6.1×10⁻³ for 16 subarrays and πd²LtLr/(λD11) = 0.707 for Nt=Nr=1024 at 40 m) cannot be reproduced from the stated setting d=32λ under the definitions in Eq. (12); please reconcile the antenna-spacing parameter with the quoted numbers and report the full array and subarray geometry used in the simulations.
- [Section II-C, Eqs. (15)–(17)] The phase expression ∆Φ_i in Eq. (16) appears to have a unit or notation inconsistency with the extra factor d in e^{−j2πd/λ ∆Φ_i}; please clarify whether Γ and D are normalized by the antenna spacing or whether the factor d should be omitted.
- [Section II-A3] The claim that SWM and PWM are special cases of the HSPM at Kt=Nt, Kr=Nr and Kt=Kr=1 is correct in channel-matrix form, but the HSPM parameter count Np(1+5KrKt) does not reduce to the SWM parameter count 2NpNtNr in the former case; please clarify that the parameter-count comparison is intended for intermediate subarray partitions.
- [Section II-B] The error analysis is performed only for the line-of-sight path; the statement that the extension to NLoS paths follows a similar procedure should be accompanied by a brief explanation of how reflector-dependent angles enter the error, or should be explicitly marked as an open validation issue.
- [Abstract and Section I-C] The phrase 'building the basic through analyzing' should be rewritten as 'building the basics by analyzing'.
- [Fig. 2] The label 'Beam sacnning' should read 'Beam scanning'.
- [Section III, first paragraph] The phrase 'production of the codeword and the array response vector' should be 'product of the codeword and the array response vector'.
- [Section V-A] The phrase 'while strike achieving high spectral efficiency' should read 'while still achieving high spectral efficiency'.
- [Section V-C] The word 'catheterized' should be 'categorized'.
- [References] References [75] and [77] are the same Dovelos et al. paper, and references [161] and [162] appear to be the same conference paper; please merge the duplicates and renumber the citations accordingly.
Circularity Check
No circularity: the survey's central distance-resolution claim is derived from first-principles spherical-wave equations and the broader cited literature, not from fitted parameters or self-referential definitions.
full rationale
This paper is a survey rather than a derivation of a new quantitative result. Its central claim—that NF and CF channels offer additional resolution in the distance domain—is demonstrated directly from the channel models and beam-pattern equations in Sec. II: the PWM phase in Eq. (5) depends only on angles under the planar-wave approximation, while the SWM phase in Eqs. (1), (15)–(16) and the HSPM beam pattern in Eq. (24) contain explicit distance-dependent terms. The NF/CF beam-focusing illustrations in Fig. 6 are matched-filter constructions, so the location of maximum gain follows from the steering design, but this is standard array theory and is not presented as an empirical prediction. The HSPM in Sec. II-A3 is taken from the authors' prior work [22], yet the paper explicitly states that 'Detailed parameters in the HSPM need to be further characterized by channel measurement and analysis as studied in [25],' and Fig. 5 evaluates its accuracy against the ground-truth SWM. Thus the HSPM is used as a transparent modeling framework with stated assumptions, not as an unverified self-citation that forces the survey's conclusion. The remaining self-citations ([68], [86], [134], etc.) appear as examples in a literature review, which is normal and non-load-bearing. No fitted parameter is renamed as a prediction, no uniqueness theorem is imported from the authors' prior work, and no ansatz is smuggled in via citation. The paper's own limitation note about HSPM parameter characterization is a genuine caveat about future measurement work, not evidence of circularity.
Assumptions & free parameters
assumptions (4)
- domain assumption The planar-wave model is accurate when the normalized aperture-distance product pi d^2 Lt Lr / (lambda D) is much smaller than 1 and inaccurate when it approaches unity.
- domain assumption HSPM subarrays share common reflectors and equal path-gain amplitudes, with only direction-of-departure, direction-of-arrival, and phase differing across subarray pairs.
- domain assumption High-frequency millimeter-wave and terahertz channels are sparse with at most Np = 10 significant paths.
- domain assumption The Rayleigh distance 2 S^2 / lambda separates near-field and far-field propagation regions.
Cite this review
Pith. "Pith review of Cross Far- and Near-Field Beam Management Technologies in Millimeter-Wave and Terahertz MIMO Systems." pith.science (2026). https://pith.science/paper/ODKDK3D4
@misc{pith2026250418855,
author = {Pith},
title = {Pith review of: Cross Far- and Near-Field Beam Management Technologies in Millimeter-Wave and Terahertz MIMO Systems},
year = {2026},
howpublished = {\url{https://pith.science/paper/ODKDK3D4}},
note = {Machine review of arXiv:2504.18855}
}
read the original abstract
The evolution of wireless communication toward next-generation networks introduces unprecedented demands on data rates, latency, and connectivity. To meet these requirements, two key trends have emerged: the use of higher communication frequencies to provide broader bandwidth, and the deployment of massive multiple-input multiple-output systems with large antenna arrays to compensate for propagation losses and enhance spatial multiplexing. These advancements significantly extend the Rayleigh distance, enabling near-field (NF) propagation alongside the traditional far-field (FF) regime. As user communication distances dynamically span both FF and NF regions, cross-field (CF) communication has also emerged as a practical consideration. Beam management (BM)-including beam scanning, channel state information estimation, beamforming, and beam tracking-plays a central role in maintaining reliable directional communications. While most existing BM techniques are developed for FF channels, recent works begin to address the unique characteristics of NF and CF regimes. This survey presents a comprehensive review of BM techniques from the perspective of propagation fields. We begin by building the basic through analyzing the modeling of FF, NF, and CF channels, along with the associated beam patterns for alignment. Then, we categorize BM techniques by methodologies, and discuss their operational differences across propagation regimes, highlighting how field-dependent channel characteristics influence design tradeoffs and implementation complexity. In addition, for each BM method, we identify open challenges and future research directions, including extending FF methods to NF or CF scenarios, developing unified BM strategies for field-agnostic deployment, and designing low-overhead BM solutions for dynamic environments.
Figures
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Reference graph
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