Signal Processing · Cross-listed from math.OC
Operational Regimes in Non-Convex Optimization: A Multiplier-Based Taxonomy
Seyed Mohsen Kazemi, Ali Movaghar and Shaahin hessabi
This paper introduces a structural taxonomy for constrained non-convex optimization based on the signature of Lagrange multipliers at KKT stationary points. Leveraging a unified game-theoretic interpretation of eight classical
algorithm families–including block coordinate descent, ADMM, generalized Benders decomposition, successive convex approximation, interior-point methods, mirror descent, Frank-Wolfe, and Riemannian gradient descent–we show that the normalized multiplier vector carries an
algorithm-independent structural fingerprint. Four scale-free shape features of this vector partition the dual space into five operational regimes: Unconstrained, Resource-Limited, Saturation, Strongly-Coupled, and Hybrid. We establish four structural
theorems characterizing the partition: invariance under natural KKT
symmetries, local stability under data perturbation with explicit Lipschitz margins from Robinson's strong regularity, codimension-one regime transitions, and the topological identification of the Hybrid regime as the Lebesgue-null boundary of the core regimes. A linear-time classifier is proposed with provable guarantees on correctness, iteration stabilization, sample complexity, and online tracking under data drift. Numerical experiments on 104 mixed-integer nonlinear programs and a downlink beamforming instance validate the theoretical predictions. The framework provides a foundational tool for regime-aware
algorithm design and robustness analysis in non-convex optimization.
Read the full abstract ▾
Signal Processing
A Deep Iterative Refinement Receiver for OTFS Symbol Detection in Doubly-Dispersive Channels
Efe Ispir and Ian P. Roberts
Orthogonal time frequency space (OTFS) modulation has emerged as a promising candidate for high-mobility wireless communication systems due to the diversity it offers across both time and frequency. Reliable OTFS detection, however, remains challenging under doubly-dispersive channels, where delay and Doppler dispersion induce structured interference between transmitted symbols and complicate symbol recovery. To address these challenges, we propose a two-stage iterative OTFS detector that integrates a physics-informed learned initializer with an iterative refinement network, enabling progressively more accurate symbol estimates in doubly-dispersive channels. The initializer incorporates the known delay-Doppler input-output relationship to produce a robust first-stage estimate, while the refinement stage iteratively suppresses residual symbol interference in the delay-Doppler domain. Simulation results demonstrate that the proposed detector achieves consistent performance gains over conventional and existing learning-based detectors across a variety of channel conditions. These results highlight the effectiveness of incorporating known channel structure into the detection process and using iterative refinement for improved and robust OTFS detection.
Read the full abstract ▾
Signal Processing
Physiological Information Reliability: Cross-Layer Adaptive Resource Allocation for Cardiovascular Sensing
Navaneeth Krishnan Kamalakannan, Janakiraman Kamalakannan and Harinisri Velmurugan
Cardiovascular sensing systems must preserve clinically useful information despite signal degradation, wireless losses, energy constraints, and edge-computation latency. We introduce Physiological Information Reliability (PIR), a cross-layer framework that represents physiological information value jointly with wireless, energy, and computation states and uses a contextual bandit to adapt sensing and communication decisions. We integrate
multimodal ECG/PPG signal-quality estimation with physiological information value and an adaptive network-coding layer under burst-erasure conditions. Across controlled multiseed experiments, PIR-LinUCB demonstrates a promising low-energy operating point while maintaining medical latency constraints and competitive physiological estimation performance relative to fixed and heuristic policies. We analyze the resulting accuracy-energy-latency trade-offs and identify limitations of proxy PIV estimation and simulated communication dynamics. These results provide an initial computational demonstration of physiological-information-aware resource allocation and motivate future clinical and real-channel validation.
Read the full abstract ▾
Signal Processing · Cross-listed from cs.SD
XVAE-WMT: Explainable Wavelet-Temporal Variational Autoencoder for Blind Source Separation of Heart and Lung Sounds
Yasaman Torabi, Shahram Shirani and James P. Reilly
The separation of cardiovascular sounds is a critical task in biomedical signal processing. In this paper, we introduce XVAE-WMT1, an unsupervised explainable generative AI
algorithm combining a variational autoencoder (VAE) with explainable AI (XAI), wavelet-based inputs, a post-hoc output mask, and temporal consistency (TC) loss. Unlike existing supervised and VAE-based methods that rely on Short-Time
Fourier Transform (STFT) and ignore latent interpretability, XVAE-WMT requires no paired clean recordings and integrates a Continuous Wavelet Transform (CWT) front-end for superior time-frequency localization. We assessed the latent space interpretability via different metrics, with SHAP (SHapley Additive exPlanations) enabling dimensionality reduction to the top 75% of latent features while preserving separation quality. Evaluated across two
datasets using Signal-to-Distortion Ratio (SDR), Signal-to-Interference Ratio (SIR), and Signal-to-Artifacts Ratio (SAR), XVAE-WMT attains 26.8 dB SDR, 32.8 dB SIR, and 28.6 dB SAR.
Read the full abstract ▾
Signal Processing · Cross-listed from cs.IT
Local Private Information Retrieval for Graph-Based Replicated Systems
Shreya Meel, Mohamed Nomeir and Sennur Ulukus
We rethink the definition of
privacy in multi-server, graph-replicated private information
retrieval (PIR) systems, by introducing a novel setting where the user's
privacy is governed by the servers' storage structure. In classical graph-replicated PIR, the user retrieves a single message stored at the servers, while hiding the message index from each server. In our proposed
privacy setting, the user is concerned with hiding the message index from a particular server, only if that server stores the message being retrieved, and
privacy is not imposed otherwise. We coin this relaxed
privacy requirement as local user
privacy and the resulting PIR problem as local PIR on the graph. Our focus is on two-replicated PIR systems, where every message is replicated twice and stored on two distinct servers. Specifically, we study local PIR systems where the storage is represented by simple graphs, i.e., every pair of vertices is associated with at most one edge, and by their multigraph extension, i.e., $r$ parallel edges replace every edge. For these settings, we establish bounds on the local PIR capacity, defined as the maximum number of message symbols retrieved, per downloaded symbol. The local
privacy requirement yields significant capacity gain over the classical PIR capacity under the same storage structure. For instance, in settings where the graph is a disjoint union of multiple identical sub-graphs, the gain in the local PIR capacity over classical PIR capacity is multiplicative in the number of sub-graphs. Further, for connected graphs, we derive capacity lower bounds for edge-transitive and bipartite graphs, which are greater than the best-known PIR capacity bounds. From these and by establishing matching upper bounds, we exactly characterize the capacity for
star graphs, cyclic graphs, and path graphs with odd number of vertices. We introduce two local PIR schemes for general graphs.
Read the full abstract ▾
Signal Processing
Learning to deform the matched filter
Paul Anthony Haigh
Analytical signal-processing blocks are interpretable and reliable, but their optimality depends on assumptions that practical hardware and channels violate. Learned replacements can adapt, but often discard the structure that makes the original solution understandable. Here we introduce deformable matched filtering, a platform in which learning steers a bounded deformation of an explicit matched filter instead of replacing the waveform-processing path. In a hardware-in-the-loop optical wireless link, blind state descriptors drive causal, pilotless updates while payload samples, transmitted references, and condition labels remain outside the controller. Receiver deformation generalises across held-out signalling and channel conditions and remains ahead of a span-matched fractionally spaced equaliser after stationary convergence in most tested regimes. A transferable transmitter deformation reduces error-vector magnitude in all 144 held-out evaluations, whereas its additional value after receiver adaptation emerges principally under severe combined distortion. KAN, MLP, and linear controllers provide different condition-dependent advantages within the same filter structure. During 24 hours of uninterrupted changing-condition operation, bounded deformable receivers recover their original operating regime after severe intervening distortion while the persistent conventional equaliser accumulates destructive state. These results establish deformable analytical filters as a reusable middle ground between fixed theory and end-to-end learned signal processing.
Read the full abstract ▾
Signal Processing · Cross-listed from cs.IT
Semantic Freshness Optimal Sampling and Transmission for Gossiping Receivers
Irtiza Hasan and Ahmed Arafa
We study the optimal joint sampling and transmission policy for a transmitter communicating with two gossiping receivers that share information with each other, with the objective of tracking a source under the Version Age of Information (VAoI) metric. The transmitter can observe source-version changes, but it has to pay a sampling cost to get the current source information content. Similarly, it can communicate with a receiver by paying a transmission cost. Gossiping enables local information exchange and is able to reduce costly direct transmissions. With imperfect communication links, we formulate an infinite-horizon average-cost Markov Decision Process (MDP) to jointly minimize receiver VAoI, sampling cost, and transmission cost. Using Relative Value Iteration (RVI), we evaluate the optimal policy and establish several properties of its structure. We prove that sampling has a threshold structure in the transmitter VAoI. Among direct transmissions, it is optimal to serve the older receiver. We further characterize the transmit or idle decision through the receiver VAoI difference. Our analysis shows that link reliability and receiver VAoI imbalance have a significant effect on the optimal policy structure. Numerical results verify the structural properties and demonstrate the performance gains of the optimal policy over multiple baselines.
Read the full abstract ▾
Signal Processing
XAI2CSI: Interpreting CSI with eXplainable AI for Human Activity Recognition
Idio Guarino, Alfredo Nascita, Domenico Ciuonzo et al. (+2 more)
Wi-Fi Channel State Information (CSI) has emerged as a key enabler for device-free Human Activity Recognition (HAR), enabling low-cost, unobtrusive sensing using existing communication infrastructure. However, Deep Learning (DL) models trained on CSI data often struggle to generalize across users, environments, and device setups due to the context sensitivity of wireless propagation. Despite this challenge, limited
attention has been devoted to understanding model decisions and generalization failures. This paper introduces XAI2CSI, a framework that leverages eXplainable Artificial Intelligence (XAI) to analyze DL-based CSI sensing systems. XAI2CSI employs SAGE, a model-agnostic explainability method, to quantify temporal, spectral, and spatial CSI contributions to HAR decisions under nominal and cross-context evaluations on IEEE 802.11ax data. Our analysis reveals that the considered DL model exhibits limited robustness to unseen conditions due to an over-reliance on context-specific CSI patterns, causing models to misinterpret the underlying signal dynamics when deployment conditions change. The proposed methodology and findings provide a reference framework to explore alternative solutions and guide the development of robust, transparent Wi-Fi sensing systems.
Read the full abstract ▾
All authors Idio Guarino, Alfredo Nascita, Domenico Ciuonzo, Damiano Carra, Antonio Pescapé
Signal Processing
Semantic-Aware Sub-Band Allocation for Terahertz Communications
Fatima Ismail, Hadi Sarieddeen and Jihad Fahs
This paper studies semantic-aware sub-band al- location for terahertz (THz) communication systems, where frequency-selective molecular absorption creates highly non- uniform sub-band qualities. Unlike conventional formulations, semantic fidelity depends nonlinearly on the signal-to-noise ratio (SNR) and is also sentence-specific, leading to a non-separable assignment problem that is generally not solvable using simple ordering-based policies. To address this, we use a sentence-BERT (SBERT)-based surrogate model that predicts semantic fidelity from the sentence
embedding and sub-band SNR. We propose an importance-aware scheduler that assigns sentences to sub- bands based on their semantic contribution using an oracle utility function that captures importance-weighted semantic similarity across sentence-sub-band pairs. A neural scheduler is then trained through imitation learning to approximate the oracle policy at more than 200x lower runtime than full DeepSC- based oracle evaluation. Integrated with a deep-learning-enabled semantic communication (DeepSC) system, the proposed method consistently outperforms all
benchmark schemes and approaches oracle-level performance under realistic THz channel conditions.
Read the full abstract ▾
Signal Processing · Cross-listed from cs.SD
CoJEPA: Combining Contrastive Learning and JEPA for Global-Local Music Representations
Gabriel Meseguer-Brocal, Yuexuan Kong and Romain Hennequin
Joint-
Embedding Predictive Architecture (JEPA) has shown strong performance in learning rich representations through self-supervised prediction in latent space. However, it typically relies on teacher–student architecture with an EMA to stabilise training, and can tend to yield uninformative representations. Contrastive learning is stable to train and produces strong global representations, but remains limited on local tasks by the global nature of its objective. In this work, we combine both into CoJEPA: a single shared backbone jointly trained with a JEPA objective on masked sequence
tokens and a contrastive objective on the class
token. The contrastive gradient provides stability, removing the need for an EMA teacher entirely, while JEPA enriches the sequence
tokens via local predictions that contrastive learning alone cannot provide. Crucially, no extra parameters are added to the backbone: the same model is guided towards richer representations purely through the design of its training signal. CoJEPA takes the best of both worlds, outperforming or matching both individual methods across global and local MIR tasks, with a particularly strong advantage on tonal and harmonic understanding, and without any task-specific architectural changes. CoJEPA shows that combining objectives with complementary inductive biases can substitute for scale, encouraging future work to invest in smarter training objectives over ever-larger models.
Read the full abstract ▾
Signal Processing
SCI-D$^2$NN: An Optimization Framework for OAM-Multiplexed FSO Communications
Rui Deng, Renzhi Yuan, Xinyi Chu et al. (+5 more)
Orbital angular momentum (OAM) multiplexing can increase the capacity of free-space optical (FSO) communications, but its detection performance is strongly affected by impairments such as atmospheric
turbulence, transmitter pointing errors, and photodetection noise. The diffractive deep neural network (D$^2$NN) can be used as an all-optical front end to mitigate
turbulence-induced distortions before detection. However, existing D$^2$NN compensation schemes are not specifically optimized for communication detection. In this paper, we propose a supervised contrastive inspired D$^2$NN (SCI-D$^2$NN) framework for improving the detection performance of OAM-multiplexed FSO communications under these impairments. The proposed framework introduces two training branches: a projection branch that maps the optical field to low-dimensional decision domain samples, and a label branch that provides supervised labels to impose a separation constraint among decision domain samples. In addition, we characterize complex-amplitude crosstalk to obtain the receiver observation vector and formulate two detection schemes, namely single-port profile-likelihood detection and joint maximum-likelihood (ML) detection. We further design two SCI-D$^2$NN training losses called Bhattacharyya distance (BD) based loss and the ML based loss to improve decision domain separability and mitigate detection-performance degradation. Numerical results show that SCI-D$^2$NN achieves more than a 3-dB improvement in bit error rate (BER) over the conventional D$^2$NN baseline in most transmit-power regions. The BD based loss gives the lowest BER under different system parameters and provides more than a 10-dB BER improvement over the baseline in the high transmit power region.
Read the full abstract ▾
All authors Rui Deng, Renzhi Yuan, Xinyi Chu, Siming Wang, Chengzhi Liu, Zehao He, Haifeng Yao, Mugen Peng
Signal Processing
Intrinsic Scatterer Representation for Forward Scattering Modeling of Complex Radar Targets
Ziyu Yue and Feng Xu
Forward modeling of scattering centers of radar targets is critical for advanced information
retrieval of Synthetic Aperture Radar (SAR) images. Existing forward modeling approaches rely on meshing the target and computing scattering via ray-tracing techniques, which not only incur high computational cost but also discard the semantic information of target geometry, thereby limiting the interpretability of SAR imagery. To address these issues, this paper proposes a novel forward scattering modeling framework that directly constructs stable, compact, and physically meaningful scatterers from target geometry. This formulation decouples target representation from specific observation configurations, enabling an intrinsic scatterer description across varying viewing angles. Specifically, an improved Random Sample Consensus (RANSAC) scheme is first developed to robustly extract planes, cylinders, and spheres from target point clouds, yielding single-bounce scatterers. Potential multiple-bounce scatterers are then automatically detected by analyzing inter-primitive relations, and further refined through
geometric clipping and parameter
alignment to produce unique scattering representations compatible with canonical scattering center models. Finally, radar responses and SAR images can be generated under arbitrary observation configurations based on the constructed scatterers. The proposed method is validated through extensive experiments, including comparisons with electromagnetic simulations and measured data. The results show that it can accurately characterize the scattering behaviors of complex targets, providing an efficient, interpretable, and reliable solution for SAR image modeling and understanding.
Read the full abstract ▾
Signal Processing
Measurement of Liquid Water Content in Snow from Density-Insensitive Microwave Attenuation
Marco Niederberger, Sebastian Droz, Shaarujan Kamalanathan et al. (+3 more)
A measurement principle for determining
liquid water content (LWC) in snow is presented that does not require a priori knowledge or separate measurement of snow density. LWC affects the imaginary part of the effective permittivity of snow, which is linked to microwave attenuation along a microstrip transmission line embedded in the snowpack, independent of snow density. By analyzing the attenuation over a range of microwave frequencies, the corresponding LWC can be inferred. Full-wave simulations indicate a sensitivity of approximately 2 dB per % LWC,while experimental results confirm the insensitivity to snow density, highlighting the potential for remote snow characterization.
Read the full abstract ▾
All authors Marco Niederberger, Sebastian Droz, Shaarujan Kamalanathan, Michel A. Nyffenegger, Albert Loichinger, Hans-Dieter Lang
Signal Processing
Channel Gains to Captions: Task-Unified Multi-Level RF Sensing with Vision-Language Models
Tianyu Hu, Zhiren Gong, Haowei Cui et al. (+6 more)
This letter investigates a task-unified multi-level
radio-frequency (RF) sensing framework driven by
vision-
language models (VLMs). Existing RF sensing methods rely on task-specific designs and provide only partial environmental information, limiting their ability to handle emerging 6G applications. To address this, we propose a generative formulation for RF sensing, where millimeter-wave (mmWave)/terahertz (THz) channel gains are mapped to captions describing multi-level environmental semantics. The framework solves this problem through a complementary design for RF-environment semantic bridging, where a VLM is fine-tuned to leverage its
multimodal representations and
prompt-conditioned semantic generation capabilities. Hence, different sensing tasks are specified through textual
prompts, enabling the framework to handle diverse tasks in a unified manner. For fine-tuning, we introduce
prompt-routed low-rank adaptation (LoRA) experts to achieve level-aware adaptation. Simulation results show that, compared with baselines, our framework achieves superior performance with a broader semantic scope, and enables task-unified sensing beyond predefined tasks. Under an unseen sensing requirement, it achieves an average F1-score improvement of 0.17 over the most competitive variant.
Read the full abstract ▾
All authors Tianyu Hu, Zhiren Gong, Haowei Cui, Shuai Wang, Samson Lasaulce, Lingxiang Li, Wassim Hamidouche, Zhi Chen, Merouane Debbah
Signal Processing
Explainable deformable matched filtering reveals measurable departures from classical receiver theory in optical wireless communications
Paul Anthony Haigh
Matched filtering is a central result of communication theory, providing the optimal linear receiver when the received waveform satisfies specific assumptions. Practical communication systems rarely satisfy these assumptions, yet learned receivers that outperform the classical matched filter provide little insight into what those improvements reveal about the limitations of the underlying theory. Here we introduce an explainable deformable matched-filter framework in which machine learning is constrained to learn a low-dimensional deformation of the classical matched filter rather than replacing it. Because every learned correction is defined relative to the theoretical matched-filter solution, the deformation becomes a measurable representation of receiver mismatch rather than an unconstrained optimisation. The communication waveform remains processed entirely by the matched filter, while a Kolmogorov-Arnold Network predicts only the deformation from physically interpretable receiver-state descriptors. Using an optical wireless communication testbed spanning ten signalling formats, four impairment classes and 1,600 conditions, we show that learned deformations improve receiver performance, yielding a median relative error-vector-magnitude reduction of 18.1%, while revealing departures from classical matched-filter optimality. Different signalling families occupy distinct deformation regimes, spectral analysis identifies the physical mechanisms underlying receiver mismatch, and latent receiver-state organisation demonstrates that these departures are structured rather than arbitrary.
Read the full abstract ▾
Signal Processing
Doppler Effect in High-Mobility Free Space Optical Links with Multicarrier Intensity Modulation
Mahmudul Hasan Abid, Mohammad Ali Khalighi and Majid Safari
In this paper, we investigate the impact of Doppler-induced time scaling in intensity-modulation/direct-detection (IM/DD) multicarrier free-space optical links subject to high mobility. Modeling the Doppler effect as a single-sideband frequency shift applied to the analytic signal waveform, we show that it produces a baseband-equivalent phase rotation, resulting in a common-phase error (CPE), in addition to Dirichlet-kernel inter-carrier interference (ICI), even though the optical carrier phase is removed through photo-detection. The numerical results based on DC-biased optical orthogonal frequency-division multiplexing (DCO-OFDM), show that at small Doppler shifts, the CPE component dominates and can be effectively compensated through pilot-aided phase tracking, while the induced ICI remains rather negligible. At larger Doppler shifts, however, ICI becomes dominant and results in a bit-error-rate floor, highlighting the need for both CPE tracking and ICI mitigation. This is particularly relevant for optical links with small subcarrier spacing and large Doppler shifts, such as those in low-Earth-orbit satellite-to-ground and inter-satellite transmission scenarios.
Read the full abstract ▾
Signal Processing · Cross-listed from physics.app-ph
Bounds on Shaping Partially Coherent Microwaves with Programmable Scattering Systems
Philipp del Hougne
We derive bounds on manipulating partially coherent microwaves with programmable scattering systems. We first consider the concentration of power from a partially coherent input into a single output port and derive a prototype-aware bound by combining multiport network theory (MNT) with semidefinite relaxation (SDR). We then address general coherency-
matrix synthesis, deriving architecture-independent bounds on fidelity and useful strength, prototype-specific scalar refinements thereof, and fully prototype-aware SDR bounds on the useful-strength–fidelity Pareto frontier. The prototype-aware formulations account for mutual coupling, loss, discrete tunability, and static scattering. We evaluate the bounds on four experimental RIS-parametrized
MIMO systems with up to 100 1-bit-programmable elements, using proxy-MNT models estimated from measurements. The resulting bounds are generally tight compared with feasible discrete-optimization outcomes. Interestingly, for coherency synthesis, the simpler bounds can in some cases be tighter than the fully prototype-aware bounds, highlighting their complementarity. Our results provide certified limits for wave-domain processing and harvesting of partially coherent microwaves.
Read the full abstract ▾
Signal Processing · Cross-listed from cs.IT
On Diagonalizable Delay-Doppler Channels and Their Diagonalizing Waveforms
Sirui Li, Cheng Du and Yu Zhu
In doubly selective channels, the joint delay and Doppler dispersion generally induces coupling among transmitted symbols, thereby increasing receiver equalization complexity. Nevertheless, by using appropriately designed waveforms, channels with certain delay-Doppler (DD) supports can be diagonalized for one-tap equalization. The whole picture of such DD supports and their corresponding waveforms is still unclear, except for several examples identified in literature. In this paper, under cyclic-prefix (CP)-based block transmission and assuming that the modulation waveforms form an orthonormal basis, we identify all such channel supports by an elementary expression, and derive the corresponding waveforms in closed form.
Read the full abstract ▾
Signal Processing
Event-Inference Reliability for Physical AI over Wireless Networks
Anup Mishra and Petar Popovski
Wireless-enabled physical artificial intelligence (physical AI) systems call for a shift from reliable data delivery to reliable inference of physical events. The relevant question is not only whether packets arrive, but whether the set of cues available at the decision node, i.e., the evidence, is sufficiently timely and informative to support reliable inference about the event. Accordingly, this paper develops a framework in which event-inference reliability (EIR) is determined jointly by cue informativeness, cue availability, and temporal admissibility. The latter is determined by the downstream task requirement and represented through the usefulness horizon. We define event-inference error ratio (EIER) as the normalised residual event uncertainty after incorporating admitted cues, and EIR as the corresponding normalised uncertainty reduction, both conditioned on decision-node context. We further distinguish the evidence-limited Bayes
benchmark from operational performance of a particular inference engine and derive an
entropy-based lower bound on the minimum achievable event error from the same decision-node information. The framework then enables an event-aware wireless design interface for cue prioritisation, cue-reliability allocation, and event-inference coverage characterisation. A multiclass indoor activity-inference study combining empirical cue likelihoods with wireless delivery instantiates the framework and demonstrates how it characterises EIR under finite usefulness horizons.
Read the full abstract ▾
Signal Processing
Energy Efficiency in Microwave Linear Analog Computer (MiLAC)-Enabled Communications
Ahmed Magbool and Marco Di Renzo
Microwave linear analog computers (MiLACs) have emerged as a promising architecture for energy-efficient wireless communications by shifting signal processing from the digital to the analog domain using tunable impedance networks. Several MiLAC architectures have recently been proposed, including the single-layer MiLAC (SLM), two-layer MiLAC (TLM), and hybrid digital-MiLAC (HDM). In this paper, we investigate the energy efficiency (EE) of these architectures. Specifically, we formulate EE maximization problems for the SLM, TLM, and HDM architectures under transmit power, user rate, and architecture-specific constraints, and develop a dimensionality reduction technique with successive convex approximation (SCA)-based
algorithms to efficiently solve the resulting non-convex problems. We further derive a computationally efficient solution for EE maximization based on a search over only $(K+1)$ closed-form candidate solutions, where $K$ is the number of users, and analyze the asymptotic EE in the large-
antenna regime under negligible quantization noise. Our analysis shows that the EE of the SLM, TLM, and HDM architectures scales as $\ln(N)/N^2$, whereas conventional digital beamforming (DBF) scales as $\ln(N)/N$, where $N$ denotes the number of transmit
antennas. Despite these different scaling laws, the faster EE decay of MiLAC-based architectures becomes relevant only at very large
antenna dimensions, typically involving thousands of
antennas, while they maintain superior EE over practically relevant finite
antenna regimes. Finally, we derive an approximation of the number of
antennas required to achieve the maximum EE for each architecture and the corresponding EE. Simulation results show that, over practically relevant
antenna regimes, MiLAC-based architectures achieve substantially higher EE than conventional fully digital and hybrid analog-digital beamforming.
Read the full abstract ▾