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Table of Content

    28 October 2026, Volume 54 Issue 5
    Expert Manuscript
    Development of Acoustic Early Warning Technology for Low-altitude UAV Swarms
    Wenjie WANG, Yuzhi NIU, Xicang SUN, Zi WANG, Jingyu HE, Yanjie HOU, Qiang ZHI, Jiuwen YANG
    2026, 54(5):  1-17.  doi:10.3969/j.issn.1009-086x.2026.05.001
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    Low-altitude UAV swarms, characterized by low cost, easy deployment, and cooperative penetration, are progressively degrading the early-warning and response effectiveness of low-altitude defense systems. Radar, electro-optical and radio-frequency surveillance may have detection blind spots in scenarios involving low-altitude masking, complex electromagnetic environments and radio-silent flight, whereas acoustic early warning provides a passive, covert and flexibly deployable complement. Coordinated multi-UAV flight causes harmonic overlap, sound-field mixing and accumulated localization errors, which complicate source separation, direction finding and situation generation. This paper synthesizes research progress in acoustic signatures, system architectures, array front ends, robust recognition, multi-target sound source separation and localization, distributed networking and multimodal fusion. It further outlines a distributed integrated acoustic-optical-electronic-magnetic early-warning architecture, providing support for the development of an all-domain, three-dimensional collaborative early-warning technology system for low-altitude UAV swarms.

    REVIEW ARTICLE
    Review on Development of Integrated Waveform Technology for Detection, Positioning, and Communication of Aircraft Swarm
    Likun YAN, Qingfu JIANG
    2026, 54(5):  18-31.  doi:10.3969/j.issn.1009-086x.2026.05.002
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    As a new type of combat mode in the future battlefield environment, aircraft swarm combat is faced with the problems of satellite navigation denial, electromagnetic interference, and the contradiction between multiple functions of detection, positioning, and communication and low size, weight, and power consumption (SWaP). The key to solving these problems is to design an efficient integrated detection, positioning, and communication waveform, which can be used to obtain the relative space-time relationship between the aircraft within the swarm and that between the swarm and the non-cooperative target. This paper reviews the development stage and trend of detection, positioning, and communication integration technology, and summarizes the multi-functional integrated waveform technology systems and research status for swarm applications. The application scenarios, the performance of several existing integrated waveforms, and their improvement methods are analyzed. The applicable scenarios are summarized for each waveform based on its performance, and the future potential development directions in this field are prospected with the aim of providing guidance for the design of integrated waveform of swarm detection, positioning, and communication.

    PAPERS
    A Brief Analysis of the Application of Machine Learning in Intelligent Decision-Making Systems for Tactical Missiles
    Quan WEN, Haotian WANG
    2026, 54(5):  32-46.  doi:10.3969/j.issn.1009-086x.2026.05.003
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    To meet the demand for intelligent decision-making in tactical missiles operating in complex battlefield environments, this study examines the potential applications of classical machine learning techniques in missile intelligent decision-making systems. The discussion centers on four core tasks: target recognition and threat assessment, trajectory prediction of highly maneuverable targets, ballistic time-series data analysis, and system health management. The fundamental principles of twelve classical machine learning algorithms are introduced, along with their applicability and deployment advantages in tactical missile embedded systems. The engineering feasibility of these algorithms under data scarcity, limited resources, and stringent real-time requirements is also analyzed. Furthermore, fusion-based approaches that integrate multiple methods are proposed, providing practical pathways for applying these algorithms to machine learning-based intelligent decision-making systems for tactical missiles.

    Highly Reliable Replacement Technology Based on Mimic Defense
    Jiansu FU, Xinhua XUE, Yang CHEN, Qiuhan TENG
    2026, 54(5):  47-62.  doi:10.3969/j.issn.1009-086x.2026.05.004
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    The reliability of traditional command and control systems is usually improved by system-level approaches such as a single device or an application cluster. However, there is relatively little research on the insufficient reliability of command and control systems in the face of uncertain threats caused by unknown vulnerabilities and backdoors. This study proposes a mimic defense framework for replacement command based on the dynamic heterogeneous redundancy (DHR) architecture by combining the mimic defense theory with the replacement command technology, applies it to the command and control system, and embeds the capabilities of “uncertainty” and “endogenous security” into the system. It enhances the system’s security and reliability at both the system and architecture levels, thereby effectively resisting attacks exploiting unknown vulnerabilities. The simulation results show that the framework effectively improves the reliability of the command and control system.

    Distributed Formation Control Method for Multiple Aircraft Considering Communication Delay
    Wei LI, Jiazhong ZHANG, Chengcai MENG, Jie LIU, Xingji HE
    2026, 54(5):  63-76.  doi:10.3969/j.issn.1009-086x.2026.05.005
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    To address the configuration control problem of a formation system formed by multiple aircraft, considering both the long-range target detection requirements and the impact of system communication delays, this paper proposes a formation control method in the line-of-sight (LOS) coordinate system. Based on typical operational mission scenarios, the formation control objectives are clarified, and detection configuration constraints are analyzed. A mathematical model is established for tracking control of the formation system, and the coupled formation tracking error vector is derived for each member in the system. Based on the adaptive sliding mode control theory, the system formation control law is developed. A sliding mode disturbance observer is employed to estimate system disturbances for compensation design within the control law. The finite-time convergence property of the algorithm is rigorously proven. Initial simulation parameters are provided, and a spatial configuration satisfying the detection constraints is designed. The effectiveness of the proposed control method is verified through extensive mathematical simulations. The results demonstrate that the proposed control method effectively suppresses the influence of system communication delays and external disturbances, ensuring the system forms and maintains the desired spatial configuration in the LOS coordinate system within a finite time.

    Dynamic Operation Mechanism of Defense Systems for Distributed Resilient Command and Control Architecture
    Jidong SUN, Xiaobo LI, Chenglong ZHANG, Jie ZHANG, Hao ZHANG
    2026, 54(5):  77-91.  doi:10.3969/j.issn.1009-086x.2026.05.006
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    This paper studies resilience of the dynamic operation mechanism of military defense systems, analyzes and understands the concept of resilience from the perspectives of invulnerability and recoverability, and focuses on the impact of resilience on the effectiveness of defense systems under continuous strike scenarios. A resilience indicator system is proposed for online kill chain construction and kill web reconfiguration of defense systems. A partially distributed command and control architecture and a dynamic resilience mechanism for defense systems are designed. Simulation experiments are conducted to instantiate the proposed dynamic resilience mechanism of defense systems. The feasibility and effectiveness of the research and design in this paper are verified.

    OODA Loop Decision-Making Method Based on an Improved Lanchester Equation and Its Assessment of Combat Effectiveness
    Qining FENG, Jiateng CHEN, Chao ZHANG, Peng YU, Huifeng KANG
    2026, 54(5):  92-101.  doi:10.3969/j.issn.1009-086x.2026.05.007
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    The classical Lanchester equations, formulated as a set of ordinary differential equations, describe the continuous mutual attrition of opposing forces in intense confrontation over time under deterministic or stochastic conditions, thereby enabling dynamic assessment of combat effectiveness. To enhance the performance of the observe-orient-decide-act (OODA) loop in anti-UAV air defense systems, and to address the insufficient decision-making speed and strike efficiency under UAV swarm saturation attacks, this paper proposes an OODA loop decision-making method based on an improved Lanchester equation. The proposed approach incorporates an information factor, a damage efficiency factor, and a fire allocation weight factor into the traditional Lanchester equation to construct a multi-arm, multi-target confrontation modeling framework. Real-time battle damage assessment results are utilized to dynamically adjust the target allocation weights, which achieves optimal allocation of fire resources. Simulation experiments using a representative anti-UAV operational scenario demonstrate that the method significantly increases the damage rate of red forces against blue UAV swarms, reduces force attrition, and improves combat effectiveness.

    Sparse Reconstruction of Space Target RCS Based on Spherical Gaussian Radial Basis
    Mingshan WEI, Qing LÜ, Gang QUAN, Guanghua LIU
    2026, 54(5):  102-112.  doi:10.3969/j.issn.1009-086x.2026.05.008
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    Radar cross section (RCS) is a critical technical approach in the field of space target recognition, yet single-track RCS observations struggle to comprehensively characterize target properties due to limited viewing angles. To address the sparsity of multi-track RCS data acquired by a monostatic radar for unknown targets, this study draws inspiration from the idea of regionalized sparse reconstruction interpolation used for geographic information such as elevation and establishes a distribution model of target RCS using spherical radial basis functions (SRBFs). The generalized cross-validation (GCV) criterion is adopted to optimize the bandwidth factor of Gaussian basis functions, achieving the reconstruction of target region RCS from sparse multi-track measurements. This research provides a theoretical foundation for feature-level fusion of multi-perspective RCS data, offering practical guidance for the construction of space target signature databases and their applications in target recognition.

    An Imaging Optimization and Verification Method for Ultra-Short-Range Systems
    Ziqi XIA, Yuzhao LI, Kang ZHAO, Tianqian GAO, Yan LIU, Xu HE
    2026, 54(5):  113-121.  doi:10.3969/j.issn.1009-086x.2026.05.009
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    In complex modern battlefield environments, ultra-short-range synthetic aperture radars (SARs), operating at a high speed, place increasingly stringent demands on imaging efficiency and resolution. The balance between these two factors becomes the key to imaging of ultra-short-range systems. Therefore, an imaging optimization and verification method based on the back projection (BP) algorithm is proposed for ultra-short-range systems under the recognition-efficiency-resolution (RER) framework. Through a three-stage approach of threshold establishment, scene adaptation, and parameter optimization, a balance is achieved among target recognition accuracy, imaging efficiency, and resolution: The minimum usable resolution is determined based on the target recognition accuracy requirements; under the premise of giving priority to ensuring the imaging efficiency of the ultra-short-range system, the optimal parameter combination that satisfies the recognition accuracy is selected using a comprehensive evaluation function. In the terahertz band, a corresponding relationship among recognition accuracy, imaging efficiency, and resolution is established through digital simulations, and the optimal parameter combination is selected according to the results of the comprehensive evaluation function. Further, the effectiveness of this method is verified through actual model tests. By introducing the comprehensive evaluationfunction, the proposed method converts the trade-off between imaging efficiency and resolution into a controllable and quantifiable problem, providing a practical solution that bridges theoretical algorithms with engineering application for SAR imaging of ultra-short-range systems, and thereby effectively enhancing the target detection, recognition, and precision strike capabilities of weapon equipment in complex environments.

    Evaluation of Combat Scenario Model for Missile Anti-jamming Tests
    Dan LIU, Zhenheng QI, Guidong SUN
    2026, 54(5):  122-136.  doi:10.3969/j.issn.1009-086x.2026.05.010
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    Missiles are core weapons and equipment in the modern national defense system. Their technical levels and combat effectiveness are directly related to a country’s strategic deterrence capability, initiative to control the battlefield, and even bottom line of national security. According to the requirements of the combat scenario model for missile anti-jamming tests, following a series of core principles such as systematicness, practicality, stability, and dynamics, this study constructs an indicator system for evaluating the scenario model. The credibility of the model is evaluated by using the analytic hierarchy process (AHP) and the consistency ratio (CR) weighting method. Through standardized indicator quantification and weighted calculation, the adaptability of the model output results to actual requirements is ensured. Ultimately, a full-chain trusted closed loop from data input to decision output is achieved. This research provides a basis for missile anti-jamming tests.

    An Elevation Angle Estimation Method for Radar Targets at Low Elevation Angle and Its Precision Analysis
    Hao JIN, Zhuangzhuang TIAN, Shuai CHEN, Yilong SHEN
    2026, 54(5):  137-142.  doi:10.3969/j.issn.1009-086x.2026.05.011
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    Radar, serving for remote viewing in modern warfare, critically determines the combat effectiveness of radar systems through its detection precision. Current new system radar is capable of achieving three-dimensional high-precision measurement and tracking of targets. However, due to factors such as the multipath effects of the ground or sea surface, especially for low-frequency-band radars, the elevation angle measurement precision for targets at a low elevation angle remains significantly compromised. Some radars improve the elevation angle measurement precision for targets at a low elevation angle by designing ultra-wideband signals, frequency agility signals, and beamspace, which increases hardware costs, raises algorithm complexity, and still cannot completely avoid the multipath effects of the ground or sea surface. This paper first proposes an elevation angle estimation method for radar targets at a low elevation angle and analyzes its estimation precision. Without special waveforms or parameter design, the method estimates the elevation angle directly with information such as target distance, delivering high estimation precision and easy implementation. Subsequently, simulation experiments are conducted on the method, verifying its effectiveness, feasibility, and variation patterns of estimation precision. Finally, the applicable scenarios of the method are summarized.

    A Computational Model for Enhancing Telemetry Tracking Arcs for Low-Altitude Aircraft
    Jie WANG, Hongjie JIANG, Jiewu TANG, Yangyang LIN, Guangxin WEI
    2026, 54(5):  143-151.  doi:10.3969/j.issn.1009-086x.2026.05.012
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    To overcome the difficulty in telemetry tracking of low-altitude aircraft operating in complex terrains with high maneuverability, this paper proposes a computational model to enhance the telemetry tracking arcs of low-altitude aircraft. High-resolution terrain elevation data and aircraft trajectories are integrated to calculate tracking elevation angles and path shielding angles of ground stations by traversing within a spherical Earth model, so as to perform line-of-sight determination between an aircraft and ground stations. Considering the aircraft’s 3D attitude, the ground station coordinates are projected into the aircraft’s body coordinate system. The telemetry antenna gain of the aircraft per tracking epoch is extracted by utilizing the antenna radiation pattern, and channel parameters are then updated in real time for air-ground telemetry link analysis. Multiple flight tests demonstrate that the model outperforms the traditional algorithm in terms of computational speed, accuracy, and stability, and the mean and standard deviation of the arc compliance rate in simulation calculation reach 105% and 7.25%, respectively. The model can be applied to optimize site selection of telemetry ground stations, thereby providing robust support for acquiring complete telemetry tracking arc data of low-altitude aircraft.

    Two Methods for Constructing Level-Flight Envelopes for Fighter Aircraft
    Jie HUANG, Yang BAI, Yu LIU, Yizhe WANG, Guoxu FENG
    2026, 54(5):  152-167.  doi:10.3969/j.issn.1009-086x.2026.05.013
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    To address the diverse requirements for fighter-aircraft level-flight envelopes in air combat simulation platforms, this paper examines a fighter aircraft whose geometric parameters are unknown. It proposes a shape reverse design method based on aerodynamic simulation data and two calculation methods for level-flight envelopes, and develops a flight envelope calculation program. First, the fighter aircraft was reconstructed in three dimensions using perspective theory and NURBS surface modeling. Subsequently, aerodynamic performance analysis was conducted on the reconstructed model to obtain various aerodynamic performance parameters, and the calculated data were compared with data from the literature to iteratively refine the model. Based on the aerodynamic simulation data, the aircraft’s level-flight envelopes were obtained using the flight envelope calculation program. Finally, the two calculated flight envelopes were compared with the flight envelope reported in the literature. The results show that the aerodynamic simulation data-based shape reverse design modeling method can be used to construct a relatively detailed model. The flight envelope obtained using the refined calculation method is generally consistent with the flight envelope reported in the literature, demonstrating the validity of the method. Compared with the refined calculation method, the rapid calculation method produces flight envelope data with slightly lower accuracy, but requires fewer aerodynamic data and involves a simpler computational process, saving approximately 66% of the required time.

    Route Planning and Design for Early Warning Aircraft to Achieve Stable Detection Coverage Areas
    Qihu LI, Guojie QIN, Meng SU
    2026, 54(5):  168-175.  doi:10.3969/j.issn.1009-086x.2026.05.014
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    To address the problem of planning and designing flight routes for maintaining stable detection coverage in different areas during support and assurance missions, this paper systematically proposes the basic principles of route planning and design for early warning aircraft (EWA) by comprehensively considering aircraft flight characteristics and mission requirements. Based on the real-time detection capability of airborne early warning radar, a route planning and design model for EWA to achieve stable detection coverage areas is constructed using dual parallel linear routes centered around key defended targets. Finally, case simulations are conducted to examine the effects of different straight-line route lengths and forward distances on the total detection coverage area, the stable detection coverage area, the threat angle, and the intercept distance, thus providing a theoretical reference for the route planning and design of EWA to achieve stable detection coverage in different areas.

    Integrated Design of Modular Software-Defined Missile Electronic Systems
    Jinqiang WANG, Peilei XU, Ning LI, Chengbin CHEN
    2026, 54(5):  176-184.  doi:10.3969/j.issn.1009-086x.2026.05.015
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    To address issues of insufficient versatility, low operational cost-effectiveness ratio, and challenges in high-intensity supply and support during combat operations in existing missile systems, this paper adopts the design concept of “general-purpose hardware platform + software-defined functions” to construct a modular overall architecture for missiles based on universal missile-borne sensing systems, integrated electronic systems, warhead systems, propulsion systems, and servo systems. By employing missile-borne cable-free interconnection and high-speed data transmission technologies, the study achieves high-speed information exchange among the various hardware subsystems. The software-defined technology is utilized to manage and schedule the underlying hardware, enabling dynamic loading, unloading, and upgrading management of missile application software. This approach reduces the complexity of the missile system and lays a solid foundation for lowering the costs associated with the development, production, and maintenance of air-defense missiles.