Unmanned aerial vehicles (UAVs) heavily rely on GPS, a system vulnerable to signal interference in complex urban environments. Although radar systems offer a robust alternative due to their ability to effectively penetrate adverse weather and operate in darkness, a key challenge remains: reliably identifying static architectural landmarks from sparse and noisy radar echoes. This paper proposes a novel method for creating spatio-probabilistic models (SPMs) of radar echoes from high-rise urban landmarks, enabling independent, radar-based UAV localisation. We employ kernel density estimation on real radar data, acquired with a custom-designed X-band ENAVI radar, focusing on large arena buildings and slender spires. These SPMs are then used to detect and identify landmarks by calculating the divergence between the probability distributions of the real-time received echoes and the preestimated reference models. Our evaluation, using probabilistic divergence metrics on Wrocław's Centennial Hall and Iglica, shows that this method effectively preserves the statistical properties of the radar data, generating high-fidelity SPMs. This approach significantly improves landmark identification compared to classical correlation methods, paving the way for more robust and resilient UAV navigation systems.
{"title":"High-Rise Architectural Landmarks Detection and Identification by Spatio-Probabilistic Models for UAV Anti-Collision Radar—A Real Data Case","authors":"Urszula Libal, Pawel Biernacki","doi":"10.1049/rsn2.70069","DOIUrl":"10.1049/rsn2.70069","url":null,"abstract":"<p>Unmanned aerial vehicles (UAVs) heavily rely on GPS, a system vulnerable to signal interference in complex urban environments. Although radar systems offer a robust alternative due to their ability to effectively penetrate adverse weather and operate in darkness, a key challenge remains: reliably identifying static architectural landmarks from sparse and noisy radar echoes. This paper proposes a novel method for creating spatio-probabilistic models (SPMs) of radar echoes from high-rise urban landmarks, enabling independent, radar-based UAV localisation. We employ kernel density estimation on real radar data, acquired with a custom-designed X-band ENAVI radar, focusing on large arena buildings and slender spires. These SPMs are then used to detect and identify landmarks by calculating the divergence between the probability distributions of the real-time received echoes and the preestimated reference models. Our evaluation, using probabilistic divergence metrics on Wrocław's Centennial Hall and Iglica, shows that this method effectively preserves the statistical properties of the radar data, generating high-fidelity SPMs. This approach significantly improves landmark identification compared to classical correlation methods, paving the way for more robust and resilient UAV navigation systems.</p>","PeriodicalId":50377,"journal":{"name":"Iet Radar Sonar and Navigation","volume":"19 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2025-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ietresearch.onlinelibrary.wiley.com/doi/epdf/10.1049/rsn2.70069","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144897640","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nano-drones are insect-like drones used to provide intelligence through their capability of intrusion and ability to carry small sensors. They pose a defence and security threat and can potentially violate secure establishments and privacy rights. Their rapid emergence and increased availability have made them an existing technology which is affordable and easy to operate. Nano-drones are typically defined as drones smaller than 15 cm. They are light and stealthy in nature and present a very low radar cross-section (RCS) which creates a significant challenge for active Radio Frequency (RF) security systems tasked with detecting potential threats. This paper presents a K-band Frequency Modulated Continuous Wave (FMCW) radar prototype tailored for detecting nano-drones. Operating at 24 GHz and utilising commercial off-the-shelf components, the radar offers a low-cost, flexible and customisable solution with user-selectable frequency and waveform parameters. The system's detection capabilities were tested using low-RCS oscillating metallic spheres ranging from 0.5 to 3.0 cm in diameter. Nano-drone detection was demonstrated using range-Doppler maps and time-frequency spectrograms of a real and small 5 cm nano-drone. The paper provides a detailed overview of the radar design and test methodology, together with a detailed investigation of the radar performance.
{"title":"A Flexible K-Band FMCW Radar Prototype for Low-RCS Nano-Drone Detection","authors":"Safiah Zulkifli, Alessio Balleri","doi":"10.1049/rsn2.70067","DOIUrl":"10.1049/rsn2.70067","url":null,"abstract":"<p>Nano-drones are insect-like drones used to provide intelligence through their capability of intrusion and ability to carry small sensors. They pose a defence and security threat and can potentially violate secure establishments and privacy rights. Their rapid emergence and increased availability have made them an existing technology which is affordable and easy to operate. Nano-drones are typically defined as drones smaller than 15 cm. They are light and stealthy in nature and present a very low radar cross-section (RCS) which creates a significant challenge for active Radio Frequency (RF) security systems tasked with detecting potential threats. This paper presents a K-band Frequency Modulated Continuous Wave (FMCW) radar prototype tailored for detecting nano-drones. Operating at 24 GHz and utilising commercial off-the-shelf components, the radar offers a low-cost, flexible and customisable solution with user-selectable frequency and waveform parameters. The system's detection capabilities were tested using low-RCS oscillating metallic spheres ranging from 0.5 to 3.0 cm in diameter. Nano-drone detection was demonstrated using range-Doppler maps and time-frequency spectrograms of a real and small 5 cm nano-drone. The paper provides a detailed overview of the radar design and test methodology, together with a detailed investigation of the radar performance.</p>","PeriodicalId":50377,"journal":{"name":"Iet Radar Sonar and Navigation","volume":"19 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2025-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ietresearch.onlinelibrary.wiley.com/doi/epdf/10.1049/rsn2.70067","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144894332","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Wenqing Zhu, Guobing Hu, Jun Song, Shanshan Wu, Li Yang
To address the issues of poor detection performance under low signal-to-noise ratios (SNRs) and high computational complexity in existing visibility graph-based spectrum sensing algorithms, this article proposes a novel algorithm based on the Euclidean norm of the horizontal visibility graph (HVG) adjacency matrix. The algorithm begins by computing the block summation of the observed signal's power spectrum. The squared modulus of its autocorrelation function is subsequently calculated, normalised and quantised to form the new sequence, which is then transformed to the HVG and defined as the graph signal. The one-hop graph filter is constructed from the graph signal and the adjacency matrix, and its Euclidean norm serves as the detection statistic. This statistic is compared against a predefined threshold to determine the presence of the primary user signal. To theoretically analyse detection performance, the weak submajorisation order is introduced to evaluate the statistical differences between graph signals under the two hypotheses. Additionally, data exploration demonstrates that the proposed statistic approximately follows a Burr distribution under the null hypothesis, allowing for an approximate analytical expression for the detection threshold is derived. Simulation results show that the proposed algorithm outperforms existing graph-based algorithms at low SNRs while maintaining moderate computational complexity.
{"title":"Spectrum Sensing Algorithm Based on the Euclidean Norm of the Horizontal Visibility Graph for Cognitive Radio","authors":"Wenqing Zhu, Guobing Hu, Jun Song, Shanshan Wu, Li Yang","doi":"10.1049/rsn2.70051","DOIUrl":"10.1049/rsn2.70051","url":null,"abstract":"<p>To address the issues of poor detection performance under low signal-to-noise ratios (SNRs) and high computational complexity in existing visibility graph-based spectrum sensing algorithms, this article proposes a novel algorithm based on the Euclidean norm of the horizontal visibility graph (HVG) adjacency matrix. The algorithm begins by computing the block summation of the observed signal's power spectrum. The squared modulus of its autocorrelation function is subsequently calculated, normalised and quantised to form the new sequence, which is then transformed to the HVG and defined as the graph signal. The one-hop graph filter is constructed from the graph signal and the adjacency matrix, and its Euclidean norm serves as the detection statistic. This statistic is compared against a predefined threshold to determine the presence of the primary user signal. To theoretically analyse detection performance, the weak submajorisation order is introduced to evaluate the statistical differences between graph signals under the two hypotheses. Additionally, data exploration demonstrates that the proposed statistic approximately follows a Burr distribution under the null hypothesis, allowing for an approximate analytical expression for the detection threshold is derived. Simulation results show that the proposed algorithm outperforms existing graph-based algorithms at low SNRs while maintaining moderate computational complexity.</p>","PeriodicalId":50377,"journal":{"name":"Iet Radar Sonar and Navigation","volume":"19 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ietresearch.onlinelibrary.wiley.com/doi/epdf/10.1049/rsn2.70051","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144888253","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In some ballistic target tracking applications, the target travels to the destination with a constant horizontal heading in the reentry phase, whose states are subjected to a destination constraint. If the prior information on the destination can be acquired and effectively utilised, a significant enhancement of performance can be expected. In this paper, a three-dimensional (3D) constrained motion model is established to describe the target motion in the reentry phase. For different cases where the prior destination information is accurately known or contaminated by noise, the horizontal heading angle or the destination position is augmented into the state vector to formulate the accurate constraint relationships in the horizontal plane. Based on the augmented state vectors and the existing 2D model for reentry targets in the vertical plane, accurate state equations are derived to describe the ballistic target motion in the 3D space. Corresponding filtering methods, which employ the unscented Kalman filter to deal with the strong nonlinearity in the augmented state equation, are proposed. Simulation results of Monte Carlo experiments verify the effectiveness of the proposed constrained estimation methods. It is demonstrated that the incorporation of extra destination constraint information leads to superior tracking performance compared with the unconstrained method.
{"title":"Motion Modelling and State Estimation for Ballistic Targets in Reentry Phase Based on Destination Information","authors":"Changwei Gao, Keyi Li, Gongjian Zhou","doi":"10.1049/rsn2.70068","DOIUrl":"10.1049/rsn2.70068","url":null,"abstract":"<p>In some ballistic target tracking applications, the target travels to the destination with a constant horizontal heading in the reentry phase, whose states are subjected to a destination constraint. If the prior information on the destination can be acquired and effectively utilised, a significant enhancement of performance can be expected. In this paper, a three-dimensional (3D) constrained motion model is established to describe the target motion in the reentry phase. For different cases where the prior destination information is accurately known or contaminated by noise, the horizontal heading angle or the destination position is augmented into the state vector to formulate the accurate constraint relationships in the horizontal plane. Based on the augmented state vectors and the existing 2D model for reentry targets in the vertical plane, accurate state equations are derived to describe the ballistic target motion in the 3D space. Corresponding filtering methods, which employ the unscented Kalman filter to deal with the strong nonlinearity in the augmented state equation, are proposed. Simulation results of Monte Carlo experiments verify the effectiveness of the proposed constrained estimation methods. It is demonstrated that the incorporation of extra destination constraint information leads to superior tracking performance compared with the unconstrained method.</p>","PeriodicalId":50377,"journal":{"name":"Iet Radar Sonar and Navigation","volume":"19 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ietresearch.onlinelibrary.wiley.com/doi/epdf/10.1049/rsn2.70068","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144888252","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This study presents a deep neural network (DNN) model for multi-octave-band direction-finding (MOB-DF) estimation using a broadband DF-array and multi-layer perceptron (MLP). The model leverages randomly placed array elements to generate unique array steering vectors (ASVs) for directions within a cone-shaped field-of-view. By directly linking ASVs and signal frequency to direction via an MLP, it eliminates reliance on the signal covariance matrix, a common component in many 2D neural network-based DF methods. The DNN-based MOB-DF model is structured into sub-bands, each utilising a trained 16 × 1024 MLP. Simulations with 3-, 4-, and 5-element DF models, trained and validated on datasets with signal-to-noise ratios (SNRs) of 10, 20, and 100 dB respectively, reveal several key findings: (1) MLPs trained at 10 dB SNR can achieve better estimation performance across varying SNR levels, where estimation performance is defined as the probability of direction estimation error ≤ 1°. (2) Increasing array elements expands MOB coverage. (3) The 5-element model attains probabilities of 50% and 90% for ≤ 1° estimation errors at approximately −20 and −10 dB SNR respectively within 2–20 GHz. (4) Average prediction time per direction is on the microsecond scale. (5) The model shows resilience to frequency estimation uncertainties.
{"title":"Deep Neural Network Model of Ultrafast 2D Direction-of-Arrival Estimation Using Planar Arrays for Multi-Octave-Band Digital Receiver Applications","authors":"Chen Wu, Qi Er Teng, Raffi Fox","doi":"10.1049/rsn2.70066","DOIUrl":"10.1049/rsn2.70066","url":null,"abstract":"<p>This study presents a deep neural network (DNN) model for multi-octave-band direction-finding (MOB-DF) estimation using a broadband DF-array and multi-layer perceptron (MLP). The model leverages randomly placed array elements to generate unique array steering vectors (ASVs) for directions within a cone-shaped field-of-view. By directly linking ASVs and signal frequency to direction via an MLP, it eliminates reliance on the signal covariance matrix, a common component in many 2D neural network-based DF methods. The DNN-based MOB-DF model is structured into sub-bands, each utilising a trained 16 × 1024 MLP. Simulations with 3-, 4-, and 5-element DF models, trained and validated on datasets with signal-to-noise ratios (SNRs) of 10, 20, and 100 dB respectively, reveal several key findings: (1) MLPs trained at 10 dB SNR can achieve better estimation performance across varying SNR levels, where estimation performance is defined as the probability of direction estimation error ≤ 1°. (2) Increasing array elements expands MOB coverage. (3) The 5-element model attains probabilities of 50% and 90% for ≤ 1° estimation errors at approximately −20 and −10 dB SNR respectively within 2–20 GHz. (4) Average prediction time per direction is on the microsecond scale. (5) The model shows resilience to frequency estimation uncertainties.</p>","PeriodicalId":50377,"journal":{"name":"Iet Radar Sonar and Navigation","volume":"19 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ietresearch.onlinelibrary.wiley.com/doi/epdf/10.1049/rsn2.70066","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144881391","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ao Gao, Bing Ji, Guang Zheng, Miao Wu, Sisi Chang, Deying Yu, Wenkui Li
Conventional Loran-C is mainly used for low-altitude users; however, when the Loran-C signal station or receiving point is at a higher altitude, the ranging error caused by the elevation change cannot be ignored. The traditional groundwave path correction method for high altitude regions idealises the complex groundwave path as a smooth, extensive elliptic line. However, this is a rough and inaccurate correction value