Chenyang Wang, Yihai Liao, Sicong Liu, Jianghong Shi, Ao Peng
With the increasing prevalence of complex electromagnetic threats, the antijamming capability of satellite navigation signals has become a critical factor in signal design. However, existing signal designs still exhibit inherent limitations against varying jamming patterns, restricting their applicability in heavily jammed environments. This paper proposes a navigation signal structure based on wideband frequency hopping (WFH) modulation, aiming to enhance both antijamming capabilities and measurement accuracy. Since frequency hopping induces nonstationary characteristics in the received jamming spectrum, the conventional carrier-to-noise ratio (CNR) becomes inapplicable. To address this, we propose the nonstationary effective carrier-to-noise ratio (NSCNR) model to characterise performance under dynamic spectral conditions. In addition, the impacts of various hopping parameters, specifically ionospheric effects, synchronisation errors and dwell time, on signal accuracy and antijamming performance are thoroughly analysed. Simulation results demonstrate that wideband frequency hopping provides robust resilience against both narrowband and wideband jamming.
{"title":"WFH: A Wideband Frequency Hopping-Based Anti-Jamming Navigation Signal Structure","authors":"Chenyang Wang, Yihai Liao, Sicong Liu, Jianghong Shi, Ao Peng","doi":"10.1049/rsn2.70116","DOIUrl":"https://doi.org/10.1049/rsn2.70116","url":null,"abstract":"<p>With the increasing prevalence of complex electromagnetic threats, the antijamming capability of satellite navigation signals has become a critical factor in signal design. However, existing signal designs still exhibit inherent limitations against varying jamming patterns, restricting their applicability in heavily jammed environments. This paper proposes a navigation signal structure based on wideband frequency hopping (WFH) modulation, aiming to enhance both antijamming capabilities and measurement accuracy. Since frequency hopping induces nonstationary characteristics in the received jamming spectrum, the conventional carrier-to-noise ratio (CNR) becomes inapplicable. To address this, we propose the nonstationary effective carrier-to-noise ratio (NSCNR) model to characterise performance under dynamic spectral conditions. In addition, the impacts of various hopping parameters, specifically ionospheric effects, synchronisation errors and dwell time, on signal accuracy and antijamming performance are thoroughly analysed. Simulation results demonstrate that wideband frequency hopping provides robust resilience against both narrowband and wideband jamming.</p>","PeriodicalId":50377,"journal":{"name":"Iet Radar Sonar and Navigation","volume":"20 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2026-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ietresearch.onlinelibrary.wiley.com/doi/epdf/10.1049/rsn2.70116","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146083423","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}
High manoeuvring target tracking remains a challenging problem due to complex motion patterns, frequent model switching and strong nonlinear relationships between system states and observations. The interacting multiple model (IMM) algorithm integrated with the unscented Kalman filter (UKF) is widely used for such scenarios. However, its performance is significantly limited by reliance on a fixed or heuristically designed transition probability matrix (TPM), which leads to model switching lag and degradation in tracking accuracy during abrupt manoeuvres. Moreover, existing deep learning-assisted IMM methods often fail to effectively fuse spatiotemporal features and suppress noise. To solve these gaps, an adaptive interacting multiple model unscented Kalman filter (IMM-UKF) algorithm based on a convolutional neural network and long short-term memory network (CNN-LSTM) fusion architecture is proposed. A multi-dimensional feature space including state estimation, observation data and model probability is constructed by the algorithm, which is then used as input to the neural network model. Latent spatial features are extracted by the CNN module and subsequently processed by the LSTM network to capture temporal dynamic characteristics, which achieve real-time dynamic estimation and adaptive optimisation of the model TPM. In addition, a sliding average buffer mechanism is introduced to smooth the prediction outputs and reduce the impact of disturbances on estimation performance. Simulation results show that the proposed algorithm outperforms the IMM-UKF algorithm. In the periodic motion scenario, the proposed algorithm reduces position and velocity root mean square error (RMSE) by 11.2% and 19.96%, respectively. In the compound manoeuvring motion scenario, the proposed algorithm reduces the position and velocity RMSE by 14.87% and 21.50%, respectively. The proposed algorithm effectively improves model switching accuracy, increases the probability of matching the dominant model and significantly enhances tracking performance under high-manoeuvrability conditions.
{"title":"Adaptive High Manoeuvring Target Tracking Algorithm Based on CNN-LSTM Fusion Architecture","authors":"Yuhan Cui, Chunbo Xiu, Yuxia Liu, Dawei Liu","doi":"10.1049/rsn2.70115","DOIUrl":"https://doi.org/10.1049/rsn2.70115","url":null,"abstract":"<p>High manoeuvring target tracking remains a challenging problem due to complex motion patterns, frequent model switching and strong nonlinear relationships between system states and observations. The interacting multiple model (IMM) algorithm integrated with the unscented Kalman filter (UKF) is widely used for such scenarios. However, its performance is significantly limited by reliance on a fixed or heuristically designed transition probability matrix (TPM), which leads to model switching lag and degradation in tracking accuracy during abrupt manoeuvres. Moreover, existing deep learning-assisted IMM methods often fail to effectively fuse spatiotemporal features and suppress noise. To solve these gaps, an adaptive interacting multiple model unscented Kalman filter (IMM-UKF) algorithm based on a convolutional neural network and long short-term memory network (CNN-LSTM) fusion architecture is proposed. A multi-dimensional feature space including state estimation, observation data and model probability is constructed by the algorithm, which is then used as input to the neural network model. Latent spatial features are extracted by the CNN module and subsequently processed by the LSTM network to capture temporal dynamic characteristics, which achieve real-time dynamic estimation and adaptive optimisation of the model TPM. In addition, a sliding average buffer mechanism is introduced to smooth the prediction outputs and reduce the impact of disturbances on estimation performance. Simulation results show that the proposed algorithm outperforms the IMM-UKF algorithm. In the periodic motion scenario, the proposed algorithm reduces position and velocity root mean square error (RMSE) by 11.2% and 19.96%, respectively. In the compound manoeuvring motion scenario, the proposed algorithm reduces the position and velocity RMSE by 14.87% and 21.50%, respectively. The proposed algorithm effectively improves model switching accuracy, increases the probability of matching the dominant model and significantly enhances tracking performance under high-manoeuvrability conditions.</p>","PeriodicalId":50377,"journal":{"name":"Iet Radar Sonar and Navigation","volume":"20 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2026-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ietresearch.onlinelibrary.wiley.com/doi/epdf/10.1049/rsn2.70115","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146091068","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}
Time difference of arrival (TDOA) estimation is a critical parameter estimation stage of TDOA localisation in wireless monitoring networks, and its result directly determines the positioning accuracy of the signal source. However, the existing TDOA estimation methods based on orthogonal matching pursuit (OMP) only consider the scenario of circular signal and are prone to the degradation of estimation performance due to atom misselection under small samples and low signal-to-noise ratio (SNR). To address this issue, this paper proposes a loop matching pursuit multistation TDOA estimation algorithm based on noncircular signal. Firstly, by combining the noncircular characteristic of the radiation source signal, an extended data model is constructed by using multistation received data and their conjugate. Then, based on the time-domain sparsity of the time difference, an extended time-domain dictionary set is built by discretising the time grid. In addition, the support set is optimised via atom loop deletion and addition to reconstruct the sparse coefficients. Finally, the TDOA estimation is obtained from the correspondence between the time difference value and the sparse coefficient. Furthermore, the Cramer–Rao bound (CRB) for TDOA estimation of a noncircular source is derived, thereby providing a quantitative theoretical lower bound for the estimation accuracy of the new algorithm. The simulation experiment results verify the superiority of the proposed algorithm under small samples and low SNR.
到达时差(Time difference of arrival, TDOA)估计是无线监控网络中TDOA定位的关键参数估计阶段,其结果直接决定了信号源的定位精度。然而,现有的基于正交匹配追踪(OMP)的TDOA估计方法只考虑了圆形信号的情况,在小样本和低信噪比下容易由于原子错选而导致估计性能下降。针对这一问题,本文提出了一种基于非圆信号的环匹配跟踪多站TDOA估计算法。首先,结合辐射源信号的非圆特性,利用多站接收数据及其共轭关系建立扩展数据模型;然后,根据时差的时域稀疏性,对时间网格进行离散化,建立扩展的时域字典集;此外,通过原子环的删除和添加对支持集进行优化,重构稀疏系数。最后,根据时间差值与稀疏系数的对应关系得到TDOA估计。推导了非圆源TDOA估计的Cramer-Rao界(CRB),从而为新算法的估计精度提供了一个定量的理论下界。仿真实验结果验证了该算法在小样本、低信噪比条件下的优越性。
{"title":"Loop Matching Pursuit Multistation TDOA Estimation Method Based on Noncircular Signal","authors":"Zeyu Wang, Ding Wang, Jiexin Yin, Nae Zheng","doi":"10.1049/rsn2.70114","DOIUrl":"https://doi.org/10.1049/rsn2.70114","url":null,"abstract":"<p>Time difference of arrival (TDOA) estimation is a critical parameter estimation stage of TDOA localisation in wireless monitoring networks, and its result directly determines the positioning accuracy of the signal source. However, the existing TDOA estimation methods based on orthogonal matching pursuit (OMP) only consider the scenario of circular signal and are prone to the degradation of estimation performance due to atom misselection under small samples and low signal-to-noise ratio (SNR). To address this issue, this paper proposes a loop matching pursuit multistation TDOA estimation algorithm based on noncircular signal. Firstly, by combining the noncircular characteristic of the radiation source signal, an extended data model is constructed by using multistation received data and their conjugate. Then, based on the time-domain sparsity of the time difference, an extended time-domain dictionary set is built by discretising the time grid. In addition, the support set is optimised via atom loop deletion and addition to reconstruct the sparse coefficients. Finally, the TDOA estimation is obtained from the correspondence between the time difference value and the sparse coefficient. Furthermore, the Cramer–Rao bound (CRB) for TDOA estimation of a noncircular source is derived, thereby providing a quantitative theoretical lower bound for the estimation accuracy of the new algorithm. The simulation experiment results verify the superiority of the proposed algorithm under small samples and low SNR.</p>","PeriodicalId":50377,"journal":{"name":"Iet Radar Sonar and Navigation","volume":"20 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2026-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ietresearch.onlinelibrary.wiley.com/doi/epdf/10.1049/rsn2.70114","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146099387","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}
Yuhao Chen, Bo Tang, Da Li, Yangjia Wang, Wenjun Wu
This paper focuses on the design of synthetic aperture radar (SAR) deceptive jamming waveforms with spectral compatibility. We formulate an optimisation problem to minimise the matching error between the designed and the intercepted signal, under the constraint that the interference of the jammer to the nearby friendly radiators is controlled. Additionally, to enhance the effective radiated power of the jammers, we enforce a peak-to-average power ratio (PAPR) constraint on the waveforms. To deal with the formulated problem, we propose an iterative algorithm based on alternating direction multiplier method (ADMM). Numerical results demonstrate the fast convergence of the ADMM algorithm. Moreover, the jamming waveform designed by the algorithm exhibits high similarity