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Keywords = Doppler-shifted frequency

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12 pages, 24012 KiB  
Article
Iterative Fractional Doppler Shift and Channel Joint Estimation Algorithm for OTFS Systems in LEO Satellite Communication
by Xiaochen Lu, Lijian Sun and Guangliang Ren
Electronics 2025, 14(15), 2964; https://doi.org/10.3390/electronics14152964 - 24 Jul 2025
Viewed by 216
Abstract
An iterative fractional Doppler shift and channel joint estimation algorithm is proposed for orthogonal time frequency space (OTFS) satellite communication systems. In the algorithm, we search the strongest path and estimate its fractional Doppler offset, and compensate the Doppler shift to the nearest [...] Read more.
An iterative fractional Doppler shift and channel joint estimation algorithm is proposed for orthogonal time frequency space (OTFS) satellite communication systems. In the algorithm, we search the strongest path and estimate its fractional Doppler offset, and compensate the Doppler shift to the nearest integer to estimate the coefficient of the path. Then signal of the path and its inter-Doppler interference are reconstructed and canceled from the received data with these two estimated parameters. The estimation and cancel process are iteratively conducted until the strongest path in the remained paths is less than the predetermined threshold. The channel information can be reconstructed by the estimated parameters of the paths. The normalized mean squared error (NMSE) of the proposed channel estimation algorithm is less than 1/5 of the available algorithms at a high signal-to-noise ratio (SNR) region, and its BER has about 4dB SNR gain compared with those of the available algorithms when the bit error rate (BER) is 103. Full article
(This article belongs to the Special Issue Emerging Trends in Satellite Communication Networks)
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39 pages, 13464 KiB  
Article
Micro-Doppler Signal Features of Idling Vehicle Vibrations: Dependence on Gear Engagements and Occupancy
by Ram M. Narayanan, Benjamin D. Simone, Daniel K. Watson, Karl M. Reichard and Kyle A. Gallagher
Signals 2025, 6(3), 35; https://doi.org/10.3390/signals6030035 - 24 Jul 2025
Viewed by 327
Abstract
This study investigates the use of a custom-built 10 GHz continuous wave micro-Doppler radar system to analyze external vibrations of idling vehicles under various conditions. Scenarios included different gear engagements with one occupant and parked gear with up to four occupants. Motivated by [...] Read more.
This study investigates the use of a custom-built 10 GHz continuous wave micro-Doppler radar system to analyze external vibrations of idling vehicles under various conditions. Scenarios included different gear engagements with one occupant and parked gear with up to four occupants. Motivated by security concerns, such as the threat posed by idling vehicles with multiple occupants, the research explores how micro-Doppler signatures can indicate vehicle readiness to move. Experiments focused on a mid-size SUV, with similar trends seen in other vehicles. Radar data were compared to in situ accelerometer measurements, confirming that the radar system can detect subtle frequency changes, especially during gear shifts. The system’s sensitivity enables it to distinguish variations tied to gear state and passenger load. Extracted features like frequency and magnitude show strong potential for use in machine learning models, offering a non-invasive, remote sensing method for reliably identifying vehicle operational states and occupancy levels in security or monitoring contexts. Spectrogram and PSD analyses reveal consistent tonal vibrations around 30 Hz, tied to engine activity, with harmonics at 60 Hz and 90 Hz. Gear shifts produce impulse signatures primarily below 20 Hz, and transient data show distinct peaks at 50, 80, and 100 Hz. Key features at 23 Hz and 45 Hz effectively indicate engine and gear states. Radar and accelerometer data align well, supporting the potential for remote sensing and machine learning-based classification. Full article
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30 pages, 8089 KiB  
Article
KDFE: Robust KNN-Driven Fusion Estimator for LEO-SoOP Under Multi-Beam Phased-Array Dynamics
by Jiaqi Yin, Ruidan Luo, Xiao Chen, Linhui Zhao, Hong Yuan and Guang Yang
Remote Sens. 2025, 17(15), 2565; https://doi.org/10.3390/rs17152565 - 23 Jul 2025
Viewed by 214
Abstract
Accurate Doppler frequency estimation for Low Earth Orbit (LEO)-based Signals of Opportunity (SoOP) positioning faces significant challenges from extreme dynamics (±40 kHz Doppler shift, 0.4 Hz/ms fluctuation) and severe SNR fluctuations induced by multi-beam switching. Empirical analysis reveals that phased-array beamforming generates three-tiered [...] Read more.
Accurate Doppler frequency estimation for Low Earth Orbit (LEO)-based Signals of Opportunity (SoOP) positioning faces significant challenges from extreme dynamics (±40 kHz Doppler shift, 0.4 Hz/ms fluctuation) and severe SNR fluctuations induced by multi-beam switching. Empirical analysis reveals that phased-array beamforming generates three-tiered SNR fluctuation patterns during unpredictable beam handovers, rendering conventional single-algorithm solutions fundamentally inadequate. To address this limitation, we propose KDFE (KNN-Driven Fusion Estimator)—an adaptive framework integrating the Rife–Vincent algorithm and MLE via intelligent switching. Global FFT processing extracts real-time Doppler-SNR parameter pairs, while a KNN-based arbiter dynamically selects the optimal estimator by: (1) Projecting parameter pairs into historical performance space, (2) Identifying the accuracy-optimal algorithm for current beam conditions, and (3) Executing real-time switching to balance accuracy and robustness. This decision model overcomes the accuracy-robustness trade-off by matching algorithmic strengths to beam-specific dynamics, ensuring optimal performance during abrupt SNR transitions and high Doppler rates. Both simulations and field tests demonstrate KDFE’s dual superiority: Doppler estimation errors were reduced by 26.3% (vs. Rife–Vincent) and 67.9% (vs. MLE), and 3D positioning accuracy improved by 13.6% (vs. Rife–Vincent) and 49.7% (vs. MLE). The study establishes a pioneering framework for adaptive LEO-SoOP positioning, delivering a methodological breakthrough for LEO navigation. Full article
(This article belongs to the Special Issue LEO-Augmented PNT Service)
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18 pages, 3419 KiB  
Article
Differentiated Embedded Pilot Assisted Automatic Modulation Classification for OTFS System: A Multi-Domain Fusion Approach
by Zhenkai Liu, Bibo Zhang, Hao Luo and Hao He
Sensors 2025, 25(14), 4393; https://doi.org/10.3390/s25144393 - 14 Jul 2025
Viewed by 316
Abstract
Orthogonal time–frequency space (OTFS) modulation has emerged as a promising technology to alleviate the effects of the Doppler shifts in high-mobility environments. As a prerequisite to demodulation and signal processing, automatic modulation classification (AMC) is essential for OTFS systems. However, a very limited [...] Read more.
Orthogonal time–frequency space (OTFS) modulation has emerged as a promising technology to alleviate the effects of the Doppler shifts in high-mobility environments. As a prerequisite to demodulation and signal processing, automatic modulation classification (AMC) is essential for OTFS systems. However, a very limited number of works have focused on this issue. In this paper, we propose a novel AMC approach for OTFS systems. We build a dual-stream convolutional neural network (CNN) model to simultaneously capture multi-domain signal features, which substantially enhances recognition accuracy. Moreover, we propose a differentiated embedded pilot structure that incorporates information about distinct modulation schemes to further improve the separability of modulation types. The results of the extensive experiments carried out show that the proposed approach can achieve high classification accuracy even under low signal-to-noise ratio (SNR) conditions and outperform the state-of-the-art baselines. Full article
(This article belongs to the Section Communications)
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16 pages, 1935 KiB  
Article
Adaptive Modulation Tracking for High-Precision Time-Delay Estimation in Multipath HF Channels
by Qiwei Ji and Huabing Wu
Sensors 2025, 25(14), 4246; https://doi.org/10.3390/s25144246 - 8 Jul 2025
Viewed by 303
Abstract
High-frequency (HF) communication is critical for applications such as over-the-horizon positioning and ionospheric detection. However, precise time-delay estimation in complex HF channels faces significant challenges from multipath fading, Doppler shifts, and noise. This paper proposes a Modulation Signal-based Adaptive Time-Delay Estimation (MATE) algorithm, [...] Read more.
High-frequency (HF) communication is critical for applications such as over-the-horizon positioning and ionospheric detection. However, precise time-delay estimation in complex HF channels faces significant challenges from multipath fading, Doppler shifts, and noise. This paper proposes a Modulation Signal-based Adaptive Time-Delay Estimation (MATE) algorithm, which effectively decouples carrier and modulation signals and integrates phase-locked loop (PLL) and delay-locked loop (DLL) techniques. By leveraging the autocorrelation properties of 8PSK (Eight-Phase Shift Keying) signals, MATE compensates for carrier frequency deviations and mitigates multipath interference. Simulation results based on the Watterson channel model demonstrate that MATE achieves an average time-delay estimation error of approximately 0.01 ms with a standard deviation of approximately 0.01 ms, representing a 94.12% reduction in mean error and a 96.43% reduction in standard deviation compared to the traditional Generalized Cross-Correlation (GCC) method. Validation with actual measurement data further confirms the robustness of MATE against channel variations. MATE offers a high-precision, low-complexity solution for HF time-delay estimation, significantly benefiting applications in HF communication systems. This advancement is particularly valuable for enhancing the accuracy and reliability of time-of-arrival (TOA) detection in HF-based sensor networks and remote sensing systems. Full article
(This article belongs to the Section Communications)
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18 pages, 2521 KiB  
Article
A Doppler Frequency-Offset Estimation Method Based on the Beam Pointing of LEO Satellites
by Yanjun Song, Jun Xu, Chenhua Sun, Xudong Li and Shaoyi An
Electronics 2025, 14(13), 2539; https://doi.org/10.3390/electronics14132539 - 23 Jun 2025
Viewed by 326
Abstract
With the advancement of 5G-Advanced Non-Terrestrial Network (5G-A NTN) mobile communication technologies, direct satellite connectivity for mobile devices has been increasingly adopted. In the highly dynamic environment of low-Earth-orbit (LEO) satellite communications, the synchronization of satellite–ground signals remains a critical challenge. In this [...] Read more.
With the advancement of 5G-Advanced Non-Terrestrial Network (5G-A NTN) mobile communication technologies, direct satellite connectivity for mobile devices has been increasingly adopted. In the highly dynamic environment of low-Earth-orbit (LEO) satellite communications, the synchronization of satellite–ground signals remains a critical challenge. In this study, a Doppler frequency-shift estimation method applicable to high-mobility LEO scenarios is proposed, without reliance on the Global Navigation Satellite System (GNSS). Rapid access to satellite systems by mobile devices is enabled without the need for additional time–frequency synchronization infrastructure. The generation mechanism of satellite–ground Doppler frequency shifts is analyzed, and a relationship between satellite velocity and beam-pointing direction is established. Based on this relationship, a Doppler frequency-shift estimation method, referred to as DFS-BP (Doppler frequency-shift estimation using beam pointing), is developed. The effects of Earth’s latitude and satellite orbital inclination are systematically investigated and optimized. Through simulation, the estimation performance under varying minimum satellite elevation angles and terminal geographic locations is evaluated. The algorithm may provide a novel solution for Doppler frequency-shift compensation in Non-Terrestrial Networks (NTNs). Full article
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25 pages, 4360 KiB  
Article
Positioning-Based Uplink Synchronization Method for NB-IoT in LEO Satellite Networks
by Qiang Qi, Tao Hong and Gengxin Zhang
Symmetry 2025, 17(7), 984; https://doi.org/10.3390/sym17070984 - 21 Jun 2025
Viewed by 612
Abstract
With the growth of Internet of Things (IoT) business demands, NB-IoT integrating low earth orbit (LEO) satellite communication systems is considered a crucial component for achieving global coverage of IoT networks in the future. However, the long propagation delay and significant Doppler frequency [...] Read more.
With the growth of Internet of Things (IoT) business demands, NB-IoT integrating low earth orbit (LEO) satellite communication systems is considered a crucial component for achieving global coverage of IoT networks in the future. However, the long propagation delay and significant Doppler frequency shift of the satellite-to-ground link pose substantial challenges to the uplink and downlink synchronization in LEO satellite-based NB-IoT networks. To address this challenge, we first propose a Multiple Segment Auto-correlation (MSA) algorithm to detect the downlink Narrow-band Primary Synchronization Signal (NPSS), specifically tailored for the large Doppler frequency shift of LEO satellites. After detection, downlink synchronization can be realized by determining the arrival time and frequency of the NPSS. Then, to complete the uplink synchronization, we propose a position-based scheme to obtain the Timing Advance (TA) values and pre-compensated Doppler shift value. In this scheme, we formulate a time difference of arrival (TDOA) equation using the arrival times of NPSSs from different satellites or at different times as observations. After solving the TDOA equation using the Chan method, the uplink synchronization is completed by obtaining the TA values and pre-compensated Doppler shift value from the terminal position combined with satellite ephemeris. Finally, the feasibility of the proposed scheme is verified in an Iridium satellite constellation. Compared to conventional GNSS-assisted methods, the approach proposed in this paper reduces terminal power consumption by 15–40%. Moreover, it achieves an uplink synchronization success rate of over 98% under negative SNR conditions. Full article
(This article belongs to the Special Issue Symmetry/Asymmetry in Future Wireless Networks)
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17 pages, 2086 KiB  
Article
Seismogenic Effects in Variation of the ULF/VLF Emission in a Complex Study of the Lithosphere–Ionosphere Coupling Before an M6.1 Earthquake in the Region of Northern Tien Shan
by Nazyf Salikhov, Alexander Shepetov, Galina Pak, Serik Nurakynov, Vladimir Ryabov and Valery Zhukov
Geosciences 2025, 15(6), 203; https://doi.org/10.3390/geosciences15060203 - 1 Jun 2025
Viewed by 389
Abstract
A complex study was performed of the disturbances in geophysics parameters that were observed during a short-term period of earthquake preparation. On 4 March 2024, an M6.1 earthquake (N 42.93, E 76.966) occurred with the epicenter 12.2 km apart from the complex [...] Read more.
A complex study was performed of the disturbances in geophysics parameters that were observed during a short-term period of earthquake preparation. On 4 March 2024, an M6.1 earthquake (N 42.93, E 76.966) occurred with the epicenter 12.2 km apart from the complex of geophysical monitoring. Preparation of the earthquake we detected in real time, 8 days prior to the main shock, when a characteristic cove-like decrease appeared in the gamma-ray flux measured 100 m below the surface of the ground, which observation indicated an approaching earthquake with high probability. Besides the gamma-ray flux, anomalies connected with the earthquake preparation were studied in the variation of the Earth’s natural pulsed electromagnetic field (ENPEMF) at very low frequencies (VLF) f=7.5 kHz and f=10.0 kHz and at ultra-low frequency (ULF) in the range of 0.001–20 Hz, as well as in the shift of Doppler frequency (DFS) of the ionospheric signal. A drop detected in DFS agrees well with the decrease in gamma radiation background. A sequence of disturbance appearance was revealed, first in the variations of ENPEMF in the VLF band and of the subsurface gamma-ray flux, both of which reflect the activation dynamic of tectonic processes in the lithosphere, and next in the variation of DFS. Two types of earthquake-connected effects may be responsible for the transmission of the perturbation from the lithosphere into the ionosphere: the ionizing gamma-ray flux and the ULF/VLF emission, as direct radiation from the nearby earthquake source. In the article, we emphasize the role of medium ionization in the propagation of seismogenic effects as a channel for realizing the lithosphere–ionosphere coupling. Full article
(This article belongs to the Special Issue Precursory Phenomena Prior to Earthquakes (2nd Edition))
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23 pages, 1090 KiB  
Article
A Novel Search Technique for Low-Frequency Periodic Gravitational Waves
by Harshit Raj, Sanjeev Dhurandhar and Massimo Tinto
Universe 2025, 11(6), 168; https://doi.org/10.3390/universe11060168 - 24 May 2025
Viewed by 399
Abstract
We quantify the advantages of a recently proposed data processing technique to search for continuous gravitational wave (GW) signals from isolated rotating asymmetric neutron stars in data measured by ground-based GW interferometers. This technique relies on the symmetry of the motion around the [...] Read more.
We quantify the advantages of a recently proposed data processing technique to search for continuous gravitational wave (GW) signals from isolated rotating asymmetric neutron stars in data measured by ground-based GW interferometers. This technique relies on the symmetry of the motion around the Sun of an Earth-bound gravitational wave interferometer. By multiplying the measured data time series with a half-year time-shifted copy of it, we obtain two advantages: (i) the main Doppler phase modulation of a monochromatic gravitational wave signal is exactly removed, and (ii) the signal in the product data are located at twice the GW signal frequency. The first significantly reduces the size of the signal’s parameter space over which a search is to be performed. The second is advantageous at low frequencies; we find that, with currently available computer processing speeds, this technique is capable of achieving sensitivity that is comparable to or even better than coherent and other possibly non-coherent methods. Further, since our proposed method is implemented over a year-long data segment, it requires processing time comparable to the data acquisition time of currently available computers. Full article
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20 pages, 6160 KiB  
Article
A Computational Approach to Increasing the Antenna System’s Sensitivity in a Doppler Radar Designed to Detect Human Vital Signs in the UHF-SHF Frequency Ranges
by David Vatamanu and Simona Miclaus
Sensors 2025, 25(10), 3235; https://doi.org/10.3390/s25103235 - 21 May 2025
Viewed by 936
Abstract
In the context of Doppler radar, studies have examined the changes in the phase shift of the S21 transmission coefficient related to minute movements of the human chest as a response to breathing or heartbeat. Detecting human vital signs remains a challenge, [...] Read more.
In the context of Doppler radar, studies have examined the changes in the phase shift of the S21 transmission coefficient related to minute movements of the human chest as a response to breathing or heartbeat. Detecting human vital signs remains a challenge, especially when obstacles interfere with the attempt to detect the presence of life. The sensitivity of a measurement system’s perception of vital signs is highly dependent on the monitoring systems and antennas that are used. The current work proposes a computational approach that aims to extract an empirical law of the dependence of the phase shift of the transmission coefficient (S21) on the sensitivity at reception, based upon a set of four parameters. These variables are as follows: (a) the frequency of the continuous wave utilized; (b) the antenna type and its gain/directivity; (c) the electric field strength distribution on the chest surface (and its average value); and (d) the type of material (dielectric properties) impacted by the incident wave. The investigated frequency range is (1–20) GHz, while the simulations are generated using a doublet of dipole or gain-convenient identical Yagi antennas. The chest surface is represented by a planar rectangle that moves along a path of only 3 mm, with a step of 0.3 mm, mimicking respiration movement. The antenna–target system is modeled in the computational space in each new situation considered. The statistics illustrate the multiple regression function, empirically extracted. This enables the subsequent building of a continuous-wave bio-radar Doppler system with controlled and improved sensitivity. Full article
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23 pages, 2120 KiB  
Article
A Meta-Learning-Based Recognition Method for Multidimensional Feature Extraction and Fusion of Underwater Targets
by Xiaochun Liu, Yunchuan Yang, Youfeng Hu, Xiangfeng Yang, Liwen Liu, Lei Shi and Jianguo Liu
Appl. Sci. 2025, 15(10), 5744; https://doi.org/10.3390/app15105744 - 21 May 2025
Viewed by 282
Abstract
To tackle the challenges of relative attitude adaptability and limited sample availability in underwater moving target recognition for active sonar, this study focuses on key aspects such as feature extraction, network model design, and information fusion. A pseudo-three-dimensional spatial feature extraction method is [...] Read more.
To tackle the challenges of relative attitude adaptability and limited sample availability in underwater moving target recognition for active sonar, this study focuses on key aspects such as feature extraction, network model design, and information fusion. A pseudo-three-dimensional spatial feature extraction method is proposed by integrating generalized MUSIC with range–dimension information. The pseudo-WVD time–frequency feature is enhanced through the incorporation of prior knowledge. Additionally, the Doppler frequency shift distribution feature for underwater moving targets is derived and extracted. A multidimensional feature information fusion network model based on meta-learning is developed. Meta-knowledge is extracted separately from spatial, time–frequency, and Doppler feature spectra, to improve the generalization capability of single-feature task networks during small-sample training. Multidimensional feature information fusion is achieved via a feature fusion classifier. Finally, a sample library is constructed using simulation-enhanced data and experimental data for network training and testing. The results demonstrate that, in the few-sample scenario, the proposed method leverages the complementary nature of multidimensional features, effectively addressing the challenge of limited adaptability to relative horizontal orientation angles in target recognition, and achieving a recognition accuracy of up to 97.1%. Full article
(This article belongs to the Special Issue Computer Vision and Deep Learning for Activity Recognition)
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26 pages, 879 KiB  
Article
Design and Implementation of Low-Complexity Multiple Symbol Detection Algorithm Using Hybrid Stochastic Computing in Aircraft Wireless Communications
by Yukai Liu, Rongke Liu, Kairui Tian, Zheng Lu and Ling Zhao
Entropy 2025, 27(4), 359; https://doi.org/10.3390/e27040359 - 28 Mar 2025
Viewed by 451
Abstract
The Multiple Symbol Detection (MSD) algorithm can effectively lower the demodulation threshold in Frequency Modulation (FM) technology, which is widely used in aircraft wireless communications due to its insensitivity to large Doppler shifts. However, the high computational complexity of the MSD algorithm leads [...] Read more.
The Multiple Symbol Detection (MSD) algorithm can effectively lower the demodulation threshold in Frequency Modulation (FM) technology, which is widely used in aircraft wireless communications due to its insensitivity to large Doppler shifts. However, the high computational complexity of the MSD algorithm leads to considerable hardware resource overhead. In this paper, we propose a novel MSD architecture based on hybrid stochastic computing (SC), which allows for accurate signal detection while maintaining low hardware complexity. Given that the correlation calculation dominates the computational load in the MSD algorithm, we develop an SC-based, low-complexity unit to perform complex correlation operations using simple hardware circuits, significantly reducing the hardware overhead. Particularly, we integrate a flexible and scalable stochastic adder in the SC-based correlation calculation, which incorporates an adjustable scaling factor to enable high distinguishability in all possible correlation results. Additionally, for the symbol decision process of the MSD algorithm, we design a binary computing-based pipeline architecture to execute the computing process serially, which leverages the inherent low update rate of SC-based correlation results to further reduce the overall resource overhead. Experimental results show that, compared to an 8-bit quantization MSD implementation, our proposed hybrid SC-based MSD architecture achieves a comparable bit error rate while reducing the hardware resources to 69%, 45%, and 36% of those required for the three-, five-, and seven-symbol MSD algorithms, respectively. Full article
(This article belongs to the Special Issue Advances in Information and Coding Theory, the Third Edition)
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19 pages, 11797 KiB  
Article
Rapid Laser Ranging Method for Compact LiDAR Systems
by Jiahui Guo, Bo Gao, Xiaojun Liu, Junya Wang and Zheng You
Remote Sens. 2025, 17(6), 1002; https://doi.org/10.3390/rs17061002 - 12 Mar 2025
Viewed by 891
Abstract
We propose a rapid laser ranging method for compact LiDAR systems. It employs a high signal-to-noise ratio (SNR) coherent detection scheme to minimize the required measurement integration time, while also addressing key challenges encountered by existing rapid coherent ranging methods in compact systems—namely, [...] Read more.
We propose a rapid laser ranging method for compact LiDAR systems. It employs a high signal-to-noise ratio (SNR) coherent detection scheme to minimize the required measurement integration time, while also addressing key challenges encountered by existing rapid coherent ranging methods in compact systems—namely, device fabrication difficulties, the complexity of parallel Doppler frequency shift (DFS) decoupling, and endpoint effect elimination—through low-depth pseudo-random phase modulation (LD-PRPM). Furthermore, it introduces sliding window analysis, which fully harnesses the advantages of continuous-wave measurement and further boosts the ranging rate. In addition, the proposed method is adaptive and resistant to interference. Analysis and experiments validate its effectiveness. In the experiments, the method demonstrated a ranging accuracy of 5 mm, a ranging precision of 2 mm (1σ), and a rapid ranging rate of 10 MHz. These results may offer valuable references for enhancing the temporal or spatial resolution of the compact LiDAR system. Full article
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17 pages, 3071 KiB  
Article
OTFS: A Potential Waveform for Space–Air–Ground Integrated Networks in 6G and Beyond
by Obinna Okoyeigbo, Xutao Deng, Agbotiname Lucky Imoize and Olamilekan Shobayo
Telecom 2025, 6(1), 19; https://doi.org/10.3390/telecom6010019 - 11 Mar 2025
Cited by 1 | Viewed by 1694
Abstract
6G is expected to provide ubiquitous connectivity, particularly in remote and inaccessible environments, by integrating satellite and aerial networks with existing terrestrial networks, forming Space–Air–Ground Integrated Networks (SAGINs). These networks, comprising satellites, unmanned aerial vehicles (UAVs), and high-speed terrestrial networks, introduce severe Doppler [...] Read more.
6G is expected to provide ubiquitous connectivity, particularly in remote and inaccessible environments, by integrating satellite and aerial networks with existing terrestrial networks, forming Space–Air–Ground Integrated Networks (SAGINs). These networks, comprising satellites, unmanned aerial vehicles (UAVs), and high-speed terrestrial networks, introduce severe Doppler effects due to high mobility. Traditional modulation techniques like Orthogonal Frequency Division Multiplexing (OFDM) struggle to maintain reliable communication under such conditions. This paper investigates Orthogonal Time Frequency Space (OTFS) modulation as a robust alternative for high-mobility scenarios in SAGINs. Using 6G exploration library in MATLAB, this study compares the bit error rate (BER) performance of OTFS and OFDM under static and multipath channels with varying mobility scenarios from 20 km/h to 2000 km/h, and varying modulation orders (BPSK, QPSK, and 8-PSK). The results indicate that OTFS significantly outperforms OFDM, while maintaining signal integrity under extreme mobility conditions. OTFS modulates information symbols in the delay–Doppler domain, demonstrating a strong robustness against Doppler shifts and delay spreads. This makes it particularly suitable for high-mobility applications such as satellites, UAVs, and high-speed terrestrial networks. Conversely, while OFDM remains effective in static and low-mobility environments, it struggles with severe Doppler effects, common in the proposed SAGINs. These findings reinforce OTFS as a promising modulation technique for SAGINs in 6G and beyond. Full article
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10 pages, 2468 KiB  
Article
Rotational Doppler Effect of Vector Beams
by Hehe Li, Dong Xu and Xinzhong Li
Photonics 2025, 12(3), 240; https://doi.org/10.3390/photonics12030240 - 6 Mar 2025
Viewed by 701
Abstract
The optical rotational Doppler effect occurs when vortex beams are scattered by rotating objects and demonstrate the Doppler frequency shifts in scattered beams, which are associated with the optical angular momentum of vortex beams and the relative rotating angular velocity. Here, we investigate [...] Read more.
The optical rotational Doppler effect occurs when vortex beams are scattered by rotating objects and demonstrate the Doppler frequency shifts in scattered beams, which are associated with the optical angular momentum of vortex beams and the relative rotating angular velocity. Here, we investigate the rotational Doppler effect of a rotating vector beam in its tight focusing and find that similar Doppler frequency shifts arise when the polarization order and vortex charge satisfy some specific relations. We note that the vortex charge is the indispensable parameter in the rotational Doppler effect of the vector vortex beam. Nonetheless, the sign and magnitude of the frequency shift are only determined by the angular frequency of the rotating beam and are irrelevant to the vortex charge of the beam. In addition, the on-axis energy flow and spin angular momentum in the focal plane can also be well modulated, accompanying the rotational Doppler effect of the vector vortex beam. Our results may be applied to an optical micro-manipulation, especially for some kinds of microparticles which are sensitive to frequency changes. Full article
(This article belongs to the Special Issue Advances in Laser Field Manipulation)
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