INFORMATION TECHNOLOGY FOR ACOUSTIC OBJECT TRACKING USING ASYNCHRONOUS TDOA/FDOA LOCALIZATION METHOD
DOI: 10.31673/2412-4338.2026.019004
Abstract
The article considers the urgent scientific and applied problem of acoustic tracking of high-speed moving objects (in particular, unmanned aerial vehicles) in geographically distributed wireless sensor networks. The main obstacle to the implementation of such systems based on low-cost microcontrollers is the lack of strict hardware time synchronization, which leads to significant errors in calculating spatial coordinates. Existing localization methods are analyzed, and their vulnerability to clock drift and limited communication channel bandwidth is identified. To address these shortcomings, a comprehensive information technology has been developed that combines algorithmic compensation of asynchrony and network optimization. An improved method of joint TDOA/FDOA (Time and Frequency Difference of Arrival) localization based on the use of a modified extended Kalman filter (EKF) is proposed. The specific feature of the algorithm is the integration of asynchrony parameters (initial time offset and linear frequency drift) directly into the system's state vector, which allows for joint estimation of target kinematics and network synchronization in real time. In addition, the system architecture based on the Edge Computing concept is justified. An energy-efficient adaptive data transmission strategy and information compression algorithms at the edge node level (dynamic quantization of FFT spectral features, Delta-Encoding of timestamps) are proposed. This allows for a radical reduction in network traffic, avoiding the continuous transmission of raw audio data, which is critically important for autonomous battery-powered systems. The proposed comprehensive approach solves the scalability problem and allows for the deployment of reliable security perimeters based on affordable commercial off-the-shelf components. The effectiveness of the developed algorithmic and architectural solutions is fully confirmed by the results of simulation modeling..
Keywords: acoustic tracking, TDOA, FDOA, asynchronous localization, extended Kalman filter, edge computing, data compression, quantization.
References
- Akyildiz, I., Wy, S., Sankarasubramaniam, Y., & Cayirci, E. (2002). Wireless sensor networks: A survey.
- Niu, Y.-X., Shi, S.-W., Qi, C.-D., & Zheng, Z.-J. (2017). Improved localization algorithm with FDOA measurements. У 2nd Annual International Conference on Electronics, Electrical Engineering and Information Science (EEEIS 2016). Atlantis Press. https://doi.org/10.2991/eeeis-16.2017.94
- Xiao, G., Dong, Q., Liao, G., Li, S., Xu, K., & Quan, Y. (2024). High-Precision Joint TDOA and FDOA Location System. Remote Sensing, 16(4), 693. https://doi.org/10.3390/rs16040693
- Wu, P., Su, S., Zuo, Z., Guo, X., Sun, B., & Wen, X. (2019). Time Difference of Arrival (TDoA) Localization Combining Weighted Least Squares and Firefly Algorithm. Sensors, 19(11), 2554. https://doi.org/10.3390/s19112554
- F., W., Fischer, E., Eckhard, G., & Peter, L. (2006). An indoor localization system based on DTDOA for different wireless LAN systems.
- Wang, Y., & Ho, K. C. (2013). TDOA Source Localization in the Presence of Synchronization Clock Bias and Sensor Position Errors. IEEE Transactions on Signal Processing, 61(18), 4532–4544. https://doi.org/10.1109/tsp.2013.2271750
- He, S., Dong, X., & Lu, W.-S. (2017). Localization algorithms for asynchronous time difference of arrival positioning systems. EURASIP Journal on Wireless Communications and Networking, 2017(1). https://doi.org/10.1186/s13638-017-0851-1
- Hugo Seuté, Cyrille Enderli, Jean-François Grandin, Ali Khenchaf & Jean-Christophe Cexus. (2017). Influence of Synchronization Impairments on an Experimental TDOA/FDOA Localization System. J. of Electrical Engineering, 5(1). https://doi.org/10.17265/2328-2223/2017.01.001
- Fathabadi, V., Mehdi, S., K., S., & Jargani, L. (2009). Comparison of Adaptive Kalman Filter Methods in State Estimation of a Nonlinear System Using Asynchronous Measurements.
- Brouk, J. D., & DeMars, K. J. (2024). Kalman Filtering with Uncertain and Asynchronous Measurement Epochs. NAVIGATION: Journal of the Institute of Navigation, 71(3), navi.652. https://doi.org/10.33012/navi.652
- Review of Edge Computing for the Internet of Things (EC-IoT): Techniques, Challenges and Future Directions. (2024). Journal of Sensor Networks and Data Communications, 4(1), 01–11. https://doi.org/10.33140/jsndc.04.01.09
- Shi, W., Cao, J., Zhang, Q., Li, Y., & Xu, L. (2016). Edge Computing: Vision and Challenges. IEEE Internet of Things Journal, 3(5), 637–646. https://doi.org/10.1109/jiot.2016.2579198
- Espressif. (2025). ESP32 Series Datasheet. https://documentation.espressif.com/esp32_datasheet_en.pdf
- Inc., I. (2015). Omnidirectional Microphone with Bottom Port and I 2 S Digital Output. https://invensense.tdk.com/wp-content/uploads/2015/02/INMP441.pdf
- Suwannaphong, T., Jovan, F., Craddock, I., & McConville, R. (2025). Optimising TinyML with quantization and distillation of transformer and mamba models for indoor localisation on edge devices. Scientific Reports, 15(1). https://doi.org/10.1038/s41598-025-94205-9
- Thakshila, W., & Pramod, V. K. (2017). Application of Compressive Sensing Techniques in Distributed Sensor Networks: A Survey.
- Hwang, S.-H., Kim, K.-M., Kim, S., & Kwak, J. W. (2023). Lossless Data Compression for Time-Series Sensor Data Based on Dynamic Bit Packing. Sensors, 23(20), 8575. https://doi.org/10.3390/s23208575
- Vinaykumar, H. (2025). Bandwidth and Storage Optimization for CubeSats Through Adaptive Delta Encoding and Heatshrink Compression.
- Scott, V. (2013). heatshrink: An Embedded Data Compression Library. https://spin.atomicobject.com/heatshrink-embedded-data-compression/
- Fujii, K. (2013). Extended kalman filter. Refernce Manual, 14(41), 2.
- Cohen, A., & Migliorati, G. (2017). Optimal weighted least-squares methods. The SMAI journal of computational mathematics, 3, 181–203. https://doi.org/10.5802/smai-jcm.24