Citation
Tesfaye Gebremariam, Getachew Assefa, Dr. Mesfin Tadesse, 2026. "Broadband Time-Domain Waveform Reconstruction Algorithms for Non-Contact Magnetic Probing", International Journal of Electronics and Communication Engineering Research (IJECER) 1(1): 111-128.
Abstract
Non-contact magnetic probing is a technique for sensing electromagnetic activity of systems without physical interfacing with the target. The method has also recently attracted much attention in a variety of other applications like integrated circuit diagnosis, electromagnetic interference analysis, fault detection, biomedical sensing, wireless communication monitoring and security assessment of electronic equipment. Non-contact magnetic probes collect data by measuring changes in magnetic fields created by electrical currents and electromagnetic phenomena, rendering them a safe, non-invasive and extremely flexible means of signal acquisition. Nevertheless, the broadband electromagnetic signals are difficult to measure precisely because of sensor bandwidth limitation as well as environmental noise, signal attenuation, setting errors of probes and measurement distortions. Such challenges require the design of sophisticated waveform reconstruction algorithms that can recover time-domain signals from incomplete, noisy and distorted measurements.
Magnetic field measurements alone are only raw data that needs to be reconstructed into accurate time domain waveforms of different underlaying electromagnetic activities, making broadband time-domain waveform reconstruction one of the most important parts of a realistic magnetic sensor. Conventional reconstruction techniques typically involve signal filtering, interpolation, inverse modeling and processing in the frequency domain. Although these methods work reasonably well in ideal testing situations, they will most likely fail with high bandwidth broadband signals low signal-to-noise ratios and complex electromagnetic environment conditions. More recent advancements in signal processing, compressed sensing (CS), machine learning (ML), and deep learning (DL) have opened new opportunities for improved accuracy and efficiency of reconstruction. Such a modern strategy allows for more successful recovery of transient events, high-rate components, and certain nonlinear signal properties that are challenging to catch with previous methods.
This study explores algorithms for reconstructing broadband time-domain waveforms from non-contact magnetic probing systems. This research is in the theory of sensing an electromagnetic field, signal acquisition methods and reconstruction techniques. This survey paper analyzes and compares a wide range of algorithmic techniques adapted from inverse problem formulation, sparse signal recovery, compressed sensing techniques such as adaptive filtering, optimization-based reconstruction and more recently artificial intelligence-driven models. The research includes strategies to reduce noise, enhance signals and minimize measurement uncertainty aimed at improving quality of the reconstructions.
Keywords
Non-Contact Magnetic Probing
Waveform Reconstruction
Broadband Signal Processing
Compressed Sensing
Electromagnetic Field Measurement
Deep Learning
Time-Domain Analysis
References
- 1. Stratton, J.A. (1941) Electromagnetic Theory. New York: McGraw-Hill.
- 2. Griffiths, D.J. (2013) Introduction to Electrodynamics. 4th edn. Boston: Pearson.
- 3. Leferink, F. (2000) ‘Near-Field Scanning Techniques for Electromagnetic Compatibility Measurements’, IEEE Transactions on Electromagnetic Compatibility, 42(3), pp. 329–338.
- 4. Ripka, P. (2001) Magnetic Sensors and Magnetometers. Boston: Artech House.
- 5. Balanis, C.A. (2012) Advanced Engineering Electromagnetics. 2nd edn. Hoboken: Wiley.
- 6. Haykin, S. (2014) Adaptive Filter Theory. 5th edn. Upper Saddle River: Pearson.
- 7. Oppenheim, A.V. and Schafer, R.W. (2010) Discrete-Time Signal Processing. 3rd edn. Upper Saddle River: Pearson.
- 8. Mallat, S. (2009) A Wavelet Tour of Signal Processing. 3rd edn. Burlington: Academic Press.
- 9. Candès, E.J. and Wakin, M.B. (2008) ‘An Introduction to Compressive Sampling’, IEEE Signal Processing Magazine, 25(2), pp. 21–30.
- 10. Donoho, D.L. (2006) ‘Compressed Sensing’, IEEE Transactions on Information Theory, 52(4), pp. 1289–1306.
- 11. Baraniuk, R.G. (2007) ‘Compressive Sensing’, IEEE Signal Processing Magazine, 24(4), pp. 118–121.
- 12. LeCun, Y., Bengio, Y. and Hinton, G. (2015) ‘Deep Learning’, Nature, 521(7553), pp. 436–444.
- 13. Goodfellow, I., Bengio, Y. and Courville, A. (2016) Deep Learning. Cambridge, MA: MIT Press.
- 14. Hochreiter, S. and Schmidhuber, J. (1997) ‘Long Short-Term Memory’, Neural Computation, 9(8), pp. 1735–1780.
- 15. Vaswani, A., Shazeer, N., Parmar, N., Uszkoreit, J., Jones, L., Gomez, A.N., Kaiser, Ł. and Polosukhin, I. (2017) ‘Attention Is All You Need’, Advances in Neural Information Processing Systems, 30, pp. 5998–6008.
- 16. Lustig, M., Donoho, D. and Pauly, J.M. (2007) ‘Sparse MRI: The Application of Compressed Sensing for Rapid MR Imaging’, Magnetic Resonance in Medicine, 58(6), pp. 1182–1195.
- 17. Tropp, J.A. and Gilbert, A.C. (2007) ‘Signal Recovery from Random Measurements via Orthogonal Matching Pursuit’, IEEE Transactions on Information Theory, 53(12), pp. 4655–4666.
- 18. Boyd, S. and Vandenberghe, L. (2004) Convex Optimization. Cambridge: Cambridge University Press.
- 19. Unser, M. (2000) ‘Sampling—50 Years After Shannon’, Proceedings of the IEEE, 88(4), pp. 569–587.
- 20. Kailath, T., Sayed, A.H. and Hassibi, B. (2000) Linear Estimation. Upper Saddle River: Prentice Hall.
- 21. Nyquist, H. (1928) ‘Certain Topics in Telegraph Transmission Theory’, Transactions of the AIEE, 47, pp. 617–644.
- 22. Shannon, C.E. (1949) ‘Communication in the Presence of Noise’, Proceedings of the IRE, 37(1), pp. 10–21.
- 23. Stoica, P. and Moses, R. (2005) Spectral Analysis of Signals. Upper Saddle River: Pearson.
- 24. Mishali, M. and Eldar, Y.C. (2010) ‘From Theory to Practice: Sub-Nyquist Sampling of Sparse Wideband Analog Signals’, IEEE Journal of Selected Topics in Signal Processing, 4(2), pp. 375–391.
- 25. Chollet, F. (2021) Deep Learning with Python. 2nd edn. Shelter Island, NY: Manning Publications.
- 26. Brownlee, J. (2018) Deep Learning for Time Series Forecasting. Melbourne: Machine Learning Mastery.
- 27. Krizhevsky, A., Sutskever, I. and Hinton, G.E. (2017) ‘ImageNet Classification with Deep Convolutional Neural Networks’, Communications of the ACM, 60(6), pp. 84–90.
- 28. Szeliski, R. (2022) Computer Vision: Algorithms and Applications. 2nd edn. Cham: Springer.
- 29. He, K., Zhang, X., Ren, S. and Sun, J. (2016) ‘Deep Residual Learning for Image Recognition’, Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 770–778.
- 30. Bengio, Y., Courville, A. and Vincent, P. (2013) ‘Representation Learning: A Review and New Perspectives’, IEEE Transactions on Pattern Analysis and Machine Intelligence, 35(8), pp. 1798–1828.