NONE 20260715103924520 wseas/wseas content-registration-form@crossref.org content-registration-form International Journal of Applied Mathematics Computational Science and Systems Engineering 2766-9823 Ahmed S. Abutaleb Cairo University EGYPT We study the case of two or more closely spaced reflectors of a moving target (the distance between the reflectors is less than the Fourier transform resolution). This is a common problem in synthetic aperture Radar (SAR) and inverse SAR (ISAR). We use adaptive noise canceling to find the sinusoid (representing small reflector) that is obscured by the sinusoid of the dominant reflector. Moreover the echo phase, of ISAR, is modeled to have an additive Wiener process that represents the error in the target Doppler shift equation. The maximum likelihood method of Girsanov theory is used to find the parameters of the recovered small signal. 07 15 2026 07 15 2026 60 5 https://creativecommons.org/licenses/by/4.0/deed.en_US 10.37394/232026.2026.8.5 https://wseas.com/journals/amcse/2026/a10amcse-005(2026).pdf K. Cuomo, 1992, “A BANDWIDTH EXTRAPOLATION TECHNIQUE FOR IMPROVED RANGE RESOLUTION OF COHERENT RADAR DATA”, MIT, Lincoln Lab., PROJECT REPORT CJP-60, Rev. I Yiding Wang , Yuanhao Li , Jiongda Song and Guanghui Zhao, 2024, “Random Stepped Frequency ISAR 2D Joint Imaging and Autofocusing by Using 2DAFCIFSBL”, Remote Sens. 16, 2521. https://doi.org/10.3390/rs16142521 A.Tufan, 2012, Comparative Evaluation of ISAR Processing Algorithms, M. Sc., Middle East Technical University, Turkey. Huang, P.; Li, S.; Li, W.; Zheng, M.; Tian, B.; Xu, S. Noise-Robust Radar HighResolution Range Profile Target Recognition Based on Residual Scattering Attention Network. Electronics 2024, 13, 4587. https://doi.org/10.3390/ electronics13234587 Roshahliza M. Ramli, Ali O. Abid Noor, and Salina Abdul Samad, 2012, “A Review of Adaptive Line Enhancers for Noise Cancellation”, Australian Journal of Basic and Applied Sciences, 6(6): 337-352. R. Lipster and A. Shiryaev, 1978, Statistics of Random Processes, Springer.