Integrated Sensing and Communication (ISAC) has emerged as a promising technology for next-generation wireless networks. In this work, we tackle an ill-posed parameter estimation problem within ISAC, formulating it as a joint blind super-resolution and demixing problem. Leveraging the low-rank structures of the vectorized Hankel matrices associated with the unknown parameters, we propose a Riemannian gradient descent (RGD) method. Our theoretical analysis demonstrates that the proposed method achieves linear convergence to the target matrices under standard assumptions. Additionally, extensive numerical experiments validate the effectiveness of the proposed approach.
@article{arxiv.2410.08607,
title = {Riemannian Gradient Descent Method to Joint Blind Super-Resolution and Demixing in ISAC},
author = {Zeyu Xiang and Haifeng Wang and Jiayi Lv and Yujie Wang and Yuxue Wang and Yuxuan Ma and Jinchi Chen},
journal= {arXiv preprint arXiv:2410.08607},
year = {2024}
}