Near-Field Channel Modeling for Electromagnetic Information Theory (2403.12268v2)
Abstract: Electromagnetic information theory (EIT) is one of the emerging topics for 6G communication due to its potential to reveal the performance limit of wireless communication systems. For EIT, the research foundation is reasonable and accurate channel modeling. Existing channel modeling works for EIT in non-line-of-sight (NLoS) scenario focus on far-field modeling, which can not accurately capture the characteristics of the channel in near-field. In this paper, we propose the near-field channel model for EIT based on electromagnetic scattering theory. We model the channel by using non-stationary Gaussian random fields and derive the analytical expression of the correlation function of the fields. Furthermore, we analyze the characteristics of the proposed channel model, e.g., channel degrees of freedom (DoF). Finally, we design a channel estimation scheme for near-field scenario by integrating the electromagnetic prior information of the proposed model. Numerical analysis verifies the correctness of the proposed scheme and shows that it can outperform existing schemes like least square (LS) and orthogonal matching pursuit (OMP).
- E. Basar, M. Di Renzo, J. De Rosny, M. Debbah, M.-S. Alouini, and R. Zhang, “Wireless communications through reconfigurable intelligent surfaces,” IEEE Access, vol. 7, pp. 116 753–116 773, Aug. 2019.
- Z. Wang, Z. Liu, Y. Shen, A. Conti, and M. Z. Win, “Location awareness in beyond 5G networks via reconfigurable intelligent surfaces,” IEEE J. Sel. Areas Commun., vol. 40, no. 7, pp. 2011 – 2025, Mar. 2022.
- C. Huang, S. Hu, G. C. Alexandropoulos, A. Zappone, C. Yuen, R. Zhang, M. Di Renzo, and M. Debbah, “Holographic MIMO surfaces for 6G wireless networks: Opportunities, challenges, and trends,” IEEE Wireless Commun., vol. 27, no. 5, pp. 118–125, Jul. 2020.
- Z. Zhang and L. Dai, “Pattern-division multiplexing for multi-user continuous-aperture MIMO,” IEEE J. Sel. Areas Commun., vol. 41, no. 8, pp. 2350–2366, Jun. 2023.
- M. Cui, Z. Wu, Y. Lu, X. Wei, and L. Dai, “Near-field MIMO communications for 6G: Fundamentals, challenges, potentials, and future directions,” IEEE Comm. Mag., vol. 61, no. 1, pp. 40–46, Sep. 2022.
- Z. Wu and L. Dai, “Multiple access for near-field communications: SDMA or LDMA?” IEEE J. Sel. Areas Commun., vol. 41, no. 6, pp. 1918–1935, May 2023.
- M. Chafii, L. Bariah, S. Muhaidat, and M. Debbah, “Twelve scientific challenges for 6G: Rethinking the foundations of communications theory,” IEEE Comm. Surveys Tut., Feb. 2023.
- M. D. Migliore, “Horse (electromagnetics) is more important than horseman (information) for wireless transmission,” IEEE Trans. Antennas Propag., vol. 67, no. 4, pp. 2046–2055, Apr. 2018.
- J. Zhu, Z. Wan, L. Dai, M. Debbah, and H. V. Poor, “Electromagnetic information theory: Fundamentals, modeling, applications, and open problems,” arXiv preprint arXiv:2212.02882, Dec. 2022.
- T. Gong, L. Wei, C. Huang, Z. Yang, J. He, M. Debbah, and C. Yuen, “Holographic MIMO communications with arbitrary surface placements: Near-field LoS channel model and capacity limit,” arXiv preprint arXiv:2304.05259, 2023.
- L. Wei, C. Huang, G. C. Alexandropoulos, Z. Yang, J. Yang, E. Wei, Z. Zhang, M. Debbah, and C. Yuen, “Tri-polarized holographic MIMO surfaces for near-field communications: Channel modeling and precoding design,” IEEE Trans. Wireless Commun., early access, 2023.
- A. Pizzo, A. Lozano, S. Rangan, and T. L. Marzetta, “Wide-aperture MIMO via reflection off a smooth surface,” IEEE Trans. Wireless Commun., vol. 22, no. 8, pp. 5229–5239, Jan. 2023.
- O. Bucci and G. Franceschetti, “On the spatial bandwidth of scattered fields,” IEEE Trans. Antennas Propag., vol. 35, no. 12, pp. 1445–1455, Dec. 1987.
- O. M. Bucci and G. Franceschetti, “On the degrees of freedom of scattered fields,” IEEE Trans. Antennas Propag., vol. 37, no. 7, pp. 918–926, Jul. 1989.
- M. Franceschetti, “On Landau’s eigenvalue theorem and information cut-sets,” IEEE Trans. Inf. Theory, vol. 61, no. 9, pp. 5042–5051, Jul. 2015.
- M. A. Jensen and J. W. Wallace, “Capacity of the continuous-space electromagnetic channel,” IEEE Trans. Antennas Propag., vol. 56, no. 2, pp. 524–531, Feb. 2008.
- W. Jeon and S.-Y. Chung, “Capacity of continuous-space electromagnetic channels with lossy transceivers,” IEEE Trans. Inf. Theory, vol. 64, no. 3, pp. 1977–1991, Dec. 2017.
- Z. Wan, J. Zhu, Z. Zhang, L. Dai, and C.-B. Chae, “Mutual information for electromagnetic information theory based on random fields,” IEEE Trans. Commun., early access, Feb. 2023, 10.1109/TCOMM.2023.3247725.
- A. Pizzo, L. Sanguinetti, and T. L. Marzetta, “Fourier plane-wave series expansion for holographic MIMO communications,” IEEE Trans. Wireless Commun., vol. 21, no. 9, pp. 6890–6905, Mar. 2022.
- E. Björnson and L. Sanguinetti, “Rayleigh fading modeling and channel hardening for reconfigurable intelligent surfaces,” IEEE Wireless Commun. Lett., vol. 10, no. 4, pp. 830–834, Dec. 2020.
- A. Pizzo, T. L. Marzetta, and L. Sanguinetti, “Spatially-stationary model for holographic MIMO small-scale fading,” IEEE J. Sel. Areas Commun., vol. 38, no. 9, pp. 1964–1979, Sep. 2020.
- Ö. T. Demir, E. Björnson, and L. Sanguinetti, “Channel modeling and channel estimation for holographic massive MIMO with planar arrays,” IEEE Wireless Commun. Lett., vol. 11, no. 5, pp. 997–1001, May 2022.
- Y. Liu, Z. Wang, J. Xu, C. Ouyang, X. Mu, and R. Schober, “Near-field communications: A tutorial review,” arXiv preprint arXiv:2305.17751, 2023.
- F. K. Gruber and E. A. Marengo, “New aspects of electromagnetic information theory for wireless and antenna systems,” IEEE Trans. Antennas Propag., vol. 56, no. 11, pp. 3470–3484, Nov. 2008.
- L. Li, L. G. Wang, F. L. Teixeira, C. Liu, A. Nehorai, and T. J. Cui, “DeepNIS: Deep neural network for nonlinear electromagnetic inverse scattering,” IEEE Trans. Antennas Propag., vol. 67, no. 3, pp. 1819–1825, Mar. 2018.
- 3GPP TR, “Study on channel model for frequencies from 0.5 to 100 ghz,” 3GPP TR 38.901 version 14.0.0 Release, Dec. 2019.
- J. Mercer, “Functions of positive and negative type, and their connection with the theory of integral equations,” Philos. Trans. Roy. Soc. London, vol. 209, no. 441-458, pp. 415–446, Jan. 1909.
- K. T. Selvan and R. Janaswamy, “Fraunhofer and Fresnel distances: Unified derivation for aperture antennas.” IEEE Antennas and Propag. Mag., vol. 59, no. 4, pp. 12–15, Aug. 2017.
- J. Wang, S. Kwon, and B. Shim, “Generalized orthogonal matching pursuit,” IEEE Trans. Signal Process., vol. 60, no. 12, pp. 6202–6216, Dec. 2012.