ENGINEERING Information Technology & Electronic Engineering  2026 Vol.27 No.8 P.1-16

http://doi.org/10.1631/ENG.ITEE.2026.0090


Continuous aperture array-assisted integrated communication and navigation in low Earth orbit satellite constellations


Author(s):  Qi WANG, Xiaoming CHEN, Qiao QI, Zhaolin WANG, Yuanwei LIU

Affiliation(s):  1. College of Information Science and Electronic Engineering, Zhejiang University, Hangzhou 310027, China more

Corresponding email(s):   chen_xiaoming@zju.edu.cn

Key Words:  Sixth-generation (6G), Electromagnetic information theory, Low Earth orbit (LEO) satellite constellation, Continuous aperture array, Integrated communication and navigation (ICAN)


Qi WANG, Xiaoming CHEN, Qiao QI, Zhaolin WANG, Yuanwei LIU. Continuous aperture array-assisted integrated communication and navigation in low Earth orbit satellite constellations[J]. Journal of Zhejiang University Science C, 2026, 27(8): 1-16.

@article{title="Continuous aperture array-assisted integrated communication and navigation in low Earth orbit satellite constellations",
author="Qi WANG, Xiaoming CHEN, Qiao QI, Zhaolin WANG, Yuanwei LIU",
journal="Journal of Zhejiang University Science C",
volume="27",
number="8",
pages="1-16",
year="2026",
publisher="Zhejiang University Press & Springer",
doi="10.1631/ENG.ITEE.2026.0090"
}

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%T Continuous aperture array-assisted integrated communication and navigation in low Earth orbit satellite constellations
%A Qi WANG
%A Xiaoming CHEN
%A Qiao QI
%A Zhaolin WANG
%A Yuanwei LIU
%J Frontiers of Information Technology & Electronic Engineering
%V 27
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%I Zhejiang University Press & Springer
%DOI 10.1631/ENG.ITEE.2026.0090

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T1 - Continuous aperture array-assisted integrated communication and navigation in low Earth orbit satellite constellations
A1 - Qi WANG
A1 - Xiaoming CHEN
A1 - Qiao QI
A1 - Zhaolin WANG
A1 - Yuanwei LIU
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 27
IS - 8
SP - 1
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/ENG.ITEE.2026.0090


Abstract: 
This paper proposes a novel continuous aperture array (CAPA)-assisted integrated communication and navigation (ICAN) framework for low Earth orbit (LEO) satellite constellations. Within this framework, an electromagnetic-based collaborative transmission model is developed, in which multiple satellites equipped with CAPAs simultaneously radiate downlink data streams and navigation reference signals over a shared spectrum. Building upon this, the achievable communication rate and the navigation Cramér–Rao bound (CRB) are derived, which explicitly characterize the intrinsic coupling between the dual-function beamformers and system performance. To improve the positioning accuracy with a communication quality of service guarantee, a joint beamforming optimization problem is formulated to minimize the average CRB subject to transmit power budgets and minimum rate constraints. To tackle the inherent infinite dimensionality of the CAPA beamformer design, an ICAN channel subspace is introduced to equivalently transform the formulation into a tractable finite-dimensional problem, which is then efficiently solved via an iterative convex optimization algorithm. Finally, numerical results demonstrate that the proposed CAPA-assisted beamforming design algorithm significantly outperforms conventional discrete phased array architectures and other benchmark schemes, yielding notable improvements in ICAN performance.

连续孔径阵列辅助的低轨卫星星座通信导航一体化

王琦1,陈晓明1,齐俏2,王照霖3,刘元玮3
1浙江大学信息与电子工程学院,中国杭州市,310027
2杭州师范大学信息科学与技术学院,中国杭州市,311121
3香港大学电机与计算机工程学系,中国香港特别行政区,999077
摘要:本文提出了一种新颖的连续孔径阵列辅助的低轨卫星星座通信导航一体化架构。在该架构中,构建了基于电磁理论的协同传输模型,其中多个部署有连续孔径阵列的卫星在共享频谱上同时发射下行数据信号和导航参考信号。在此基础上,推导了可达的通信传输速率和导航克拉美罗下界,显式刻画了双功能波束成形与系统性能之间的内在耦合关系。为在保障通信服务质量的同时提升导航定位精度,本文建立了联合波束成形优化问题,在发射功率预算和最小速率约束下最小化平均克拉美罗下界。针对连续孔径阵列波束成形设计固有的无限维特性,本文引入通信导航一体化信道子空间,将原问题等价转化为可处理的有限维优化问题,并进一步通过迭代凸优化算法进行高效求解。最后,数值结果表明,所提出的连续孔径阵列辅助波束成形设计算法显著优于传统离散相控阵架构及其他基准方案,能够有效提升低轨卫星星座通信导航一体化性能。

关键词:6G;电磁信息论;低轨卫星星座;连续孔径阵列;通信导航一体化

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]Al-Hourani A, 2021. Session duration between handovers in dense LEO satellite networks. IEEE Wirel Commun Lett, 10(12):2810-2814.

[2]An J, Yuen C, Huang C, et al., 2023. A tutorial on holographic MIMO communications—Part II: performance analysis and holographic beamforming. IEEE Commun Lett, 27(7):1669-1673.

[3]Closas P, Fernandez-Prades C, Fernandez-Rubio JA, 2007. Maximum likelihood estimation of position in GNSS. IEEE Signal Process Lett, 14(5):359-362.

[4]Closas P, Fernandez-Prades C, Fernandez-Rubio JA, 2009. Cramér–Rao bound analysis of positioning approaches in GNSS receivers. IEEE Trans Signal Process, 57(10):3775-3786.

[5]Dardari D, 2020. Communicating with large intelligent surfaces: fundamental limits and models. IEEE J Sel Areas Commun, 38(11):2526-2537.

[6]Feng BK, Jenn DC, 2015. Two-way pattern grating lobe control for distributed digital subarray antennas. IEEE Trans Antenn Propag, 63(10):4375-4383.

[7]Iannucci PA, Humphreys TE, 2024. Fused low-Earth-orbit GNSS. IEEE Trans Aerosp Electron Syst, 60(4):3730-3749.

[8]Jensen MA, Wallace JW, 2008. Capacity of the continuous-space electromagnetic channel. IEEE Trans Antenn Propag, 56(2):524-531.

[9]Jin L, Wang LT, Jin XH, et al., 2022. Research on the application of LEO satellite in IoT. Proc 2nd IEEE Int Conf on Electronic Technology, Communication and Information, p.739-741.

[10]Jin L, Xu XD, Han SJ, et al., 2024. Achievable rate of linear holographic MIMO with arbitrary aperture-length. IEEE Trans Wirel Commun, 23(11):16742-16756.

[11]Li KX, You L, Wang JH, et al., 2022. Downlink transmit design for massive MIMO LEO satellite communications. IEEE Trans Commun, 70(2):1014-1028.

[12]Lin SN, An JC, Gan L, et al., 2024. Stacked intelligent metasurface enabled LEO satellite communications relying on statistical CSI. IEEE Wirel Commun Lett, 13(5):1295-1299.

[13]Liu JY, Chen ZY, Wang SX, et al., 2025. A joint time-frequency channel estimation method for ICAN-enabled LEO satellites. IEEE Trans Veh Technol, 74(11):18140-18145.

[14]Liu YW, Ouyang CJ, Wang ZL, et al., 2025. CAPA: continuous-aperture arrays for revolutionizing 6G wireless communications. IEEE Wirel Commun, 32(4):38-45.

[15]Olver FW, Lozier DW, Boisvert RF, et al., 2010. NIST Handbook of Mathematical Functions. Cambridge University Press, Cambridge, UK.

[16]Ouyang CJ, Liu YW, Zhang XQ, 2024. On the performance of continuous aperture array (CAPA)-based wireless communications. Proc IEEE Global Communications Conf, p.193-198.

[17]Sanguinetti L, D’Amico AA, Debbah M, 2023. Wavenumber-division multiplexing in line-of-sight holographic MIMO communications. IEEE Trans Wirel Commun, 22(4):2186-2201.

[18]Wang HQ, Shlezinger N, Eldar YC, et al., 2021. Dynamic metasurface antennas for MIMO-OFDM receivers with bit-limited ADCs. IEEE Trans Commun, 69(4):2643-2659.

[19]Wang KY, So AMC, Chang TH, et al., 2014. Outage constrained robust transmit optimization for multiuser MISO downlinks: tractable approximations by conic optimization. IEEE Trans Signal Process, 62(21):5690-5705.

[20]Wang Z, Zhang JY, Yi WH, et al., 2025. Analytical framework for effective degrees of freedom in near-field XL-MIMO. IEEE Trans Wirel Commun, 24(4):3465-3482.

[21]Wang ZL, Mu XD, Liu YW, 2023. Stars enabled integrated sensing and communications. IEEE Trans Wirel Commun, 22(10):6750-6765.

[22]Wang ZL, Ouyang CJ, Liu YW, 2025a. Beamforming optimization for continuous aperture array (CAPA)-based communications. IEEE Trans Wirel Commun, 24(6):5099-5113.

[23]Wang ZL, Ouyang CJ, Liu YW, 2025b. Optimal beamforming for multi-user continuous aperture array (CAPA) systems. IEEE Trans Commun, 73(10):9207-9221.

[24]Wang ZL, Ouyang CJ, Liu YW, 2026. Beamforming design for continuous aperture array (CAPA)-based MIMO systems. IEEE Trans Wirel Commun, 25:2167-2182.

[25]Ying M, Chen XM, Qi Q, et al., 2024. Deep learning-based joint channel prediction and multibeam precoding for LEO satellite Internet of Things. IEEE Trans Wirel Commun, 23(10):13946-13960.

[26]Ying M, Chen XM, Qi Q, et al., 2026. QoS-driven satellite constellation design for LEO satellite Internet of Things. IEEE Trans Wirel Commun, 25:3610-3625.

[27]You L, Qiang XY, Zhu YX, et al., 2024. Integrated communications and localization for massive MIMO LEO satellite systems. IEEE Trans Wirel Commun, 23(9):11061-11075.

[28]Zhang Y, Ouyang CJ, Shan HG, et al., 2025. Exploiting continuous-aperture arrays in integrated sensing and communication systems. IEEE Trans Wirel Commun, 24(11):9539-9555.

[29]Zhang Y, Shan HG, Ouyang CJ, et al., 2026. Continuous-aperture array for integrated sensing and communication: rate-CRB tradeoff. IEEE Trans Wirel Commun, 25:4215-4230.

[30]Zhang ZJ, Dai LL, 2023. Pattern-division multiplexing for multi-user continuous-aperture MIMO. IEEE J Sel Areas Commun, 41(8):2350-2366.

[31]Zhao BQ, Ouyang CJ, Zhang XQ, et al., 2024. On the performance of physical layer security for continuous-aperture array (CAPA) systems.

[32]Zhao BQ, Ouyang CJ, Zhang XQ, et al., 2026. Downlink and uplink ISAC in continuous-aperture array (CAPA) systems. IEEE Trans Wirel Commun, 25:3592-3609.

[33]Zhao JJ, Song HW, Cai KQ, et al., 2025. Continuous aperture array (CAPA)-based secure wireless communications. IEEE Trans Commun, 73(12):15474-15488.

[34]Zorich VA, Paniagua O, 2016. Mathematical Analysis II (2nd Ed.). Springer Berlin, Heidelberg, Germany.

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Full Text:   <7>

CLC number: TN927.2

On-line Access: 2026-06-02

Received: 2026-04-01

Revision Accepted: 2026-06-16

Crosschecked: 2026-06-24

Cited: 0

Clicked: 22

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Qi WANG

0000-0002-8079-2161

Xiaoming CHEN

0000-0002-1818-2135

Qiao QI

0000-0002-5120-6186

Zhaolin WANG

0000-0003-4614-0175

Yuanwei LIU

0000-0002-6389-8941

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