Fundamental Limits of Cooperative Integrated Sensing and Communications over Low-Earth Orbit THz Satellite Channels
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| Format: | Preprint |
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2025
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| _version_ | 1866917032010711040 |
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| author | Dong, Haofan Wang, Houtianfu Cai, Hanlin Akan, Ozgur B. |
| author_facet | Dong, Haofan Wang, Houtianfu Cai, Hanlin Akan, Ozgur B. |
| contents | Terahertz inter-satellite links enable unprecedented sensing precision for Low Earth Orbit (LEO) constellations, yet face fundamental bounds from hardware impairments, pointing errors, and network interference. We develop a Network Cramér-Rao Lower Bound (N-CRLB) framework incorporating dynamic topology, hardware quality factor $Γ_{\text{eff}}$, phase noise $σ^2_ϕ$, and cooperative effects through recursive Fisher Information analysis. Our analysis reveals three key insights: (i) hardware and phase noise create power-independent performance ceilings ($σ_{\text{ceiling}} \propto \sqrt{Γ_{\text{eff}}}$) and floors ($σ_{\text{floor}} \propto \sqrt{σ^2_ϕ}/f_c$), with power-only scaling saturating above $\text{SNR}_{\text{crit}}=1/Γ_{\text{eff}}$; (ii) interference coefficients $α_{\ell m}$ enable opportunistic sensing with demonstrated gains of 5.5~dB under specific conditions (65~dB processing gain, 50~dBi antennas); (iii) measurement correlations from shared timing references, when properly modeled, do not degrade performance and can provide common-mode rejection benefits compared to mismodeled independent-noise baselines. Sub-millimeter ranging requires co-optimized hardware ($Γ_{\text{eff}}<0.01$), oscillators ($σ^2_ϕ<10^{-2}$), and appropriate 3D geometry configurations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_19007 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fundamental Limits of Cooperative Integrated Sensing and Communications over Low-Earth Orbit THz Satellite Channels Dong, Haofan Wang, Houtianfu Cai, Hanlin Akan, Ozgur B. Signal Processing Terahertz inter-satellite links enable unprecedented sensing precision for Low Earth Orbit (LEO) constellations, yet face fundamental bounds from hardware impairments, pointing errors, and network interference. We develop a Network Cramér-Rao Lower Bound (N-CRLB) framework incorporating dynamic topology, hardware quality factor $Γ_{\text{eff}}$, phase noise $σ^2_ϕ$, and cooperative effects through recursive Fisher Information analysis. Our analysis reveals three key insights: (i) hardware and phase noise create power-independent performance ceilings ($σ_{\text{ceiling}} \propto \sqrt{Γ_{\text{eff}}}$) and floors ($σ_{\text{floor}} \propto \sqrt{σ^2_ϕ}/f_c$), with power-only scaling saturating above $\text{SNR}_{\text{crit}}=1/Γ_{\text{eff}}$; (ii) interference coefficients $α_{\ell m}$ enable opportunistic sensing with demonstrated gains of 5.5~dB under specific conditions (65~dB processing gain, 50~dBi antennas); (iii) measurement correlations from shared timing references, when properly modeled, do not degrade performance and can provide common-mode rejection benefits compared to mismodeled independent-noise baselines. Sub-millimeter ranging requires co-optimized hardware ($Γ_{\text{eff}}<0.01$), oscillators ($σ^2_ϕ<10^{-2}$), and appropriate 3D geometry configurations. |
| title | Fundamental Limits of Cooperative Integrated Sensing and Communications over Low-Earth Orbit THz Satellite Channels |
| topic | Signal Processing |
| url | https://arxiv.org/abs/2510.19007 |