References & Further Reading
References
- Q. Wu and R. Zhang, Intelligent Reflecting Surface Enhanced Wireless Network via Joint Active and Passive Beamforming, 2019
The signal-model foundation reused throughout this chapter. Section II.A of this paper is the canonical statement of the cascaded channel model.
- C. Pan, H. Ren, K. Wang, W. Xu, M. Elkashlan, A. Nallanathan, and L. Hanzo, Multicell MIMO Communications Relying on Intelligent Reflecting Surfaces, 2020
Develops the multi-antenna cascaded channel with explicit Khatri-Rao vectorization. The vec-identity used in Theorem 3.3 is stated as Eq. (5) here.
- E. Basar et al., Wireless Communications Through Reconfigurable Intelligent Surfaces, 2019
Section IV develops the fading and Ricean channel models used in this chapter. A good complement to the deterministic LoS analysis.
- W. Tang et al., Wireless Communications With Reconfigurable Intelligent Surface: Path Loss Modeling and Experimental Measurements, 2021
Careful LoS channel derivation with experimental validation. The measurement data cross-check the analytical steering-vector model.
- E. Björnson and L. Sanguinetti, Rayleigh Fading Modeling and Channel Hardening for Reconfigurable Intelligent Surfaces, 2021
The RIS correlation model used in Section 3.3. Shows that isotropic-scattering correlation has the sinc form and derives the effective-DoF formula.
- M. Cui and L. Dai, Channel Estimation for Extremely Large-Scale MIMO: Far-Field or Near-Field?, 2022
The clearest modern statement of the near-field/far-field boundary for large arrays. Introduces the near-field focusing viewpoint and the additional rank it provides.
- D. Chizhik, G. J. Foschini, M. J. Gans, and R. A. Valenzuela, Keyholes, correlations, and capacities of multielement transmit and receive antennas, 2002
The original experimental observation of the keyhole phenomenon in MIMO. Historically important; establishes the rank-1 pathology that RIS rediscovers as a design feature.
- P. Almers, F. Tufvesson, and A. F. Molisch, Keyhole effect in MIMO wireless channels: Measurements and theory, 2006
Theoretical treatment of keyhole channels with explicit measurement. The double-Rayleigh distribution analysis used in Section 3.3.
- D. Gesbert, H. Bölcskei, D. A. Gore, and A. J. Paulraj, Outdoor MIMO wireless channels: Models and performance prediction, 2002
Classical outdoor MIMO measurement and modeling paper. Discusses keyhole channels in street-canyon and hallway scenarios — the same geometry that RIS tries to enable deliberately.
- G. Caire et al., Multiuser Multibeam Array-Fed RIS for High-Frequency Bands, 2023
CommIT contribution. The near-field coupling between a small active array and a large passive RIS produces a high-rank BS-RIS channel, enabling multi-user multiplexing. The practical rationale for the near-field analysis of Section 3.4.
- M. K. Simon and M.-S. Alouini, Digital Communication over Fading Channels, Wiley-IEEE Press, 2nd ed., 2005
The reference for double-Rayleigh and cascaded fading distributions. Chapter 2 contains the PDFs, CDFs, and outage formulas for every cascaded fading model you are likely to encounter.
- C. A. Balanis, Antenna Theory: Analysis and Design, Wiley, 4th ed., 2016
Chapter 2 covers the Fraunhofer/Fresnel near-field analysis for antennas. Chapter 6 develops steering-vector formalism for arrays. Direct background for Sections 3.2 and 3.4.
- M. Di Renzo et al., Smart Radio Environments Empowered by Reconfigurable Intelligent Surfaces: How It Works, State of Research, and the Road Ahead, 2020
Comprehensive survey. Section IV on channel modeling is directly relevant to the cascaded-channel and correlation analyses in this chapter.
Further Reading
Selected resources for those who want to dig deeper into RIS channel modeling and near-field effects.
Full 3D near-field channel modeling
H. Lu and Y. Zeng, 'Communicating With Extremely Large-Scale Array/Surface: Unified Modeling and Performance Analysis,' IEEE TWC, 2022
Unified near-field model including polarization and finite-aperture effects. Goes beyond the scalar model of this chapter.
Spatial correlation beyond isotropic scattering
Björnson, Hoydis, and Sanguinetti, Massive MIMO Networks, Chapters 2–3
General treatment of spatial correlation in structured scattering environments (angle spread, angular clusters).
Measurement-based RIS channels
Tang et al. (2021), 'Path Loss Modeling and Experimental Measurements' (key reference above)
The only early paper that measures the full RIS channel under controlled conditions. Calibrates the constants in the analytical model.
Array-fed and near-field RIS architectures
G. Caire et al. (2023), 'Multiuser Multibeam Array-Fed RIS...' (CommIT contribution)
The architectural context for the near-field analysis of Section 3.4. Read this if you want to understand *why* we care about the near-field in a communication setting.
Rank and MIMO capacity of cascaded channels
Y. Liu et al., 'Reconfigurable Intelligent Surface Empowered Wireless Communications: A Deep Overview,' IEEE JSTSP, 2022
A broader survey that places the rank-keyhole analysis of Section 3.3 in the context of MIMO capacity theory.