# The Potential of Using Large Antenna Arrays on Intelligent Surfaces

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding

### Standard

**The Potential of Using Large Antenna Arrays on Intelligent Surfaces.** / Hu, Sha; Rusek, Fredrik; Edfors, Ove.

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding

### Harvard

*2017 IEEE 85th Vehicular Technology Conference (VTC Spring) .*IEEE - Institute of Electrical and Electronics Engineers Inc., 2017 IEEE 85th Vehicular Technology Conference (VTC Spring) , Sydney, Australia, 2017/06/04. https://doi.org/10.1109/VTCSpring.2017.8108330

### APA

*2017 IEEE 85th Vehicular Technology Conference (VTC Spring)*IEEE - Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/VTCSpring.2017.8108330

### CBE

### MLA

*2017 IEEE 85th Vehicular Technology Conference (VTC Spring) .*IEEE - Institute of Electrical and Electronics Engineers Inc. 2017. https://doi.org/10.1109/VTCSpring.2017.8108330

### Vancouver

### Author

### RIS

TY - GEN

T1 - The Potential of Using Large Antenna Arrays on Intelligent Surfaces

AU - Hu, Sha

AU - Rusek, Fredrik

AU - Edfors, Ove

PY - 2017/11/16

Y1 - 2017/11/16

N2 - In this paper, we consider capacities of single-antenna terminals communicating to large antenna arrays that are deployed on surfaces. That is, the entire surface is used as an intelligent receiving antenna array. Under the condition that the surface area is sufficiently large, the received signal after matched-filtering (MF) can be well approximated by an intersymbol interference (ISI) channel where channel taps are closely related to a sinc function. Based on such an approximation, we have derived the capacities for both one-dimensional (terminals on a line) and high dimensional (terminals on a plane or in a cube) terminal-deployments. In particular, we analyze the normalized capacity $\bar{\mathcal{C}}$, measured in nats/s/Hz/m$^2$, under the constraint that the transmit power per m$^2$, $\bar{P}$, is fixed. We show that when the user-density increases, the limit of $\bar{\mathcal{C}}$, achieved as the wavelength $\lambda$ approaches 0, is $\bar{P}/(2N_0)$ nats/s/Hz/m$^2$, where $N_0$ is the spatial power spectral density (PSD) of noise. In addition, we also show that the number of signal dimensions is $2/\lambda$ per meter deployed surface for the one-dimensional case, and $\pi/\lambda^2$ per m$^2$ deployed surface for two and three dimensional terminal-deployments.

AB - In this paper, we consider capacities of single-antenna terminals communicating to large antenna arrays that are deployed on surfaces. That is, the entire surface is used as an intelligent receiving antenna array. Under the condition that the surface area is sufficiently large, the received signal after matched-filtering (MF) can be well approximated by an intersymbol interference (ISI) channel where channel taps are closely related to a sinc function. Based on such an approximation, we have derived the capacities for both one-dimensional (terminals on a line) and high dimensional (terminals on a plane or in a cube) terminal-deployments. In particular, we analyze the normalized capacity $\bar{\mathcal{C}}$, measured in nats/s/Hz/m$^2$, under the constraint that the transmit power per m$^2$, $\bar{P}$, is fixed. We show that when the user-density increases, the limit of $\bar{\mathcal{C}}$, achieved as the wavelength $\lambda$ approaches 0, is $\bar{P}/(2N_0)$ nats/s/Hz/m$^2$, where $N_0$ is the spatial power spectral density (PSD) of noise. In addition, we also show that the number of signal dimensions is $2/\lambda$ per meter deployed surface for the one-dimensional case, and $\pi/\lambda^2$ per m$^2$ deployed surface for two and three dimensional terminal-deployments.

U2 - 10.1109/VTCSpring.2017.8108330

DO - 10.1109/VTCSpring.2017.8108330

M3 - Paper in conference proceeding

BT - 2017 IEEE 85th Vehicular Technology Conference (VTC Spring)

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

ER -