Successful Transmission Probability and SIR Meta Distribution Analysis for Multi-Antenna Cache-Enabled Networks with Interference Nulling

TL;DR

This paper investigates a multi-antenna cache-enabled network with interference nulling (IN) employed at base stations to improve the received signal-to-interference ratio (SIR) at users and compares the performance of these two IN schemes.

Abstract

This paper investigates a multi-antenna cache-enabled network with interference nulling (IN) employed at base stations. Two IN schemes, namely, the fixed IN scheme and the flexible IN scheme are considered to improve the received signal-to-interference ratio (SIR) at users. To thoroughly explore the effects of the caching parameter and the IN parameters on the network performance, we focus on the analysis of not only the successful transmission probability (STP) but the SIR meta distribution. For each IN scheme, the expression for the STP is derived and an approximated expression for the SIR meta distribution is also obtained by deriving the first and second moments of an upper bound of the link reliability and utilizing the beta distribution. With this analytical framework, we compare the performance of these two IN schemes and gain some useful system design guidelines from the perspectives of the STP and the SIR meta distribution by numerical simulations.

Figures (8)

• Figure 1: Verification of the analytical results of the STP, the upper bound on the STP, the approximation of the variance, and the approximation of the SIR meta distribution for the two IN schemes.
• Figure 2: The STP, variance, and meta distribution ($x_0 = 0.9$) versus the IN range $\mathsf{R_I}$ for different SIR thresholds $\tau$.
• Figure 3: The STP, variance, and meta distribution ($x_0 = 0.9$) versus the maximum IN DoF $L$ for different SIR thresholds $\tau$.
• Figure 4: The STP, variance, and meta distribution ($x_0 = 0.9$) versus the file diversity gain $\xi$ for different SIR thresholds $\tau$.
• Figure 5: Values of performance metrics under different SIR thresholds $\tau$ when optimizing the STP, the variance and the meta distribution ($x_0 = 0.9$).