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Slow, Fast and Opportunistic FAMA: A Spatial Block-Correlation Analysis under Nakagami-m Fading Channels

Paulo R. de Moura, Hugerles S. Silva, Ugo S. Dias, Higo T. P. Silva

Abstract

This paper studies slow, fast and opportunistic fluid antenna multiple access (FAMA) under the effect of Nakagami-m fading channels, considering the new and realistic spatial blockcorrelation model. Expressions for the outage probability (OP), based on the signal-to-interference ratio (SIR), are derived for slow FAMA. Interestingly, we provide mathematical relationships that allow the expressions of fast FAMA to be obtained from slow FAMA. Multiplexing gains for an opportunistic FAMA (OFAMA) network are presented for both slow and fast FAMA scenarios. Our analytical results are validated through Monte Carlo simulations, under various channel and system parameters. All expressions derived in this work are original.

Slow, Fast and Opportunistic FAMA: A Spatial Block-Correlation Analysis under Nakagami-m Fading Channels

Abstract

This paper studies slow, fast and opportunistic fluid antenna multiple access (FAMA) under the effect of Nakagami-m fading channels, considering the new and realistic spatial blockcorrelation model. Expressions for the outage probability (OP), based on the signal-to-interference ratio (SIR), are derived for slow FAMA. Interestingly, we provide mathematical relationships that allow the expressions of fast FAMA to be obtained from slow FAMA. Multiplexing gains for an opportunistic FAMA (OFAMA) network are presented for both slow and fast FAMA scenarios. Our analytical results are validated through Monte Carlo simulations, under various channel and system parameters. All expressions derived in this work are original.

Paper Structure

This paper contains 18 sections, 17 equations, 4 figures.

Table of Contents

  1. Introduction
  2. FAMA Model
  3. System Model
  4. Channel and Spatial Correlation Models
  5. Slow FAMA under Nakagami-$m$ Channels with Spatial Block-Correlation Model
  6. Channel Model
  7. SIR Model
  8. Outage Probability Analysis
  9. Exact Expression
  10. Approximation
  11. Upper Bound
  12. Multiplexing Gain
  13. Fast FAMA under Nakagami-$m$ Channels with Spatial Block-Correlation Model
  14. Channel Model
  15. SIR Model
  16. ...and 3 more sections

Figures (4)

  • Figure 1: FAMA and O-FAMA systems.
  • Figure 2: OP curves for $s$-FAMA and $f$-FAMA systems, considering different $W$ and correlation models, with $U=5$, $m = 2$, and $\gamma = -3$ dB.
  • Figure 3: OP curves as a function of the SIR threshold for $s$-FAMA and $f$-FAMA considering different values of $m$ and $U$, with $N=100$ and $W=1$.
  • Figure 4: Multiplexing gain curves as a function of the number of users $U$ for $s$-FAMA, $f$-FAMA and O-FAMA under different settings of $M$, considering $N=100$, $W=1$, $m = 2$, and $\gamma = -3$ dB.