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Matched-filter Precoded Rate Splitting Multiple Access: A Simple and Energy-efficient Design

Hui Zhao, Dirk Slock

TL;DR

An energy-efficient downlink rate splitting multiple access (RSMA) scheme, employing a simple matched filter (MF) for precoding, promising significantly improved energy efficiency and reduced complexity and achieves the same delivery performance as conventional RSMA.

Abstract

We introduce an energy-efficient downlink rate splitting multiple access (RSMA) scheme, employing a simple matched filter (MF) for precoding. We consider a transmitter equipped with multiple antennas, serving several single-antenna users at the same frequency-time resource, each with distinct message requests. Within the conventional 1-layer RSMA framework, requested messages undergo splitting into common and private streams, which are then precoded separately before transmission. In contrast, we propose a novel strategy where only an MF is employed to precode both the common and private streams in RSMA, promising significantly improved energy efficiency and reduced complexity. We demonstrate that this MF-precoded RSMA achieves the same delivery performance as conventional RSMA, where the common stream is beamformed using maximal ratio transmission (MRT) and the private streams are precoded by MF. Taking into account imperfect channel state information at the transmitter, we proceed to analyze the delivery performance of the MF-precoded RSMA. We derive the ergodic rates for decoding the common and private streams at a target user respectively in the massive MIMO regime. Finally, numerical simulations validate the accuracy of our analytical models, as well as demonstrate the advantages over conventional RSMA.

Matched-filter Precoded Rate Splitting Multiple Access: A Simple and Energy-efficient Design

TL;DR

An energy-efficient downlink rate splitting multiple access (RSMA) scheme, employing a simple matched filter (MF) for precoding, promising significantly improved energy efficiency and reduced complexity and achieves the same delivery performance as conventional RSMA.

Abstract

We introduce an energy-efficient downlink rate splitting multiple access (RSMA) scheme, employing a simple matched filter (MF) for precoding. We consider a transmitter equipped with multiple antennas, serving several single-antenna users at the same frequency-time resource, each with distinct message requests. Within the conventional 1-layer RSMA framework, requested messages undergo splitting into common and private streams, which are then precoded separately before transmission. In contrast, we propose a novel strategy where only an MF is employed to precode both the common and private streams in RSMA, promising significantly improved energy efficiency and reduced complexity. We demonstrate that this MF-precoded RSMA achieves the same delivery performance as conventional RSMA, where the common stream is beamformed using maximal ratio transmission (MRT) and the private streams are precoded by MF. Taking into account imperfect channel state information at the transmitter, we proceed to analyze the delivery performance of the MF-precoded RSMA. We derive the ergodic rates for decoding the common and private streams at a target user respectively in the massive MIMO regime. Finally, numerical simulations validate the accuracy of our analytical models, as well as demonstrate the advantages over conventional RSMA.
Paper Structure (10 sections, 4 theorems, 39 equations, 6 figures)

This paper contains 10 sections, 4 theorems, 39 equations, 6 figures.

Table of Contents

  1. Introduction
  2. System Model
  3. Conventional 1-layer RSMA With Linear Precoder
  4. MF-precoded RSMA Design
  5. Performance Analysis on MF-Precoded RSMA
  6. Analytical Model
  7. Convergence Results in Massive MIMO
  8. Numerical Results
  9. Conclusion
  10. Proof of Lemma \ref{['SINR_ck_lem']}

Key Result

Lemma 1

As $L,K \to \infty$ with a fixed ratio $\theta$ under imperfect CSIT, the transmission rate for the common stream to the $k$-th user has the convergence result:Unlike the convergence results observed in MF, ZF and RZF (cf. Rusek) where their rates converge to constants, we uncover an interesting fac

Figures (6)

  • Figure 1: Conventional 1-layer RSMA with linear precoder for downlink transmission
  • Figure 2: The transmitter structure of proposed MF-precoded RSMA
  • Figure 3: Ergodic sum rate versus $\rho$ for $\theta=5$, $\rho=0.5$, and $N=10$.
  • Figure 4: Ergodic sum rate versus $\rho$ for $L=12$, $K=4$, and $P_t=10$ dB.
  • Figure 5: Ergodic sum rate versus $\rho$ for $L=K=8$.
  • ...and 1 more figures

Theorems & Definitions (5)

  • Remark 1
  • Lemma 1
  • Corollary 1
  • Lemma 2
  • Corollary 2