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Splitting Receiver with Multiple Antennas

Yanyan Wang, Wanchun Liu, Xiangyun Zhou

TL;DR

This paper derives a closed-form approximation of the achievable mutual information (MI) in terms of the key receiver design parameters, including the power splitting ratio at each antenna and the signal combining coefficients from all the ED and CD branches, and demonstrates the MI performance improvement of the proposed receiver over conventional non-splitting receivers.

Abstract

Recently proposed splitting receivers, utilizing both coherently and non-coherently processed signals for detection, have demonstrated remarkable performance gain compared to conventional receivers in the single-antenna scenario. In this paper, we propose a multi-antenna splitting receiver, where the received signal at each antenna is split into an envelope detection (ED) branch and a coherent detection (CD) branch, and the processed signals from both branches of all antennas are then jointly utilized for recovering the transmitted information. We derive a closed-form approximation of the achievable mutual information (MI) in terms of the key receiver design parameters, including the power splitting ratio at each antenna and the signal combining coefficients from all the ED and CD branches. We further optimize these receiver design parameters and demonstrate important design insights for the proposed multi-antenna ED-CD splitting receiver: 1) the optimal splitting ratio is identical at each antenna, and 2) the optimal combining coefficients for the ED and CD branches are the same, and each coefficient is proportional to the corresponding antenna's channel power gain. Our numerical results also demonstrate the MI performance improvement of the proposed receiver over conventional non-splitting receivers.

Splitting Receiver with Multiple Antennas

TL;DR

This paper derives a closed-form approximation of the achievable mutual information (MI) in terms of the key receiver design parameters, including the power splitting ratio at each antenna and the signal combining coefficients from all the ED and CD branches, and demonstrates the MI performance improvement of the proposed receiver over conventional non-splitting receivers.

Abstract

Recently proposed splitting receivers, utilizing both coherently and non-coherently processed signals for detection, have demonstrated remarkable performance gain compared to conventional receivers in the single-antenna scenario. In this paper, we propose a multi-antenna splitting receiver, where the received signal at each antenna is split into an envelope detection (ED) branch and a coherent detection (CD) branch, and the processed signals from both branches of all antennas are then jointly utilized for recovering the transmitted information. We derive a closed-form approximation of the achievable mutual information (MI) in terms of the key receiver design parameters, including the power splitting ratio at each antenna and the signal combining coefficients from all the ED and CD branches. We further optimize these receiver design parameters and demonstrate important design insights for the proposed multi-antenna ED-CD splitting receiver: 1) the optimal splitting ratio is identical at each antenna, and 2) the optimal combining coefficients for the ED and CD branches are the same, and each coefficient is proportional to the corresponding antenna's channel power gain. Our numerical results also demonstrate the MI performance improvement of the proposed receiver over conventional non-splitting receivers.
Paper Structure (9 sections, 5 theorems, 71 equations, 6 figures)

This paper contains 9 sections, 5 theorems, 71 equations, 6 figures.

Table of Contents

  1. Introduction
  2. Receiver Model
  3. Mutual Information Analysis
  4. Joint Optimal Design of Splitting Ratios and Combining Coefficients
  5. Mutual Information Performance Gain
  6. Numerical Results
  7. Conclusions
  8. Proof of Proposition 1
  9. Proof of Proposition \ref{['proposition:prop4']}

Key Result

Proposition 1

In the high SNR regime, the achievable MI of the multi-antenna ED-CD splitting receiver with the power splitting ratios $[\rho_1, \rho_2,\cdots,\rho_K] \in [0,1]^K\backslash \{\mathbf{0},\mathbf{1}\}$, and the combining coefficients $[\alpha_1,\alpha_2,\cdots,\alpha_K]$ and $[\beta_1,\beta_2,\cdots, where $A\triangleq \gamma \sum_{k=1}^{K} \beta_k$, $B_k\triangleq\frac{\alpha_k}{A'\sqrt{P}|\tilde{

Figures (6)

  • Figure 1: $K$-antenna ED-CD splitting receiver architecture.
  • Figure 2: MI versus the power splitting ratio $\rho$, $\alpha_1=\alpha_2=\beta_1=\beta_2=0.50$ and $|\tilde{h}_1|=|\tilde{h}_2|=1$.
  • Figure 3: MI versus the power splitting ratio with two antennas, $P=1000$, $|\tilde{h}_1|=1,|\tilde{h}_2|=3$, $\alpha_1=\beta_1=0.1, \alpha_2=\beta_2=0.9$.
  • Figure 4: MI versus the power splitting ratio with two antennas, $P=100$.
  • Figure 5: MIs of the ED-CD splitting receiver and the CD receiver versus the number of antennas $K$, $|\tilde{h}_k|=1$ for all $k$.
  • ...and 1 more figures

Theorems & Definitions (8)

  • Proposition 1
  • Proposition 2
  • Remark 1
  • Remark 2
  • Corollary 1
  • Corollary 2
  • Corollary 3
  • Remark 3