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Splitting Receiver with Joint Envelope and Coherent Detection

Yanyan Wang, Wanchun Liu, Xiangyun Zhou

TL;DR

High signal-to-noise ratio analysis on the proposed ED-CD splitting receiver is conducted and closed-form approximations of both the achievable mutual information and the optimal splitting ratio are obtained, demonstrating the usefulness of the obtained analytical results.

Abstract

This letter proposes a new splitting receiver design with joint envelope detection (ED) and coherent detection (CD). To characterize its fundamental performance limit, we conduct high signal-to-noise ratio (SNR) analysis on the proposed ED-CD splitting receiver and obtain closed-form approximations of both the achievable mutual information and the optimal splitting ratio (i.e., a key design parameter of the receiver). Our numerical results show that these high SNR approximations are accurate over a wide range of moderate SNR values, signifying the usefulness of the obtained analytical results. We also provide insights on the conditions at which the proposed splitting receiver has significant performance advantages over the traditional receivers.

Splitting Receiver with Joint Envelope and Coherent Detection

TL;DR

High signal-to-noise ratio analysis on the proposed ED-CD splitting receiver is conducted and closed-form approximations of both the achievable mutual information and the optimal splitting ratio are obtained, demonstrating the usefulness of the obtained analytical results.

Abstract

This letter proposes a new splitting receiver design with joint envelope detection (ED) and coherent detection (CD). To characterize its fundamental performance limit, we conduct high signal-to-noise ratio (SNR) analysis on the proposed ED-CD splitting receiver and obtain closed-form approximations of both the achievable mutual information and the optimal splitting ratio (i.e., a key design parameter of the receiver). Our numerical results show that these high SNR approximations are accurate over a wide range of moderate SNR values, signifying the usefulness of the obtained analytical results. We also provide insights on the conditions at which the proposed splitting receiver has significant performance advantages over the traditional receivers.
Paper Structure (6 sections, 2 theorems, 24 equations, 2 figures, 1 table)

This paper contains 6 sections, 2 theorems, 24 equations, 2 figures, 1 table.

Table of Contents

  1. Introduction
  2. The Proposed ED-CD Splitting receiver
  3. Mutual Information Performance Analysis
  4. Conclusions
  5. Proof of Proposition 1
  6. Proof of Proposition 2

Key Result

Proposition 1

In high SNR, the achievable mutual information of the splitting receiver with $\rho\in (0,1]$ can be approximated as Importantly, this approximation is asymptotically tight as $P$ approaches infinity. The optimal splitting ratio $\rho^*$ in the high SNR regime is where and $\Psi\!=\!\sigma_{\textrm{cov}}^4(\sigma_{\textrm{cov}}^2-2 \sigma_{\textrm{rec}}^2)(\sigma_{\textrm{A}}^2+\sigma_{\textrm{

Figures (2)

  • Figure 1: The proposed ED-CD splitting receiver.
  • Figure 2: Mutual information versus the power splitting ratio $\rho$.

Theorems & Definitions (3)

  • Proposition 1
  • Proposition 2
  • Remark 1