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On the Performance of Splitting Receiver with Joint Coherent and Non-Coherent Processing

Yanyan Wang, Wanchun Liu, Xiangyun Zhou, Guanghui Liu

TL;DR

A performance analysis on the achievable data rate under Gaussian signaling and a fundamentally different result on the performance gain of the splitting receiver over traditional receiver designs that use either coherent or non-coherent processing alone are obtained.

Abstract

In this paper, we revisit a recently proposed receiver design, named the splitting receiver, which jointly uses coherent and non-coherent processing for signal detection. By considering an improved signal model for the splitting receiver as compared to the original study in the literature, we conduct a performance analysis on the achievable data rate under Gaussian signaling and obtain a fundamentally different result on the performance gain of the splitting receiver over traditional receiver designs that use either coherent or non-coherent processing alone. Specifically, the original study ignored the antenna noise and concluded on a 50% gain in achievable data rate in the high signal-to-noise ratio (SNR) regime. In contrast, we include the antenna noise in the signal model and show that the splitting receiver improves the achievable data rate by a constant gap in the high SNR regime. This represents an important correction of the theoretical understanding on the performance of the splitting receiver. In addition, we examine the maximum-likelihood detection and derive a low-complexity detection rule for the splitting receiver for practical modulation schemes. Our numerical results give further insights into the conditions under which the splitting receiver achieves significant gains in terms of either achievable data rate or detection error probability.

On the Performance of Splitting Receiver with Joint Coherent and Non-Coherent Processing

TL;DR

A performance analysis on the achievable data rate under Gaussian signaling and a fundamentally different result on the performance gain of the splitting receiver over traditional receiver designs that use either coherent or non-coherent processing alone are obtained.

Abstract

In this paper, we revisit a recently proposed receiver design, named the splitting receiver, which jointly uses coherent and non-coherent processing for signal detection. By considering an improved signal model for the splitting receiver as compared to the original study in the literature, we conduct a performance analysis on the achievable data rate under Gaussian signaling and obtain a fundamentally different result on the performance gain of the splitting receiver over traditional receiver designs that use either coherent or non-coherent processing alone. Specifically, the original study ignored the antenna noise and concluded on a 50% gain in achievable data rate in the high signal-to-noise ratio (SNR) regime. In contrast, we include the antenna noise in the signal model and show that the splitting receiver improves the achievable data rate by a constant gap in the high SNR regime. This represents an important correction of the theoretical understanding on the performance of the splitting receiver. In addition, we examine the maximum-likelihood detection and derive a low-complexity detection rule for the splitting receiver for practical modulation schemes. Our numerical results give further insights into the conditions under which the splitting receiver achieves significant gains in terms of either achievable data rate or detection error probability.

Paper Structure

This paper contains 16 sections, 3 theorems, 62 equations, 4 figures, 1 table.

Table of Contents

  1. Introduction
  2. Background and Prior Work
  3. Motivation and Novel Contributions
  4. Paper Organization and Notation
  5. System Model
  6. Mutual Information Performance Analysis
  7. Mutual Information of the Splitting Receiver
  8. Mutual Information Performance Gain
  9. Signal Detection Rule and Performance
  10. Optimal Detection Rule
  11. Low-Complexity Detection Rule
  12. SER Performance
  13. Conclusions and Future Work
  14. Proof of Proposition 1
  15. Proof of Proposition 2
  16. ...and 1 more sections

Key Result

Proposition 1

The achievable mutual information of the splitting receiver with $\rho\in (0,1)$ can be approximated as where where $\operatorname{Ei}(x)$ is the exponential integral. Importantly, this approximation is asymptotically tight as $P\rightarrow\infty$. Proof: See Appendix A.

Figures (4)

  • Figure 1: The splitting receiver architecture with antenna noise and processing noises.
  • Figure 2: Mutual information versus the power splitting ratio $\rho$.
  • Figure 3: SER versus the power splitting ratio $\rho$ or the transmit power $P$ for 64-QAM.
  • Figure 4: Illustration of the PN coordinate system (two-dimensional illustration for simplicity).

Theorems & Definitions (10)

  • Proposition 1
  • Definition 1
  • Definition 2
  • Proposition 2
  • Remark 1
  • Remark 2
  • Remark 3
  • Proposition 3
  • Remark 4
  • Remark 5