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Outage Probability Analysis for OTFS in Lossy Communications

Xin Zhang, Wensheng Lin, Lixin Li, Fucheng Yang, Zhu Han, Tad Matsumoto

TL;DR

A lower bound of the outage probability of orthogonal time frequency space (OTFS) modulation can be calculated given the distortion requirement and number of the resolvable paths, and a performance limit under the optimal condition as a reference is obtained.

Abstract

This paper analyzes the outage probability of orthogonal time frequency space (OTFS) modulation under a lossy communication scenario. First of all, we introduce the channel model and the vector form representation of OTFS this paper uses. Then, we derive an exact expression of the OTFS outage probability in lossy communication scenarios, using Shannon's lossy source-channel separation theorem. Because the channel is time-varying, calculating the exact outage probability is computationally expensive. Therefore, this paper aims to derive a lower bound of the outage probability, which can relatively easily be calculated. Thus, given the distortion requirement and number of the resolvable paths, we can obtain a performance limit under the optimal condition as a reference. Finally, the experimental results of outage probability are obtained by Monte-Carlo method, and compared with the theoretical results calculated by the closed-from expression of the lower bound.

Outage Probability Analysis for OTFS in Lossy Communications

TL;DR

A lower bound of the outage probability of orthogonal time frequency space (OTFS) modulation can be calculated given the distortion requirement and number of the resolvable paths, and a performance limit under the optimal condition as a reference is obtained.

Abstract

This paper analyzes the outage probability of orthogonal time frequency space (OTFS) modulation under a lossy communication scenario. First of all, we introduce the channel model and the vector form representation of OTFS this paper uses. Then, we derive an exact expression of the OTFS outage probability in lossy communication scenarios, using Shannon's lossy source-channel separation theorem. Because the channel is time-varying, calculating the exact outage probability is computationally expensive. Therefore, this paper aims to derive a lower bound of the outage probability, which can relatively easily be calculated. Thus, given the distortion requirement and number of the resolvable paths, we can obtain a performance limit under the optimal condition as a reference. Finally, the experimental results of outage probability are obtained by Monte-Carlo method, and compared with the theoretical results calculated by the closed-from expression of the lower bound.
Paper Structure (11 sections, 29 equations, 4 figures)

This paper contains 11 sections, 29 equations, 4 figures.

Table of Contents

  1. Introduction
  2. System Model
  3. Channel Model
  4. Vector Form Representation of OTFS
  5. Outage Performance Analysis
  6. Rate-Distortion Analysis
  7. Lower Bound Derivation
  8. Performance Evaluation
  9. Conclusion
  10. Proof of Proposition 1
  11. Proof of Proposition 2

Figures (4)

  • Figure 1: Equivalent system model of lossy transmissions with OTFS based on lossy source-channel separation theorem.
  • Figure 2: The outage probability with $M=N=16$, $P=5$.
  • Figure 3: The outage probability with $M=N=32$, $P=5$.
  • Figure 4: The outage probability of in lossy communications with different numbers of paths and frame lengths, where the distortion $D=0.05$.