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An Anti-Interference AFDM System: Interference Impacts Analyses and Parameter Optimization

Peng Yuan, Zulin Wang, Tao Luo, Yuanhan Ni

TL;DR

The paper tackles reliability and resource efficiency in high-mobility communications under adversarial interference by developing an anti-interference AFDM framework. It derives closed-form DAFT-domain interference expressions using the stationary phase principle and AFT convolution, establishes a throughput–oriented design methodology that jointly leverages spread-spectrum and ECC, and introduces a linear-complexity correlation-based DAFT-domain detector that achieves full diversity. The proposed approach yields analytical insight into interference behavior, optimizes spreading length to maximize packet throughput, and demonstrates superior throughput and BER performance under various interference scenarios compared with AFDM, OTFS, and OFDM. These contributions enable robust, low-complexity AFDM deployments in challenging doubly selective channels with malicious adversaries.

Abstract

This paper proposes an anti-interference affine frequency division multiplexing (AFDM) system to ensure reliability and resource efficiency under malicious high-power interference originating from adversarial devices in high-mobility scenarios. Closed-form expressions of interferences in the discrete affine Fourier transform (DAFT) domain are derived by utilizing the stationary phase principle and the Affine Fourier transform convolution theorem, which indicates that interference impacts can be classified into stationary and non-stationary categories. On this basis, we reveal the analytical relationship between packet throughput and the paramerters of spread spectrum and error correction coding in our proposed anti-interference system, which enables the design of a parameter optimization algorithm that maximizes packet throughput. For reception, by jointly utilizing the autocorrelation function of spreading sequence and the cyclic-shift property of AFDM input-output relation, we design a linear-complexity correlation-based DAFT domain detector (CDD) capable of achieving full diversity gain, which performs correlation-based equalization to avoid matrix inversion. Numerical results validate the accuracy of the derived closed-form expressions and verify that the proposed anti-interference AFDM system could achieve high packet throughput under interference in high-mobility scenarios.

An Anti-Interference AFDM System: Interference Impacts Analyses and Parameter Optimization

TL;DR

The paper tackles reliability and resource efficiency in high-mobility communications under adversarial interference by developing an anti-interference AFDM framework. It derives closed-form DAFT-domain interference expressions using the stationary phase principle and AFT convolution, establishes a throughput–oriented design methodology that jointly leverages spread-spectrum and ECC, and introduces a linear-complexity correlation-based DAFT-domain detector that achieves full diversity. The proposed approach yields analytical insight into interference behavior, optimizes spreading length to maximize packet throughput, and demonstrates superior throughput and BER performance under various interference scenarios compared with AFDM, OTFS, and OFDM. These contributions enable robust, low-complexity AFDM deployments in challenging doubly selective channels with malicious adversaries.

Abstract

This paper proposes an anti-interference affine frequency division multiplexing (AFDM) system to ensure reliability and resource efficiency under malicious high-power interference originating from adversarial devices in high-mobility scenarios. Closed-form expressions of interferences in the discrete affine Fourier transform (DAFT) domain are derived by utilizing the stationary phase principle and the Affine Fourier transform convolution theorem, which indicates that interference impacts can be classified into stationary and non-stationary categories. On this basis, we reveal the analytical relationship between packet throughput and the paramerters of spread spectrum and error correction coding in our proposed anti-interference system, which enables the design of a parameter optimization algorithm that maximizes packet throughput. For reception, by jointly utilizing the autocorrelation function of spreading sequence and the cyclic-shift property of AFDM input-output relation, we design a linear-complexity correlation-based DAFT domain detector (CDD) capable of achieving full diversity gain, which performs correlation-based equalization to avoid matrix inversion. Numerical results validate the accuracy of the derived closed-form expressions and verify that the proposed anti-interference AFDM system could achieve high packet throughput under interference in high-mobility scenarios.

Paper Structure

This paper contains 27 sections, 7 theorems, 98 equations, 12 figures, 3 tables, 1 algorithm.

Key Result

Lemma 1

Let $I\left( \lambda \right) = \int_{ - \infty }^\infty {{f\left( x \right){e^{ - j\lambda x}}{e^{j\phi \left( x \right)}}}dx}$, where $f\left(x\right)$ is slowly varying compared to the rapid oscillations of the exponential term ${e^{j\phi \left( {x} \right)}}$. The dominant contributions to $I\le where ${x_k}$ is stationary point which satisfies ${\phi ^{'}}\left( {{x_k}} \right)=0$, ${\phi ^{'

Figures (12)

  • Figure 1: AFDM block diagram.
  • Figure 2: Time-frequency representation of AFDM subcarriers and singe-tone interference.
  • Figure 3: Time-frequency representation of AFDM subcarriers and multiple-tone interference.
  • Figure 4: Time-frequency representation of AFDM subcarriers and sweeping interference with frequency modulation slope differing from that of AFDM subcarrier.
  • Figure 5: Time-frequency representation of AFDM subcarriers and sweeping interference with frequency modulation slope matching that of AFDM subcarrier.
  • ...and 7 more figures

Theorems & Definitions (11)

  • Lemma 1
  • Proposition 1
  • proof
  • Proposition 2
  • proof
  • Proposition 3
  • Proposition 4
  • proof
  • Proposition 5
  • proof
  • ...and 1 more