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Waveform Design for ISAC System: A Consensus ADMM Approach

Ngoc-Son Duong, Huyen-Trang Ta, Quang-Tang Ngo, Thi-Hue Duong, Van-Lap Nguyen, Cong-Minh Nguyen, Minh-Tran Nguyen, Thai-Mai Dinh

TL;DR

An efficient algorithm is introduced that use consensus alternating direction method of multipliers (ADMM) framework to alternately update the transmit waveform and radar filter and achieves better trade-offs between communication sum rate and sensing's SINR compared to existing benchmark schemes.

Abstract

We study joint transmit-waveform and receive-filter design for a multi-user downlink integrated sensing and communication (ISAC) system under practical constant-modulus and similarity constraints. We cast the design as a unified multi-objective program that balances communication sum rate and sensing signal-to-interference-plus-noise ratio (SINR). To address this, we introduce an efficient algorithm that use consensus alternating direction method of multipliers (ADMM) framework to alternately update the transmit waveform and radar filter. The proposed method effectively handles the non-convex fractional sensing's SINR formulation and ensures fast convergence. Simulation results demonstrate that the proposed approach achieves better trade-offs between communication sum rate and sensing's SINR compared to existing benchmark schemes.

Waveform Design for ISAC System: A Consensus ADMM Approach

TL;DR

An efficient algorithm is introduced that use consensus alternating direction method of multipliers (ADMM) framework to alternately update the transmit waveform and radar filter and achieves better trade-offs between communication sum rate and sensing's SINR compared to existing benchmark schemes.

Abstract

We study joint transmit-waveform and receive-filter design for a multi-user downlink integrated sensing and communication (ISAC) system under practical constant-modulus and similarity constraints. We cast the design as a unified multi-objective program that balances communication sum rate and sensing signal-to-interference-plus-noise ratio (SINR). To address this, we introduce an efficient algorithm that use consensus alternating direction method of multipliers (ADMM) framework to alternately update the transmit waveform and radar filter. The proposed method effectively handles the non-convex fractional sensing's SINR formulation and ensures fast convergence. Simulation results demonstrate that the proposed approach achieves better trade-offs between communication sum rate and sensing's SINR compared to existing benchmark schemes.
Paper Structure (20 sections, 34 equations, 5 figures, 1 algorithm)

This paper contains 20 sections, 34 equations, 5 figures, 1 algorithm.

Table of Contents

  1. Introduction
  2. System model
  3. Communication model
  4. Radar model
  5. Problem Formulation and Proposed Method
  6. Problem Formulation
  7. Proposed method
  8. Optimize $\mathbf{w}$ when knowing $\mathbf{x}$
  9. Optimize $\mathbf{x}$ when knowing $\mathbf{w}$
  10. Solution for \ref{['xc']}
  11. Solution for \ref{['xs']}
  12. Solution for \ref{['xb']}
  13. Solution for \ref{['globe_update']}
  14. Simulation Results and Discussion
  15. Simulation Setup
  16. ...and 5 more sections

Figures (5)

  • Figure 1: The ISAC system model with operation flow-chart.
  • Figure 2: Sum-rate comparison for different approaches at $\rho = 0.2, \lambda = 1$.
  • Figure 3: Beampatterns obtained by different approaches.
  • Figure 4: Sensing's SINR (dB) at $\rho = 0.2, \lambda = 1$.
  • Figure 5: Sensing SINR and achievable sum-rate versus the trade-off factor $\rho \; (\lambda = 1)$. (a) Sensing SINR (dB). (b) Achievable sum-rate (bps/Hz).