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Intelligent Reflecting Surface Aided Target Localization With Unknown Transceiver-IRS Channel State Information

Taotao Ji, Meng Hua, Xuanhong Yan, Chunguo Li, Yongming Huang, Luxi Yang

TL;DR

The paper tackles IRS-aided target localization when the BS-IRS CSI is unknown, introducing a two-stage framework that first estimates the BS-IRS channel in full-duplex-like fashion and then localizes the target via Bayesian multiple-hypotheses testing. A coordinate-descent-based algorithm recovers a partial ${\bf G}$ with sign ambiguity, which is resolved within the localization loop by updating hypothesis probabilities and refining the channel estimate. To boost localization accuracy, the authors formulate a joint transmit waveform and IRS phase-shift optimization that maximizes the weighted distance between hypotheses, solving a quartic, non-convex problem via a penalty-based, double-layer BCD approach. Numerical results validate the effectiveness of the two-stage scheme, show convergence in channel estimation, and demonstrate substantial gains from optimizing both the BS waveform and IRS phases over baseline schemes. The framework also enables complete CSI recovery as a byproduct of the localization process and highlights the practical impact of IRS-enabled sensing in NLoS scenarios.

Abstract

Integrating wireless sensing capabilities into base stations (BSs) has become a widespread trend in the future beyond fifth-generation (B5G)/sixth-generation (6G) wireless networks. In this paper, we investigate intelligent reflecting surface (IRS) enabled wireless localization, in which an IRS is deployed to assist a BS in locating a target in its non-line-of-sight (NLoS) region. In particular, we consider the case where the BS-IRS channel state information (CSI) is unknown. Specifically, we first propose a separate BS-IRS channel estimation scheme in which the BS operates in full-duplex mode (FDM), i.e., a portion of the BS antennas send downlink pilot signals to the IRS, while the remaining BS antennas receive the uplink pilot signals reflected by the IRS. However, we can only obtain an incomplete BS-IRS channel matrix based on our developed iterative coordinate descent-based channel estimation algorithm due to the "sign ambiguity issue". Then, we employ the multiple hypotheses testing framework to perform target localization based on the incomplete estimated channel, in which the probability of each hypothesis is updated using Bayesian inference at each cycle. Moreover, we formulate a joint BS transmit waveform and IRS phase shifts optimization problem to improve the target localization performance by maximizing the weighted sum distance between each two hypotheses. However, the objective function is essentially a quartic function of the IRS phase shift vector, thus motivating us to resort to the penalty-based method to tackle this challenge. Simulation results validate the effectiveness of our proposed target localization scheme and show that the scheme's performance can be further improved by finely designing the BS transmit waveform and IRS phase shifts intending to maximize the weighted sum distance between different hypotheses.

Intelligent Reflecting Surface Aided Target Localization With Unknown Transceiver-IRS Channel State Information

TL;DR

The paper tackles IRS-aided target localization when the BS-IRS CSI is unknown, introducing a two-stage framework that first estimates the BS-IRS channel in full-duplex-like fashion and then localizes the target via Bayesian multiple-hypotheses testing. A coordinate-descent-based algorithm recovers a partial with sign ambiguity, which is resolved within the localization loop by updating hypothesis probabilities and refining the channel estimate. To boost localization accuracy, the authors formulate a joint transmit waveform and IRS phase-shift optimization that maximizes the weighted distance between hypotheses, solving a quartic, non-convex problem via a penalty-based, double-layer BCD approach. Numerical results validate the effectiveness of the two-stage scheme, show convergence in channel estimation, and demonstrate substantial gains from optimizing both the BS waveform and IRS phases over baseline schemes. The framework also enables complete CSI recovery as a byproduct of the localization process and highlights the practical impact of IRS-enabled sensing in NLoS scenarios.

Abstract

Integrating wireless sensing capabilities into base stations (BSs) has become a widespread trend in the future beyond fifth-generation (B5G)/sixth-generation (6G) wireless networks. In this paper, we investigate intelligent reflecting surface (IRS) enabled wireless localization, in which an IRS is deployed to assist a BS in locating a target in its non-line-of-sight (NLoS) region. In particular, we consider the case where the BS-IRS channel state information (CSI) is unknown. Specifically, we first propose a separate BS-IRS channel estimation scheme in which the BS operates in full-duplex mode (FDM), i.e., a portion of the BS antennas send downlink pilot signals to the IRS, while the remaining BS antennas receive the uplink pilot signals reflected by the IRS. However, we can only obtain an incomplete BS-IRS channel matrix based on our developed iterative coordinate descent-based channel estimation algorithm due to the "sign ambiguity issue". Then, we employ the multiple hypotheses testing framework to perform target localization based on the incomplete estimated channel, in which the probability of each hypothesis is updated using Bayesian inference at each cycle. Moreover, we formulate a joint BS transmit waveform and IRS phase shifts optimization problem to improve the target localization performance by maximizing the weighted sum distance between each two hypotheses. However, the objective function is essentially a quartic function of the IRS phase shift vector, thus motivating us to resort to the penalty-based method to tackle this challenge. Simulation results validate the effectiveness of our proposed target localization scheme and show that the scheme's performance can be further improved by finely designing the BS transmit waveform and IRS phase shifts intending to maximize the weighted sum distance between different hypotheses.
Paper Structure (24 sections, 5 theorems, 76 equations, 11 figures)

This paper contains 24 sections, 5 theorems, 76 equations, 11 figures.

Key Result

Proposition 1

When there is no prior knowledge of the estimated channel ${\bf{G}}$, the efficiency of channel estimation is highest when the number of transmit antennas is set to 1.

Figures (11)

  • Figure 1: An IRS-aided target localization system, where the target is in the NLoS region of the BS.
  • Figure 2: Proposed target localization protocol.
  • Figure 3: Separate BS-IRS channel estimation, where the BS operates in FDM.
  • Figure 4: Flow chart of the proposed overall target localization procedure.
  • Figure 5: Simulation setup.
  • ...and 6 more figures

Theorems & Definitions (5)

  • Proposition 1
  • Proposition 2
  • Proposition 3
  • Proposition 4
  • Proposition 5