Compressive detection of multiple targets in passive bistatic radar. Issue 3 (2nd December 2022)

• Record Type: Journal Article
• Authors: Ma, Junhu; Rui, Xi
• Is Part Of: IET radar, sonar & navigation. Volume 17:Issue 3(2023)
• Page Start: 537
• Page End: 544
• Publication Date: 2022-12-02
• Subjects: compressive detection -- measurement matrix design -- order statistic -- orthogonal matching pursuit -- passive bistatic radar; Signal processing -- Periodicals; Radar -- Periodicals; Sonar -- Periodicals; Electronics in navigation -- Periodicals; Navigation -- Periodicals; 621.3848
• DOI: 10.1049/rsn2.12358
• Languages: English
• ISSNs: 1751-8784

Abstract

Abstract: The problem of compressive detection of multiple targets in a passive bistatic radar system consisting of one illuminator of opportunity and one receiver is considered. Specifically, a measurement matrix is designed to remove the direct‐path and multi‐path interference and obtain the compressive observations simultaneously. Considering that the degree of sparsity, that is, the number of targets, is unknown, an orthogonal matching pursuit (OMP)‐based detector, referred to as the ‖r k ‖ ∞ ‐based OMP detector, is proposed by analysing the distribution characteristics of the infinite norm of the residual. It is shown that the test statistic of the proposed detector leads to an order statistic, and then a closed‐form expression of probability of false alarm and detection of the proposed detector is provided. Finally, numerical simulations are conducted to verify the theoretical analysis and illustrate the performance of the proposed detector relative to several benchmark detectors. Abstract : This study considers the problem of compressive detection of multiple targets with the direct‐path and multi‐path interference in a passive bistatic radar system. The contributions are summarised in the following aspects. (1) Based on the nature of interference, a measurement matrix is designed to remove the interference and obtain the compressive observations simultaneously. (2) An orthogonal matching pursuit (OMP)‐based detector, referred to as the ‖ r k ‖ ∞ $\Vert {r}_{k}{\Vert }_{\infty }$ ‐based OMP detector, is proposed by analysing the distribution characteristics of the infinite norm of the residual, and a closed‐form expression of the probability of false alarm and detection of the proposed detector is provided. (3) The simulation results demonstrate that for multi‐target detection, the proposed detector outperforms several benchmark detectors in low to moderate signal‐to‐noise ratio regions.