The Optimal Detector of Distributed MIMO Radar Under Swerling-Chi Scattering Models

• Published in: IEEE geoscience and remote sensing letters Vol. 17; no. 7; pp. 1129 - 1133
• Main Authors: Wang, Jianbo, Ye, Jianyu, Hua, Guang
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01-07-2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Electromagnetic scattering; Hypergeometric functions; Lambert <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">W function; MIMO radar; multiple-input multiple-output (MIMO) radar; optimal detector; Probability; Probability density functions; Probability theory; Radar; Radar detection; Radar signal processing; Scattering; Sensors; Swerling-chi scattering model; Transcendental functions; Waveforms
• ISSN: 1545-598X; 1558-0571
• DOI: 10.1109/LGRS.2019.2943185

In this letter, the optimal detector of distributed multiple-input multiple-output (MIMO) radar based on the Swerling-chi scattering model with 2k degrees of freedom is investigated. An optimal detector with a closed-form expression involving the confluent hypergeometric function is derived when the transmitting waveforms are orthogonal. When 2k=2 or 2k=4 , the derived expression will be reduced to the optimal detector of the Swerling I/II model or the Swerling III/IV model, respectively. When 2k is not an integer, the approximate expression of the optimal detector is proposed. Moreover, the probability density functions of the proposed approximate expressions under both null and alternative hypotheses are derived in the form of convolutions of transcendental functions.