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MIMO(multiple-input-multiple-output)雷达是近年来提出的一种新概念雷达,具有多正交发射波形、全方位覆盖等特点。本文利用Stein引理,将信息论中相对熵的概念引入雷达检测理论,并据此对MIMO雷达系统和相控阵雷达系统的检测性能进行了讨论和比较。在此基础上,研究了收发分置MIMO雷达发射和接收阵元数目优化配置的问题。研究表明,在相控阵体制下,当收发阵元总数一定时,检测性能在发射阵元数与接收阵元数相等时最好。而在MIMO体制下,低信噪比时发射阵元数目宜少;高信噪比时发射阵元数应与接收阵元数相等。这些结果对未来收发分置MIMO雷达的结构配置设计具有一定的指导意义。
MIMO (multiple-input-multiple-output) radar is a new concept of radar proposed in recent years, with multi-orthogonal transmission waveform, omni-directional coverage and so on. In this paper, Stein Lemma is used to introduce the concept of relative entropy in information theory to radar detection theory. Based on this, the detection performance of MIMO radar system and phased array radar system are discussed and compared. Based on this, the optimal allocation of the number of transmitting and receiving elements in the receiving and transmitting MIMO radars is studied. Research shows that under the phased array system, when the total number of transmitting and receiving elements is constant, the detection performance is best when the number of transmitting elements and the number of receiving elements are equal. In the MIMO system, the number of transmitting elements should be low when the signal-to-noise ratio is low, and the number of transmitting elements should be equal to the number of receiving elements at high signal-to-noise ratio. These results are of guiding significance to the structural design of future MIMO transceivers.