本文为美国加州理工学院（作者：Mark Robert Bell）的博士论文，共304页。

本文探讨了信息论在雷达分析与设计中的应用，重点介绍了雷达波形的信息论设计。首先，简要回顾了信息论，然后分析了互信息在雷达性能测量中的适用性。介绍了雷达目标通道的概念。针对多个雷达目标通道，提出并解决了雷达/信息理论问题，深入研究了如何设计雷达波形，使目标与接收到的雷达信号之间的互信息最大化。

为了获得适用于实际波形设计问题的模型，对雷达散射模型进行了研究。引入目标脉冲响应作为表征雷达目标空间距离分布的一种方法。利用目标冲激响应对雷达中的匹配滤波器进行了新的推广，将发射波形/接收滤波器对与已知冲激响应的目标进行匹配，在发射能量和波形持续时间的约束下，在接收端提供最大信噪比。接下来，针对具有有限能量随机过程的脉冲响应的目标，提出并解决了目标与接收雷达波形之间互信息最大化的雷达波形设计问题。比较了用于最佳探测和获取目标最大信息的波形特征。最后，分析了雷达图像的信息含量。结果表明，通过信息论的观点可以提高实际雷达系统的性能。

This thesis examines the use of information theory in the analysis and design of radar, with a particular emphasis on the information-theoretic design of radar waveforms. First, a brief review of information theory is presented and then the applicability of mutual information to the measurement of radar performance is examined. The idea of the radar target channel is introduced. The Radar /Information Theory Problem is formulated and solved for a number of radar target channels, providing insight into the problem of designing radar waveforms that maximize the mutual information between the target and the received radar signal. Radarscattering models are examined in order to obtain usable models for practical waveform design problems. The target impulse response is introduced as a method of characterizing the spatial range distribution of radar targets. The target impulse response is used to formulate a new generalization of the matched filter in radar that matches a transmitted-waveform/receiver-filter pair to a target of known impulse response, providing the maximum signal-to-noise ratio at the receiver under a constraint on transmitted energy and the time duration of the waveform. Next, the problem is formulated and solved of designing radar waveforms that maximize the mutual information between the target and the received radar waveform for a target characterized by an impulse response that is a finite-energy random process. The characteristics of waveforms for optimum detection and for obtaining maximum information about a target are compared. Finally, the information content of radar images is examined. It is concluded that the information-theoretic viewpoint can improve the performance of practical radar systems.

1.       引言

2. 基于信息理论的雷达分析

3. 雷达/信息理论问题

4. 雷达散射模型

5. 将雷达波形/接收器-滤波器对与已知脉冲响应的目标匹配

6. 信息论与雷达波形设计

7. 雷达图像中的信息量

8. 总结与结论

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