This paper presents a new joint radar and communication technique based on the classical stepped frequency radar waveform. The randomization in the waveform, which is achieved by using permutations of the sequence of frequency tones, is utilized for data transmission. A new signaling scheme is proposed in which the mapping between incoming data and waveforms is performed based on an efficient combinatorial transform called the Lehmer code. Considering the optimum maximum likelihood (ML) detection, the union bound and the nearest neighbour approximation on the communication block error probability is derived for communication in an additive white Gaussian noise (AWGN) channel. The results are further extended to incorporate the Rician fading channel model, of which the Rayleigh fading channel model is presented as a special case. Furthermore, an efficient communication receiver implementation is discussed based on the Hungarian algorithm which achieves optimum performance with much less operational complexity when compared to an exhaustive search. From the radar perspective, two key analytical tools, namely, the ambiguity function (AF) and the Fisher information matrix are derived. Furthermore, accurate approximations to the Cramer-Rao lower bounds (CRLBs) on the delay and Doppler estimation errors are derived based on which the range and velocity estimation accuracy of the waveform is analysed. Numerical examples are used to highlight the accuracy of the analysis and to illustrate the performance of the proposed waveform.
翻译:本文介绍了一种基于古典梯度雷达波形的新型联合雷达和通信技术。波形的随机化(通过调换频率音调序列而实现的波形随机化)用于数据传输。提出了一个新的信号方案,根据高效的组合式变换(称为Lehmer代码),对接收的数据和波形进行绘图。考虑到最佳最大可能性(ML)检测,在通信区块错误误差概率方面,在添加式白高斯噪音(AWGN)频道中得出联盟约束和近邻近距离近距离近距离近距离近距离近距离差概率。结果进一步扩展,以纳入Rician 淡化频道模型,Rayleigh 淡化频道模型被作为特例介绍。此外,根据匈牙利算法对接收器进行高效的接收器实施,该算法取得最佳性能,而与详尽搜索相比,操作复杂性要低得多。从雷达角度出发,两个关键分析工具,即模糊功能(AF)和渔业信息矩阵。此外,对Cramer-Rao较低界限(CRLBs)的淡通道模式模型模型将加以推广。根据延迟分析,对延迟和Doprillslorslor 的精确度分析,根据延迟测测测测测算得出了Now的频率到NUldrodrodrodrodrodrodrodrodrodrodal 的测为用于测测测度,以测度测度测度测到N。