基于集中式MIMO雷达的功率带宽联合分配算法

针对集中式多输入多输出雷达对多目标进行跟踪的问题,提出一种基于后验克拉美罗下界的功率和带宽联合分配方法。该方法首先对各目标位置误差的后验克拉美罗下界进行预测,将克拉美罗下界构建为代价函数建立优化模型,从而将资源分配问题转化为求解非凸优化问题；而后运用凸松弛技术和循环最小化算法对该非凸优化问题进行求解；最后通过仿真验证所提算法的有效性。结果表明,与另外3种分配算法相比,所提算法在多种场景下均能有效提高目标跟踪精度。     

基于集中式MIMO雷达的多目标跟踪功率分配优化算法

针对集中式MIMO雷达对多个运动目标进行跟踪的问题,提出一种基于后验克拉美罗下界的功率分配方法。首先给出了多个运动目标定位误差的后验克拉美罗下界,并将其作为代价函数进行优化,从而将雷达功率分配转化为求解凸优化问题;然后,运用SDP算法对该凸优化问题进行处理,将其转化为SDP问题并求解,从而实现对雷达功率的优化分配;最后,通过仿真验证了算法的有效性。结果表明,与功率平均分配和一种基于最大信噪比的贪婪算法相比,该功率优化分配方法能明显提高目标跟踪精度。     

Posterior Cramer-Rao lower bounds for bearing-only tracking

In the state estimation of passive tracking systems, the traditional approximate expression for the Cramero-Rao lower bound （CRLB） does not take two factors into consideration, that is, measurement origin uncertainty aad state noise. Such treatment is only valid in ideal situation but it is not feasible in actual situation. In this article, considering the two factors, the posterior Cramer-Rao lower bound （PCRLB） recursion expression for the error of bearing-only tracking is derived. Then, further analysis is carried out on the PCRLB. According to the final result, there are four main parameters that play a role in the performance of the PCRLB, that is, measurement noise, detection probability, state noise and clutter density, amongst which the first two have greater impact on the performance of the PCRLB than the others.