平坦同态下模的内射维数

Ａｆ→Ｂ,ｆ是平坦同态,Ｍ是Ａ－模,本文给出了ｉｄＡＭ与ｉｄＢ（ＭＡＢ）的不等式关系。     

Adaptive subspace detection based on two-step dimension reduction in the underwater waveguide

In the underwater waveguide, the conventional adaptive subspace detector (ASD), derived by using the generalized likelihood ratio test (GLRT) theory, suffers from a significant degradation in detection per-formance when the samplings of training data are deficient. This paper proposes a dimension-reduced approach to alleviate this problem. The dimension reduction includes two steps: firstly, the full array is divided into several subarrays; secondly, the test data and the training data at each subarray are transformed into the modal domain from the hydrophone domain. Then the modal-domain test data and training data at each subarray are processed to formulate the subarray statistic by using the GLRT theory. The final test statistic of the dimension-reduced ASD (DR-ASD) is obtained by summing all the subarray statistics. After the dimension reduction, the unknown parameters can be estimated more accurately so the DR-ASD achieves a better detection performance than the ASD. In order to achieve the optimal detection performance, the processing gain of the DR-ASD is deduced to choose a proper number of subarrays. Simulation experiments verify the improved detection performance of the DR-ASD compared with the ASD.     

卫星导航弱信号的变维卡尔曼滤波跟踪算法

复杂环境下的多普勒频移变化及信号功率衰减均会造成载波跟踪偏差较大甚至失锁,针对标准卡尔曼滤波算法跟踪机动目标时不能同时满足高动态及高灵敏度要求的问题,提出一种基于变维卡尔曼滤波的载波跟踪算法。引入机动和非机动两种载波跟踪模型,通过机动检测因子监视载波动态变化,实时高效地切换载波跟踪模型,从而实现对载波机动和非机动状态的自适应跟踪,抑制机动改变引起的较大误差突跳。理论分析和仿真结果表明,该算法在低至30d BHz弱信号环境下,相比基于标准卡尔曼滤波的跟踪算法,其在目标动态突变时相位跟踪误差减小约37.5%,频率跟踪误差减小约77%。