基于小波变换与压缩感知的脉冲星TOA估计

脉冲星导航是一种新型的自主式导航。为提高其精度与实时性,提出一种小波变换与压缩感知结合的脉冲星到达时间(Time of Arrival,TOA)估计的方法。该方法对标准脉冲轮廓使用小波变换构造多级冗余字典,通过信号恢复算法估计出实际脉冲星的TOA。该方法的算法复杂度低于传统的TOA估计方法,并且随着脉冲星信号周期内bin数量的增加,算法的实时性越好。该方法改变了传统的先去噪再估计TOA的思路,其可以嵌入到信号去噪的过程中,还可以和小波去噪的阈值处理并行计算。仿真结果显示文中方法耗时分别为两种传统TOA估计方法的0.87%和21.35%,并且随着数据时长的缩短,文中方法的TOA估计精度的相对优势越发明显。该方法不但可以提高TOA估计精度,而且降低了对数据时长的依赖。

Pulsar TOA estimation based on wavelet transform and compressed sensing

Pulsar navigation is a new type of autonomous navigation. In order to improve its accuracy and real-time, a method of pulsar time of arrival(TOA) estimation combining wavelet transform and compressed sensing was proposed. This method constructed a multi-level redundancy dictionary using wavelet transform for the standard algorithm complexity of this method was lower than the traditional TOA estimation method, and the real-time performance of the algorithm was better as the number of bins in the pulsar signal period increases. This method changed the traditional idea of first denoising and then estimating TOA, which can be embedded in the process of signal denoising, and can be calculated in parallel with the threshold processing of wavelet denoising. The simulation results show that the time consumption of this method is 0.87% and 21.35% of that of the two traditional TOA estimation methods, respectively. And with the shortening of the data duration, the relative advantage of the TOA estimation accuracy of this method is more obvious. This method can not only improve the accuracy of TOA estimation, but also reduce the dependence on the duration of data.