A Gaussian Sum Filter for Pulsar Navigation: Processing Single Photon Arrival Time Measurements

被引：1

作者：

Chen, Po-Ting ^{[1
]}

Bayard, David S. S. ^{[1
]}

Sharrow, Robert F. F. ^{[1
]}

Majid, Walid A. A. ^{[1
]}

Dunst, Benjamin A. A. ^{[2
]}

Speyer, Jason L. L. ^{[2
]}

机构：

[1] CALTECH, Jet Prop Lab, Pasadena, CA 91109 USA

[2] Univ Calif Los Angeles, Dept Mech & Aerosp Engn, Los Angeles, CA 90095 USA

来源：

IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY | 2023年 / 31卷 / 06期

基金：

美国国家航空航天局;

关键词：

Photonics; Extraterrestrial measurements; Space vehicles; Optical filters; Signal to noise ratio; Filtering algorithms; Time measurement; Gaussian sum filter; integer ambiguity resolution; nonhomogeneous Poisson process; pulsar navigation; pulse delay estimation; PHASE ESTIMATION METHOD; RAY; SIGNALS;

D O I：

10.1109/TCST.2023.3265606

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Pulsars are natural space navigation beacons. They provide navigation and timing information from multiple directions at all times. Pulsar navigation has been demonstrated using data collected from large X-ray telescopes. However, in order to make this technique practical for all spacecraft, the X-ray photon receiver has to be miniaturized. As a result, the estimation algorithm has to overcome the challenges associated with low signal-to-noise ratio measurements and a position uncertainty greater than the pulsar wavelength. In this article, we utilize Bayesian filtering to address these two challenges. The proposed filter relies on a Gaussian sum/mixture representation of the likelihood function to sequentially process each photon time-of-arrival measurement. A reduction algorithm based on the pulsar signal periodicity and the symmetric Kullback-Leibler divergence acts to simplify and approximate the Gaussian sum posterior probability density function after each photon update. This filter is demonstrated on several representative examples and performance is evaluated using Monte Carlo simulation.

引用

页码：2499 / 2514

页数：16