Fast near-maximum likelihood phase estimation of X-ray pulsars

Rinauro, Stefano; Colonnese, Stefania; Scarano, Gaetano

doi:10.1016/j.sigpro.2012.07.002

Cited by 34 publications

(16 citation statements)

References 10 publications

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“…The first and second terms on the right-hand side of (14) are referred to as the Roemer delay. The third term is the Shapiro delay effect.…”

Section: X-ray Pulsar Navigation Measurementmentioning

confidence: 99%

“…The third term is the Shapiro delay effect. From (14), we can see that the value in the natural log term is unitless, as r and b have units of distance. As the Sun imposes the primary gravitational field within the solar system, the Shapiro delay effects caused by other planets are ignored.…”

Section: X-ray Pulsar Navigation Measurementmentioning

confidence: 99%

“…Therefore, this equation is valid for our X-ray pulsar navigation. Equation (14) can be also represented as:…”

Section: X-ray Pulsar Navigation Measurementmentioning

confidence: 99%

“…Many scholars have assumed that the frequency of pulsar signals is known [12][13][14] in the EF procedure. However, the Doppler effects due to the motion of the spacecraft result in the distortion of the integrated pulse profile and cannot be removed completely by the predicted velocity information with error.…”

Section: Introductionmentioning

confidence: 99%

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Novel algorithm for X-ray pulsar navigation against doppler effects

Liu

Fang

Kang

et al. 2015

IEEE Trans. Aerosp. Electron. Syst.

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In this paper, a new method for novel X-ray pulsar navigation is proposed to overcome the Doppler effects from the motion of a deep space explorer. An analysis was undertaken of the dynamic orbit Manuscript model of the interplanetary trajectory cruise phase. During a pulsar signal observation period, the deep space explorer can be considered to be at a constant acceleration motion. A Doppler compensation method is proposed based on this analysis. The method demonstrates great advantages in terms of low computational cost. However, there is an evident bias due to the Doppler compensation in the pulse time-of-arrival (TOA). Moreover, the pulse TOA bias and the velocity estimation error of the deep space explorer are correlated, resulting in a decline in Kalman filter performance. To deal with this problem, we constructed a TOA measurement bias model with respect to the state estimation error, and we developed an extended Kalman filter (EKF) with correlated measurement bias and state estimation error. Results from simulations suggest that the proposed navigation method is feasible, accurate, and effective. The proposed navigation method based on EKF with correlated measurement bias and state estimation error proves to be more accurate than a traditional EKF-based method.

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“…The first and second terms on the right-hand side of (14) are referred to as the Roemer delay. The third term is the Shapiro delay effect.…”

Section: X-ray Pulsar Navigation Measurementmentioning

confidence: 99%

Section: X-ray Pulsar Navigation Measurementmentioning

confidence: 99%

“…Therefore, this equation is valid for our X-ray pulsar navigation. Equation (14) can be also represented as:…”

Section: X-ray Pulsar Navigation Measurementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Novel algorithm for X-ray pulsar navigation against doppler effects

Liu

Fang

Kang

et al. 2015

IEEE Trans. Aerosp. Electron. Syst.

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show abstract

“…Many studies of X-ray pulsar navigation have assumed that the frequency of pulsar signals is known [9][10][11], which is an important parameter in the EF procedure. However, the Doppler effects caused by the motion of the spacecraft results in the distortion of folded pulse profile of X-ray pulsar.…”

Section: Introductionmentioning

confidence: 99%

Fast non‐linearly constrained least square joint estimation of position and velocity for X‐ray pulsar‐based navigation

Liu

Fang

et al. 2014

IET Radar, Sonar & Navigation

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Considering the limited computational capacity of on-board computer, a fast non-linearly constrained least square joint estimation of position and velocity is proposed for X-ray pulsar-based navigation (XNAV). The authors found that besides the distortion of the pulse profile, the Doppler caused by the spacecraft velocity alters the pulse time-of-arrival (TOA). The relationship model between the pulse TOA and the spacecraft velocity is built. Based on this, they can estimate the spacecraft velocity according to the variation of TOAs instead of the pulse profile distortion. In the proposed estimation method, the total observation interval is divided into several equal observation sub-intervals. Then a set of TOAs for sub-intervals can be obtained by the Fourier transform-based TOA estimation method. Finally, the non-linearly constrained least square estimation method is developed to estimate the spacecraft position and velocity. The simulation results have demonstrated that the proposed method is far faster than the maximum-likelihood estimation method, in which the spacecraft velocity is estimated via detecting the distortion of the folded pulse profile. The accuracy of the proposed method is robust to the initial errors and the elements of orbit.

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