Accession Number:

AD1079895

Title:

Ito-Taylor Expansion Moments for Continuous-Time State Propagation

Personal Author(s):

Corporate Author:

NAVAL RESEARCH LAB WASHINGTON DC WASHINGTON United States

Report Date:

2019-08-20

Abstract:

The state-prediction step of the continuous-discrete cubature Kalman filter by Arasaratnam, Haykin, and Hurd was derived using the mean andcovariance matrix of an order-1.5 strong It-Taylor expansion for autonomous additive noise. In this note, we provide the mean and covariancematrix of a variety of strong and weak It-Taylor expansions, enabling the implementation of nine continuous-discrete cubature Kalman filtervariants.

Descriptive Note:

Technical Report

Supplementary Note:

01 Jan 0001, 01 Jan 0001, The state-prediction step of the continuous-discrete cubature Kalman filter by Arasaratnam, Haykin, and Hurd was derived using the mean andcovariance matrix of an order-1.5 strong It-Taylor expansion for autonomous additive noise. In this note, we provide the mean and covariancematrix of a variety of strong and weak It-Taylor expansions, enabling the implementation of nine continuous-discrete cubature Kalman filtervariants.

Pages:

0012

Subject Categories:

Communities Of Interest:

Modernization Areas:

Distribution Statement:

Approved For Public Release;

File Size:

0.62MB