{"title":"Analytical solution for a steady-state Kalman filter tracker with random power spectral density process noise","authors":"J. J. Sudano","doi":"10.1109/NAECON.1995.522020","DOIUrl":null,"url":null,"abstract":"An analytical solution is obtained for a steady-state Kalman filter tracker with a random power spectral density as process noise. Great insight is obtained from these analytic solutions of trackers. Optimal relationships are obtained between the gain variables. A unitless tracking index is defined as the only variable driving the steady-state Kalman filter tracker. This unitless tracking index value is defined as: /spl Lambda/=/spl radic/(psd8(/spl Delta/T)/sup 3///spl sigma//sub m//sup 2/). Optimal gains and minimum covariance are analytically calculated given the tracking index /spl Lambda/A.","PeriodicalId":171918,"journal":{"name":"Proceedings of the IEEE 1995 National Aerospace and Electronics Conference. NAECON 1995","volume":"199 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the IEEE 1995 National Aerospace and Electronics Conference. NAECON 1995","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NAECON.1995.522020","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
An analytical solution is obtained for a steady-state Kalman filter tracker with a random power spectral density as process noise. Great insight is obtained from these analytic solutions of trackers. Optimal relationships are obtained between the gain variables. A unitless tracking index is defined as the only variable driving the steady-state Kalman filter tracker. This unitless tracking index value is defined as: /spl Lambda/=/spl radic/(psd8(/spl Delta/T)/sup 3///spl sigma//sub m//sup 2/). Optimal gains and minimum covariance are analytically calculated given the tracking index /spl Lambda/A.