{"title":"数字卡尔曼滤波器的有限状态字长补偿","authors":"D. Williamson","doi":"10.1109/CDC.1984.272222","DOIUrl":null,"url":null,"abstract":"The optimal design of a Kalman filter is considered in respect of its finite wordlength (FWL) characteristics taking into account the round-off noise due to state quantization. The issues are particularly relevant in the design of FWL Kalman filters for continuous-time systems operating under a fast sampling rate. The optimum filter structure includes state residue feedback compensation which can result in the saving of many bits of additional state wordlength.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Finite state wordlength compensation in digital Kalman filters\",\"authors\":\"D. Williamson\",\"doi\":\"10.1109/CDC.1984.272222\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The optimal design of a Kalman filter is considered in respect of its finite wordlength (FWL) characteristics taking into account the round-off noise due to state quantization. The issues are particularly relevant in the design of FWL Kalman filters for continuous-time systems operating under a fast sampling rate. The optimum filter structure includes state residue feedback compensation which can result in the saving of many bits of additional state wordlength.\",\"PeriodicalId\":269680,\"journal\":{\"name\":\"The 23rd IEEE Conference on Decision and Control\",\"volume\":\"5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1984-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The 23rd IEEE Conference on Decision and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1984.272222\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 23rd IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1984.272222","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Finite state wordlength compensation in digital Kalman filters
The optimal design of a Kalman filter is considered in respect of its finite wordlength (FWL) characteristics taking into account the round-off noise due to state quantization. The issues are particularly relevant in the design of FWL Kalman filters for continuous-time systems operating under a fast sampling rate. The optimum filter structure includes state residue feedback compensation which can result in the saving of many bits of additional state wordlength.