{"title":"从正弦波样本的瞬时频率估计","authors":"K. Kubo","doi":"10.1109/SICE.2000.889647","DOIUrl":null,"url":null,"abstract":"New method of estimating instantaneous frequency from sine wave samples is proposed and studied. The proposed expression is proved to be fully equivalent to the Prony's method. An extended frequency expression, which shows its degeneracy into the proposed expression, is also derived. Toward implementation for processors, estimating errors caused by operations including quantization in samples, approximation of mathematical functions, and finite-length division, are evaluated by numerical experiments.","PeriodicalId":254956,"journal":{"name":"SICE 2000. Proceedings of the 39th SICE Annual Conference. International Session Papers (IEEE Cat. No.00TH8545)","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Instantaneous frequency estimation from sine wave samples\",\"authors\":\"K. Kubo\",\"doi\":\"10.1109/SICE.2000.889647\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"New method of estimating instantaneous frequency from sine wave samples is proposed and studied. The proposed expression is proved to be fully equivalent to the Prony's method. An extended frequency expression, which shows its degeneracy into the proposed expression, is also derived. Toward implementation for processors, estimating errors caused by operations including quantization in samples, approximation of mathematical functions, and finite-length division, are evaluated by numerical experiments.\",\"PeriodicalId\":254956,\"journal\":{\"name\":\"SICE 2000. Proceedings of the 39th SICE Annual Conference. International Session Papers (IEEE Cat. No.00TH8545)\",\"volume\":\"17 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-07-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SICE 2000. Proceedings of the 39th SICE Annual Conference. International Session Papers (IEEE Cat. No.00TH8545)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SICE.2000.889647\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SICE 2000. Proceedings of the 39th SICE Annual Conference. International Session Papers (IEEE Cat. No.00TH8545)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SICE.2000.889647","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Instantaneous frequency estimation from sine wave samples
New method of estimating instantaneous frequency from sine wave samples is proposed and studied. The proposed expression is proved to be fully equivalent to the Prony's method. An extended frequency expression, which shows its degeneracy into the proposed expression, is also derived. Toward implementation for processors, estimating errors caused by operations including quantization in samples, approximation of mathematical functions, and finite-length division, are evaluated by numerical experiments.
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