{"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}
引用次数: 4

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.
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从正弦波样本的瞬时频率估计
提出并研究了从正弦波样本中估计瞬时频率的新方法。证明了该表达式与proony方法完全等价。推导了一个扩展的频率表达式,该表达式显示了它的简并性。对于处理器的实现,通过数值实验评估了包括样本量化、数学函数近似和有限长度除法在内的操作引起的估计误差。
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