在有噪声的情况下估计正弦波振幅所用的样本数

IF 0.8 4区工程技术 Q4 INSTRUMENTS & INSTRUMENTATION

Tm-Technisches Messen Pub Date : 2023-11-01 DOI:10.1515/teme-2023-0118

Francisco André Corrêa Alegria

{"title":"在有噪声的情况下估计正弦波振幅所用的样本数","authors":"Francisco André Corrêa Alegria","doi":"10.1515/teme-2023-0118","DOIUrl":null,"url":null,"abstract":"Abstract The number of samples required to estimate the amplitude of a digitized sinewave depends on the amount of additive noise present, more specifically, on the precision of the estimator used which is depends directly on the additive noise standard deviation. Here an analytical approximate expression for this precision is derived and then used to derive an analytical expression useful in computing the minimum of number of samples that should be acquired to guarantee a given bound on the prevision of the sinewave amplitude estimates.","PeriodicalId":56086,"journal":{"name":"Tm-Technisches Messen","volume":"19 1","pages":"0"},"PeriodicalIF":0.8000,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Number of samples to use in estimating sinewave amplitude in the presence of noise\",\"authors\":\"Francisco André Corrêa Alegria\",\"doi\":\"10.1515/teme-2023-0118\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract The number of samples required to estimate the amplitude of a digitized sinewave depends on the amount of additive noise present, more specifically, on the precision of the estimator used which is depends directly on the additive noise standard deviation. Here an analytical approximate expression for this precision is derived and then used to derive an analytical expression useful in computing the minimum of number of samples that should be acquired to guarantee a given bound on the prevision of the sinewave amplitude estimates.\",\"PeriodicalId\":56086,\"journal\":{\"name\":\"Tm-Technisches Messen\",\"volume\":\"19 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tm-Technisches Messen\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/teme-2023-0118\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"INSTRUMENTS & INSTRUMENTATION\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tm-Technisches Messen","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/teme-2023-0118","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"INSTRUMENTS & INSTRUMENTATION","Score":null,"Total":0}

引用次数: 0

摘要

估计数字化正弦波振幅所需的样本数取决于存在的加性噪声的量，更具体地说，取决于所使用的估计器的精度，而估计器的精度直接取决于加性噪声的标准差。这里推导出该精度的解析近似表达式，然后用它推导出一个解析表达式，用于计算为保证正弦波振幅预估的给定界而应获得的最小样本数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Number of samples to use in estimating sinewave amplitude in the presence of noise

Abstract The number of samples required to estimate the amplitude of a digitized sinewave depends on the amount of additive noise present, more specifically, on the precision of the estimator used which is depends directly on the additive noise standard deviation. Here an analytical approximate expression for this precision is derived and then used to derive an analytical expression useful in computing the minimum of number of samples that should be acquired to guarantee a given bound on the prevision of the sinewave amplitude estimates.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Tm-Technisches Messen 工程技术-仪器仪表

CiteScore

1.70

自引率

20.00%

发文量

105

审稿时长

6-12 weeks

期刊介绍： The journal promotes dialogue between the developers of application-oriented sensors, measurement systems, and measurement methods and the manufacturers and measurement technologists who use them. Topics The manufacture and characteristics of new sensors for measurement technology in the industrial sector New measurement methods Hardware and software based processing and analysis of measurement signals to obtain measurement values The outcomes of employing new measurement systems and methods.