{"title":"用改进谐波小波变换表征机械冲击","authors":"D. Smallwood","doi":"10.17764/JIET.54.2.J187251G263N25PV","DOIUrl":null,"url":null,"abstract":"A modified harmonic wavelet transform is used to estimate a time varying spectral density. The resolution of the estimate has an approximate constant time-frequency product. The estimation error is directly related to this time-frequency product. Unwanted cross product terms are effectively minimized. Several examples are given: White random, two sine waves, chirps, impulses, sums of exponentially decaying sinusoids, and a pyroshock. It is also shown how realizations can be generated from the modified harmonic wavelet transform estimate of the time varying spectral density.","PeriodicalId":35935,"journal":{"name":"Journal of the IEST","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Using a Modified Harmonic Wavelet Transform to Characterize Mechanical Shock\",\"authors\":\"D. Smallwood\",\"doi\":\"10.17764/JIET.54.2.J187251G263N25PV\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A modified harmonic wavelet transform is used to estimate a time varying spectral density. The resolution of the estimate has an approximate constant time-frequency product. The estimation error is directly related to this time-frequency product. Unwanted cross product terms are effectively minimized. Several examples are given: White random, two sine waves, chirps, impulses, sums of exponentially decaying sinusoids, and a pyroshock. It is also shown how realizations can be generated from the modified harmonic wavelet transform estimate of the time varying spectral density.\",\"PeriodicalId\":35935,\"journal\":{\"name\":\"Journal of the IEST\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-10-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the IEST\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17764/JIET.54.2.J187251G263N25PV\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the IEST","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17764/JIET.54.2.J187251G263N25PV","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}
Using a Modified Harmonic Wavelet Transform to Characterize Mechanical Shock
A modified harmonic wavelet transform is used to estimate a time varying spectral density. The resolution of the estimate has an approximate constant time-frequency product. The estimation error is directly related to this time-frequency product. Unwanted cross product terms are effectively minimized. Several examples are given: White random, two sine waves, chirps, impulses, sums of exponentially decaying sinusoids, and a pyroshock. It is also shown how realizations can be generated from the modified harmonic wavelet transform estimate of the time varying spectral density.
期刊介绍：
The Journal of the IEST is an official publication of the Institute of Environmental Sciences and Technology and is of archival quality and noncommercial in nature. It was established to advance knowledge through technical articles selected by peer review, and has been published for over 50 years as a benefit to IEST members and the technical community at large as as a permanent record of progress in the science and technology of the environmental sciences
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