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dc.contributor.author | Mandai, Takeshi | en |
dc.contributor.alternative | 萬代, 武史 | ja |
dc.contributor.transcription | マンダイ, タケシ | - |
dc.date.accessioned | 2019-03-07T05:45:20Z | - |
dc.date.available | 2019-03-07T05:45:20Z | - |
dc.date.issued | 2017-10 | - |
dc.identifier.issn | 1880-2818 | - |
dc.identifier.uri | http://hdl.handle.net/2433/237182 | - |
dc.description.abstract | For a real signal (a real-valued function) f(t), we consider its analytic signal (mathcal{A}f)(t) = f(t)+i(mathcal{H}f)(t), where (mathcal{H}f)(t) is the Hilbert transform of f(t). Its absolute value A(t) = |(Af)(t)|, which is called instantaneous amplitude, often represents a coarse variation of f(t), and the graph of A(t) looks like an envelope of the graph of |f(t)|. However, for some signals, A(t) changes rather rapidly, and it doesn t look like an envelope of the graph of |f(t)|. We give mathematically rigorous inequalities about hat{A^{2}}( $xi$) (A^{2}(t) = {A(t)}^{2}) which can be considered to explain this difference. We also consider the best possibility of the constants of the inequalities. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | 京都大学数理解析研究所 | ja |
dc.publisher.alternative | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.subject | analytic signal | en |
dc.subject | Hilbert transform | en |
dc.subject | instantaneous amplitude | en |
dc.subject | envelope | en |
dc.subject | frequency band | en |
dc.subject.ndc | 410 | - |
dc.title | On Inequalities about Instantaneous Amplitudes (Wavelet analysis and signal processing) | en |
dc.type | departmental bulletin paper | - |
dc.type.niitype | Departmental Bulletin Paper | - |
dc.identifier.ncid | AN00061013 | - |
dc.identifier.jtitle | 数理解析研究所講究録 | ja |
dc.identifier.volume | 2056 | - |
dc.identifier.spage | 34 | - |
dc.identifier.epage | 53 | - |
dc.textversion | publisher | - |
dc.sortkey | 02 | - |
dc.address | Research Center for Physics and Mathematics, Osaka Electro-Communication University | en |
dc.address.alternative | 大阪電気通信大学工学部 | ja |
dcterms.accessRights | open access | - |
datacite.awardNumber | 24540197 | - |
dc.identifier.jtitle-alternative | RIMS Kokyuroku | en |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName.alternative | Japan Society for the Promotion of Science (JSPS) | en |
出現コレクション: | 2056 ウェーブレット解析と信号処理 |
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