Uncertainty in natural observation theory of normal type and an optimum value of the time‐constant parameter
Identifieur interne : 002724 ( Istex/Corpus ); précédent : 002723; suivant : 002725Uncertainty in natural observation theory of normal type and an optimum value of the time‐constant parameter
Auteurs : Taizo Iijima ; Mamoru IwakiSource :
- Electronics and Communications in Japan (Part III: Fundamental Electronic Science) [ 1042-0967 ] ; 2000-08.
English descriptors
Abstract
The natural observation transform is a new formulation of the time waveform as a transform, when a waveform is observed in the short‐term (instantaneous) region specified by the time‐constant parameter at an arbitrary time. The basic observed value sequence not only includes the considered time, but also the information extracted from the waveform in the region specified by the time‐constant parameter. Based on the above property of the natural observation transform, the object of the transform is not the input waveform itself, but the waveform appearing in the region specified by the time and the time‐constant parameter. This paper notes this situation, and discusses the uncertainty that exists between the behavior of the waveform, which is the object of the normal natural observation transform in the whole time region, and the aspect in which the basic observation values are distributed in the sequence for the whole time region. Based on the result of investigation, the optimality criterion for the time‐constant parameter is proposed using the equivalent time‐constant, and a method of determining the optimal value is shown. © 2000 Scripta Technica, Electron Comm Jpn Pt 3, 83(8): 30–38, 2000
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DOI: 10.1002/(SICI)1520-6440(200008)83:8<30::AID-ECJC4>3.0.CO;2-0
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The basic observed value sequence not only includes the considered time, but also the information extracted from the waveform in the region specified by the time‐constant parameter. Based on the above property of the natural observation transform, the object of the transform is not the input waveform itself, but the waveform appearing in the region specified by the time and the time‐constant parameter. This paper notes this situation, and discusses the uncertainty that exists between the behavior of the waveform, which is the object of the normal natural observation transform in the whole time region, and the aspect in which the basic observation values are distributed in the sequence for the whole time region. Based on the result of investigation, the optimality criterion for the time‐constant parameter is proposed using the equivalent time‐constant, and a method of determining the optimal value is shown. © 2000 Scripta Technica, Electron Comm Jpn Pt 3, 83(8): 30–38, 2000</div></front></TEI><istex><corpusName>wiley</corpusName><author><json:item><name>Taizo Iijima</name><affiliations><json:string>Soken Institute Inc., Tanashi, Japan 188‐0014</json:string></affiliations></json:item><json:item><name>Mamoru Iwaki</name><affiliations><json:string>Japan Advanced Institute of Science and Technology, Hokuriku, Ishikawa, Japan 923‐1292</json:string></affiliations></json:item></author><subject><json:item><lang><json:string>eng</json:string></lang><value>theory of natural observation</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>normal type</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>uncertainty</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>natural observation parameter</value></json:item></subject><articleId><json:string>ECJC4</json:string></articleId><language><json:string>eng</json:string></language><abstract>The natural observation transform is a new formulation of the time waveform as a transform, when a waveform is observed in the short‐term (instantaneous) region specified by the time‐constant parameter at an arbitrary time. 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The basic observed value sequence not only includes the considered time, but also the information extracted from the waveform in the region specified by the time‐constant parameter. Based on the above property of the natural observation transform, the object of the transform is not the input waveform itself, but the waveform appearing in the region specified by the time and the time‐constant parameter. This paper notes this situation, and discusses the uncertainty that exists between the behavior of the waveform, which is the object of the normal natural observation transform in the whole time region, and the aspect in which the basic observation values are distributed in the sequence for the whole time region. Based on the result of investigation, the optimality criterion for the time‐constant parameter is proposed using the equivalent time‐constant, and a method of determining the optimal value is shown. © 2000 Scripta Technica, Electron Comm Jpn Pt 3, 83(8): 30–38, 2000</p></abstract></abstractGroup></contentMeta></header></component></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Uncertainty in natural observation theory of normal type and an optimum value of the time‐constant parameter</title></titleInfo><titleInfo type="alternative" contentType="CDATA" lang="en"><title>Uncertainty in natural observation theory of normal type and an optimum value of the time‐constant parameter</title></titleInfo><name type="personal"><namePart type="given">Taizo</namePart><namePart type="family">Iijima</namePart><affiliation>Soken Institute Inc., Tanashi, Japan 188‐0014</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Mamoru</namePart><namePart type="family">Iwaki</namePart><affiliation>Japan Advanced Institute of Science and Technology, Hokuriku, Ishikawa, Japan 923‐1292</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="article" displayLabel="article"></genre><originInfo><publisher>John Wiley & Sons, Inc.</publisher><place><placeTerm type="text">New York</placeTerm></place><dateIssued encoding="w3cdtf">2000-08</dateIssued><copyrightDate encoding="w3cdtf">2000</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><physicalDescription><internetMediaType>text/html</internetMediaType><extent unit="figures">1</extent><extent unit="references">16</extent><extent unit="words">3476</extent></physicalDescription><abstract lang="en">The natural observation transform is a new formulation of the time waveform as a transform, when a waveform is observed in the short‐term (instantaneous) region specified by the time‐constant parameter at an arbitrary time. The basic observed value sequence not only includes the considered time, but also the information extracted from the waveform in the region specified by the time‐constant parameter. Based on the above property of the natural observation transform, the object of the transform is not the input waveform itself, but the waveform appearing in the region specified by the time and the time‐constant parameter. This paper notes this situation, and discusses the uncertainty that exists between the behavior of the waveform, which is the object of the normal natural observation transform in the whole time region, and the aspect in which the basic observation values are distributed in the sequence for the whole time region. Based on the result of investigation, the optimality criterion for the time‐constant parameter is proposed using the equivalent time‐constant, and a method of determining the optimal value is shown. © 2000 Scripta Technica, Electron Comm Jpn Pt 3, 83(8): 30–38, 2000</abstract><subject lang="en"><genre>keywords</genre><topic>theory of natural observation</topic><topic>normal type</topic><topic>uncertainty</topic><topic>natural observation parameter</topic></subject><relatedItem type="host"><titleInfo><title>Electronics and Communications in Japan (Part III: Fundamental Electronic Science)</title></titleInfo><titleInfo type="abbreviated"><title>Electron. Comm. Jpn. Pt. 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