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On the uncertainty principle in natural observation transforms of normal type

✍ Scribed by Taizo Iijima; Mamoru Iwaki

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 434 KB
Volume: 81
Category: Article
ISSN: 1042-0967
DOI: 10.1002/(sici)1520-6440(199807)81:7<45::aid-ecjc6>3.0.co;2-#

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✦ Synopsis

In natural observation theory, input waveforms are observed using natural observation transforms. Especially in the case of the neighboring type, the effect of the uncertainty principle as it applies to a natural observation transform was clarified by using the equivalent time constant. This paper aims to characterize natural observation transforms of normal type in waveform observation from the point of view of the uncertainty principle. Besides the equivalent time constant, the average degree index is introduced to represent the uncertainty principle. It describes a relation between the equivalent time constant and the variance in the observation degree. This paper gives a new insight into the set of fundamental observed values of normal type from the point of view of observation resolution.

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