An uncertainty principle in the natural observation transform of neighboring type.

Natural observation theory was developed in order to make reasonable observations of waveforms under natural observation conditions. This paper aims to clarify the observation characteristics of the theory of neighboring type from the viewpoint of an uncertainty principle. The new concept of equivalent time constant is introduced as a means for representing the uncertainty principle. The representation of the certainty principle in terms of the equivalent time constant has the advantage of representing the uncertainty principle of the Fourier transform more accurately. The uncertainty principle of the natural observation transform of neighboring type is derived by using the representation formula in which the equivalent time constant plays an essential role. This paper gives a detailed presentation of the uncertainty principle and provides a new insight to the set of fundamental observed values of the neighboring type in relation to the resolution of waveform observations. © 1997 Scripta Technica, Inc. Electron Comm Jpn Pt 3, 80(7): 11–19, 1997 [ABSTRACT FROM AUTHOR]