Transactions of the Society of Instrument and Control Engineers
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
Representation Method of Multidimensional Data by Polar Fourier Series Using Its Graphical Characteristics
Futoshi SUGIMOTONakaji HONDA
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1985 Volume 21 Issue 6 Pages 584-591

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Abstract

By using the Polar Fourier Series Graph (PFSG)-a graphical representation of multidimentional data, one can easily distinguish the similarity or the difference of the characteristics of the data. This is due to the fact that the PFSG's figure has easily distinguishable features, and it is represented as a smooth and closed curve. On the other hand, each component of multidimensional data can not be explicitly represented on the figure's shape of the PFSG, and it is therefore impossible to read the degree of the data and its component from the curve. This becomes a great problem if one wants to use the PFSG for several purposes in any multidimensional data application.
This paper proposes a graphical representation of multidimensional data which solves the problem mentioned above along with the use of the performance of PFSG. In the representation, each component of the data can be directly expressed by linking it to some figure's geometrical feature. Applications for communication media in man-machine system are performed to show the efficiency of the method.

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