Fundamental theory of natural observation method with complete reconstruction property by finite sum-natural observation theory of normal type
✍ Scribed by Taizo Iijima; Mamoru Iwaki
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 806 KB
- Volume
- 79
- Category
- Article
- ISSN
- 1042-0967
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✦ Synopsis
A theory of natural observation methods was originally formulated for two complementary systems: neighboring type and equilibrium type. This paper introduces a new system, normal-type system, that is different from the forementioned two types. One characteristic feature of the normal-type natural observation method is its ability to reconstruct an original waveform from the sum of a finite number of observation values. The natural observation theory of a normal type evolves naturally under the condition that a waveform and its power component can be expressed in the sum form. These meanings are discussed by comparing a frequency response of the normal-type natural observation taansform with that of a conventional filter bank. Furthermore, a criterion for determining observation parameters in order to realize the natural observation of normal type under a given tolerance of error is described. It is believed that the proposed theory offers new insights into systematization of the natural observation theory.