Fundamental theory of natural observation method with complete reconstruction property by finite sum‐natural observation theory of normal type
Taizo Iijima, Mamoru Iwaki · Electronics and Communications in Japan (Part III Fundamental Electronic Science) · 1996
Abstract 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 transform with that of a conventional filter bank. Further more, 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.