科研之友
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摘要
The authors suggest a general theory for consideration of all experiments associated with measurements of reproducible data in one unified scheme. The suggested algorithm does not contain unjustified suppositions and the final function that is extracted from these measurements can be compared with hypothesis that is suggested by the theory adopted for the explanation of the object/phenomenon studied. This true function is free from the influence of the apparatus (instrumental) function and when the "best fit'', or the most acceptable hypothesis, is absent, can be presented as a segment of the Fourier series. The discrete set of the decomposition coefficients describes the final function quantitatively and can serve as an intermediate model that coincides with the amplitude-frequency response (AFR) of the object studied. It can be used by theoreticians also for comparison of the suggested theory with experimental observations. Two examples (Raman spectra of the distilled water and exchange by packets between two wireless sensor nodes) confirm the basic elements of this general theory. From this general theory the following important conclusions follow: @@@ 1. The Prony's decomposition should be used in detection of the quasi-periodic processes and for quantitative description of reproducible data. @@@ 2. The segment of the Fourier series should be used as the fitting function for description of observable data corresponding to an ideal experiment. The transition from the initial Prony's decomposition to the conventional Fourier transform implies also the elimination of the apparatus function that plays an important role in the reproducible data processing. @@@ 3. The suggested theory will be helpful for creation of the unified metrological standard (UMS) that should be used in comparison of similar data obtained from the same object studied but in different laboratories with the usage of different equipment. @@@ 4. Many cases when the conventional theory confirms the experimental data obtained from equipment (where the apparatus function was not taken into account) should be remeasured and some of the competitive theoretical hypothesis can be reconsidered, as well. @@@ 5. New theory after the optimization of its basic algorithm can automatize the whole procedure of measurements used as a basic tool for collection and further comparison of reproducible data. @@@ Two examples (Raman spectra of the distilled water and exchange by packets between two wireless sensor nodes) confirm the basic elements of this new theory.
- 出版日期2015-10
- 单位暨南大学
