Nonlinear filtration of Riciandata as a tool for the phase measurements: aspects of a theory
Abstract
The paper presents a new theoretical approach to high precision measuring of the signals’ phase shift by statistical analysis and processing of the amplitude’s sampled data. The amplitude of a quasi-harmonic signal is shown to obey to the Rice statistical distribution. The approach is based upon the application of methods of the Rician data’s two-parameter analysis ensuring an efficient separation of the signal’s informative and noise components. A meaningful peculiarity of the proposed approach consists in the possibility of determination of the signals’ sough-for parameters only on the basis of the sampled measurements, without any a priori assumptions. Moreover, as applied to the specific task of high-precision measuring the phase shift between the signals’ propagation by various channels, the approach implies the implementation of the amplitude measurements only, thus providing an essential decrease in technical requirements to the equipment. The technique is meaningful for a wide spectrum of various scientific and applied tasks, in particular, in metrology, in ranging and communication systems.
- Publication:
-
Journal of Physics Conference Series
- Pub Date:
- December 2018
- DOI:
- 10.1088/1742-6596/1096/1/012136
- Bibcode:
- 2018JPhCS1096a2136Y