Methodology for Measuring Phase Shifts of Signals Using Discrete Hilbert Transform

The phase methods for measuring physical quantities and the phase measuring equipment are widely used in various fields of science and technology. Improving the metrological characteristics of phase measuring equipment, which is intended for use in a wide range of signal-to-noise ratio, involves the development of a methodology for phase measurements and the presentation of their results based on the harmonization of the material and physical measures of phase shifts. The paper proposes a signal processing methodology based on a combination of the discrete Hilbert transform and deterministic as well as statistical methods of phase measurement. Circular statistics such as circular mean, circular variance and the resulting vector length are proposed for use in the phase measurements.