Examples of solving metrological problems using the Hilbert transformation for data processing

Examples of solutions to measurement problems employing the Hilbert Transform for data processing are given. Implementation aspects of the Hilbert Transform implementation, based on Fast Fourier Transform (FFT), are noted. The approaches to assessing the steady-state mode of a short-term tone pulse based on the behavior of its envelope, instantaneous values of phase and frequency are considered. The effectiveness of applying the concept of a minimum-phase system to a hydrophone in combination with the possibilities of processing the hydrophone frequency response using the Hilbert Transform is demonstrated. An acoustic method for determining the effective radius of a hydrophone is considered. A novel of the phase-pulse method for measuring the propagation time of a sound impulse from the projector to the receiver is proposed. Approaches that allow overcoming the limitations imposed on the accuracy of measurements by the time-frequency uncertainty relation and the advantages of the proposed methods in comparison with known ones are discussed.

measurement data processing, Minimum phase system, hilbert transform, Tone-burst, transient process, effective radius of hydrophone, time of sound pulse propagation from the projector to the receiver