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Purpose

The purpose of this paper is to propose modelling of the noise of an improved method for the measurement of small displacement and vibrations. It is based on a novel method for overcoming DC drift in RF subcarrier phase detection scheme.

Design/methodology/approach

The method works in open loop and is characterized by low distortions, good signal‐to‐noise ratio and rather low cost.

Findings

Considering a stationary Gaussian stochastic process, the paper evaluated and modelled the power spectral density and the probability density against the phase error and the phase noise parameter.

Practical implications

This offers an improvement of vibration, displacement and seismic sensors.

Originality/value

Based on a novel method for overcoming DC drift in RF sub‐carrier phase detection scheme for fibre optic sensors, an improved method for displacement and vibration measurement is proposed. The presented method is characterized by rather low distortions in the modulation process and small distances measurement, low distortions and low‐cost electronic systems.

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