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Signal detection algorithms for interferometric sensors with harmonic phase modulation: distortion analysis and

Leonid Liokumovich, Andrei Medvedev, Konstantin Muravyov

|October 20, 2017

Summary

This study analyzes phase demodulation errors in interferometric optical sensors. A new 4+1 algorithm significantly reduces errors caused by signal variations, improving sensor accuracy.

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Area of Science:

Optics and Photonics
Sensor Technology
Signal Processing

Background:

Digital demodulation schemes with harmonic phase modulation are crucial for interferometric optical sensors.
Variations in the target signal can introduce significant phase demodulation errors.
Existing algorithms like the 4-point method exhibit sensitivity to these signal variations.

Purpose of the Study:

To theoretically evaluate the influence of target signal variations on phase demodulation errors.
To develop a novel demodulation algorithm with suppressed sensitivity to target signal variations.
To propose and validate a new 4+1 demodulation algorithm.

Main Methods:

Theoretical analysis of phase error magnitude dependence on signal derivatives and modulation amplitude.
Derivation of an analytical expression for phase error in a 4-point algorithm.
Development of an approach for synthesizing algorithms with reduced sensitivity.
Proposal and analytical evaluation of a new 4+1 demodulation algorithm.
Numeric simulation to verify analytical findings.

Main Results:

An analytical expression for phase error in the 4-point algorithm was derived, showing dependence on the signal's first derivative and mean value.
A novel 4+1 demodulation algorithm was developed, reducing sensitivity to target signal variations.
The new 4+1 algorithm's demodulation error is proportional to the second derivative of the target signal, orders of magnitude smaller than the 4-point algorithm.
Numeric simulations confirmed the analytical predictions regarding phase errors.

Conclusions:

The proposed 4+1 demodulation algorithm offers significantly improved accuracy for interferometric optical sensors.
The new algorithm effectively mitigates phase demodulation errors caused by target signal variations.
This advancement has implications for enhancing the performance of optical sensing systems.