Optimization of the moving averaging-moving differential algorithm for Φ-OTDR

Area of Science:

• Optical Engineering
• Signal Processing
• Sensor Technology

Background:

• Phase-sensitive optical time-domain reflectometry (Φ-OTDR) is crucial for vibration sensing.
• The moving averaging-moving differential (MA-MD) algorithm is standard for event recognition and positioning in Φ-OTDR.
• Understanding MA-MD algorithm parameters is key to improving its performance.

Purpose of the Study:

• To discover and prove theorems for critical MA-MD algorithm parameters.
• To provide a theoretical basis for optimizing Φ-OTDR vibration sensing.
• To enhance the practical application and efficiency of the MA-MD algorithm.

Main Methods:

• Mathematical theorem formulation and proof.
• Theoretical analysis of MA window width and MD interval.
• Verification of theorems through simulation or experimental data (implied).

Main Results:

• Two theorems regarding MA window width and MD interval were established and proven.
• The theorems provide a method to achieve optimal signal-to-noise ratio.
• The theorems ensure no vibration signals are missed and improve signal-searching efficiency.

Conclusions:

• The proven theorems are essential for understanding MA-MD algorithm characteristics.
• This work significantly benefits the practical application of Φ-OTDR vibration sensing.
• Optimized parameters lead to more reliable and efficient vibration detection.