Remote Evaluation of Rotational Velocity Using a Quadrant Photo-Detector and a DSC Algorithm

Area of Science:

• Optical Engineering
• Metrology
• Signal Processing

Background:

• Remote measurement of rotational velocity is crucial in various industrial and scientific applications.
• Traditional methods often involve complex setups or computationally intensive algorithms.

Purpose of the Study:

• To develop a simple, accurate, and effective method for remote rotational velocity evaluation.
• To introduce a novel algorithm that enhances efficiency compared to existing techniques.

Main Methods:

• Utilizing a quadrant photo-detector to capture object rotation signals.
• Implementing a differential subtraction correlation (DSC) algorithm to determine rotational velocity from detector outputs.
• The DSC algorithm avoids multiplication operations, simplifying computation.

Main Results:

• The proposed method accurately determined rotational velocity (amplitude and direction) with an error of approximately 0.3%.
• The DSC algorithm demonstrated over 1100 times the efficiency of traditional cross-correlation methods for large datasets (N > 4800).
• The method eliminates the need for a circular division disk, reducing error sources.

Conclusions:

• The developed approach provides a simple, accurate, and effective solution for remote rotational velocity measurement.
• The DSC algorithm offers significant computational advantages, making it highly efficient for real-time applications.
• This method paves the way for improved remote sensing technologies in rotational dynamics.