Measurement and control from frequency to phase based on virtual signal reconstruction

Area of Science:

• Metrology
• Signal Processing
• Virtual Reconstruction

Background:

• Accurate phase comparison is crucial for high-precision frequency measurements.
• Existing methods often require frequency transformation, introducing potential errors.
• Directly processing phase differences between signals of different nominal frequencies presents a significant challenge.

Purpose of the Study:

• To propose a virtual reconstruction method for direct phase information capture between different nominal frequency signals.
• To achieve high-precision phase comparison without frequency transformation.
• To validate the method's performance and precision.

Main Methods:

• Constructing a virtual standard frequency signal matching the measured signal's nominal frequency.
• Implementing synchronous comparison gates covering multiple signal periods.
• Determining phase variations within each gate for continuous phase measurement.

Main Results:

• Successful direct processing of phase differences between signals with different nominal frequencies.
• Achieved a comparison precision of 10^-17/day.
• Demonstrated the method's effectiveness across a wide range.

Conclusions:

• The proposed virtual reconstruction method offers a direct and precise approach to phase comparison.
• This technique eliminates the need for frequency transformation, enhancing measurement accuracy.
• The demonstrated precision of 10^-17/day validates its utility in advanced metrology applications.