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Heterodyne interferometric phase demodulation system based on hysteresis alignment for CNC machine tool positioning
Applied Optics
|August 13, 2026
Summary
A new all-hardware Field-Programmable Gate Array (FPGA) system enhances high-frequency heterodyne interferometry for computer numerical control (CNC) machine tool positioning. This robust solution achieves superior repeatability and eliminates phase jumps for precise industrial measurements.
Area of Science:
- Metrology and Measurement Science
- Instrumentation and Control Systems
- Digital Signal Processing
Background:
- High-frequency heterodyne interferometry is crucial for measuring computer numerical control (CNC) machine tool positioning errors.
- Existing systems face challenges with metastability, phase misalignment, and wavelength jumps, limiting accuracy.
Purpose of the Study:
- To develop a robust all-hardware Field-Programmable Gate Array (FPGA) phase demodulation system.
- To overcome limitations in high-frequency heterodyne interferometric measurements for CNC machine tools.
Main Methods:
- An all-hardware architecture was designed, encompassing signal preprocessing to synchronous data alignment.
- Front-end signal processing incorporated time-domain constraints and multi-stage convergence for noise filtering and metastability suppression.
- Core processing utilized a wide-threshold hysteresis algorithm with a quarter-cycle buffer, and back-end employed synchronous latching and handshake protocols for precise data alignment.
Main Results:
- The developed system achieved an average repeatability of 0.59µm on a 3.2m guide rail, outperforming the Renishaw XL-80 (0.88µm).
- Nonlinear residuals showed high consistency between the proposed system and the benchmark.
- Stability tests confirmed sub-micrometer raw fluctuations with no phase-locking failures or jumps over a 1.5m open path.
Conclusions:
- The timing-deterministic, jump-free hardware solution effectively addresses metastability, phase misalignment, and wavelength jumps.
- The system demonstrates significant potential for high-precision measurement in demanding industrial environments.
- The FPGA-based approach offers a robust and accurate alternative for CNC machine tool error compensation.

