A Multi-Objective Optimization Method for Selecting the Order of Time-Varying Fractional Delay Interpolation in Space Gravitational-Wave Arm-Locking Systems

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This study optimizes fractional-delay interpolation for space-based gravitational-wave detectors, where arm-locking sensitivity relies heavily on precise signal reconstruction. It establishes a benchmark simulation framework to quantitatively evaluate how interpolation order influences laser frequency noise suppression. The findings assist in balancing computational efficiency with the rigorous accuracy required for time-varying delayed optical links.