Hybrid-Augmented Resolution Dealiasing (HARD) Algorithm for Solving Daily Satellite Gravity Field Solutions

The Hybrid-Augmented Resolution Dealiasing (HARD) algorithm uses a sliding-window technique to co-estimate 3-day low-degree and daily high-degree spherical harmonic coefficients from 3-day and daily normal matrices. When using the HARD algorithm, please cite Yan, Z., Ran, J., Chen, J., et al. (2026). Breaking the Temporal Resolution Barrier: Projected Performance of Hybrid Gravity Satellite Ensemble by the Early 2030s, Earth's Future.