H∞ Filtering for Bias Correction in Post-Processing of Numerical Weather Prediction

• Published in: Journal of the Meteorological Society of Japan Vol. 97; no. 3; pp. 773 - 782
• Main Authors: LIM, Jaechan, PARK, Hyung-Min
• Format: Journal Article
• Language: English
• Published: Meteorological Society of Japan 2019
• Subjects: H-infinity filtering; Kalman filtering; model post-processing; numerical weather prediction
• ISSN: 0026-1165; 2186-9057
• DOI: 10.2151/jmsj.2019-041

In this paper, we propose an H-infinity (H∞) filtering approach for the prediction of bias in post-processing of model outputs and past measurements. This method adopts a minimax strategy that is a solution for zero-sum games. The proposed H∞ filtering approach minimizes maximum possible errors whereas a recently proposed approach that adopts Kalman filtering (KF) minimizes the mean square errors. The proposed approach does not need the information of noise statistics unlike the method based on the KF, while the training process is required. We show that the proposed approach outperforms the method based on the KF in experiments by applying real weather data in Korea.