Bayesian formulation of DSD retrieval algorithm for dual-polarized X-band weather radar network

Raindrop size distribution (DSD) retrieval algorithm for a weather radar network consisting of X-band dual-polarization weather radars is proposed. This algorithm is based on a DSD retrieval method for a single-radar (SRR), which is elaborated in our paper of the SRR, “RAINDROP SIZE DISTRIBUTION (DSD) RETRIEVAL FOR X-BAND DUAL-POLARIZATION RADAR” in this conference. The SRR outputs an ML solution of the two DSD parameters of the normalized Gamma DSD, N_w and D₀. The proposed algorithm calculates posterior probability of the DSD profile with the use of a prior probability, and then, the posterior probabilities on different polar coordinates are integrated to that on a common Cartesian grid by Bayesian theorem. An example of the numerical simulation shows that the fluctuated DSD profiles of the SRRs are improved to less fluctuated DSD profiles on a common Cartesian grid with spatially homogeneous quality.