The general idea behind the MICRA statistical integration techniques is to combine the appealing spatial and temporal sampling of IR sensors, mounted on geo-stationary platforms, with the higher accuracy of passive MW methods for rain-rate retrieval. The statistical integration techniques are applied within a procedure, which is supposed to run continuously on global scale. This procedure is based on a background process and a foreground process.
The background process consists first of estimating the surface rain-rate from available LEO-MW measurements by means of either empirical retrieval algorithms or inversion schemes based on parametric cloud radiative models (inversion step). This means that we are considering an estimator F-1 which enables the inversion a set of TBs at frequency nn and polarization pm, generally spanning from 10GHz to 150GHz and two linear orthogonal polarizations for rainfall applications, to provide a rain-rate product spatially integrated within the nominal area A.
The second step of the background process pursues the combination of LEO-MW sensor data with data coming from GEO-IR sensor in space and time on a global scale (collocation step). This step consists of temporally locating the GEO-IR data within the series of past ten minutes of the LEO-MW data time and of re-mapping it into the geographic coordinates available both for GEO- IR and LEO-MW measurements and observations. It is worth noting that, since spatial resolution of MW data is generally worse than IR ones, a MW field-of-view of nominal area A generally includes more than one IR pixel. For DMSP-SSM/I products, for instance, the nominal resolution of 25 km corresponds at mid-latitudes at about 5x5 pixels of MeteoSat-VISSR IR channel.
Thus, for a given MW-based rain-rate R, attributed to a nominal area A, we can compute several spatial moment of IR brightness temperature TIR:
- Average value Ta within A;
- Minimum value Tm within A;
- Standard deviation sT within A.
As a result of the background process, a data set is generated, containing the per-pixel rain-rate retrieved from LEO-MW data, the co-located GEO-IR brightness temperature and the pixel geo-location. This process is continuously ongoing, since new LEO-MW and GEO-IR data are continuously ingested on a global scale depending on available satellite platforms.