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3. The measurement of precipitable water by SSM/I may use the Alishouse et al. (

ID: 120663 • Letter: 3

Question

3. The measurement of precipitable water by SSM/I may use the Alishouse et al. (1990) algorithm ao=232.89292 al=-0.148596 a)--1.829 125 a3_-0.36954 a4-0.006 193 A scene in the Pacific ocean taken close to a typhoon, away from coasts has the following brightness temperatures Ti9v-215.7K. T22v-2552K, T3TV-230.1K a) Calculate the precipitable water in this area. b) Assuming each channel has an NEDT of 0.5 K, estimate the rms uncertainty in this derivation caused by these noise sources. What are other likely sources of uncertainties? (10 + 20 points = 30 points)

Explanation / Answer

Precipitable water = 232.89292 + (-0.148596 x215.7) + (-1.829125 x 255.2) + (-0.36954 x 230.1)

= -350.9830912

For RMS we have to calculate the residual value by subtracting the actual values and the predicted values and then squaring the residuals, averaging the squares, and taking the square root gives, hence adding 0.5K in all teperature values will make Precipitable water value as -352.1567217

residual value = 1.17363

RMS uncertainity = (1.17363)1/2 = 1.083342

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