Multifractals, universality classes and satellite and radar measurements of cloud and rain fields
作者： Shaun Lovejoy , Daniel Schertzer
关键词: Log-normal distribution 、 Radar 、 Remote sensing 、 Scale invariance 、 Codimension 、 Computer science 、 Universality (dynamical systems) 、 Multifractal system 、 Estimation theory 、 Probability distribution
摘要: The extreme variability of cloud and rain fields poses serious problems in quantitative use remotely sensed satellite radar data. We show how to characterize this using scale invariant (sensor resolution independent) codimension functions which are exponents characterizing the probability distributions. These turn form a three parameter universality class. review properties these multifractal measures empirically evaluate as well classes for infrared visible images new distribution/multiple scaling technique, refining previously published results relating established lognormal phenomenologies. then solve observers' problem reflectivity factors estimate function from radar. Finally, we reexamine some earlier (monofractal) analysis techniques light our findings.
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