Popular mathematical description of natural landscapes rely upon fractal geometry and a peculiar parameter of the model is the Hurst coefficient HX, which rules the correlation properties of the real scene. The random process modelling the remotely collected data may preserve the fractal behavior of the original scene and its second-order statistics is then characterized by a Hurst number HY . However, HY = HX is only one of the possibilities arising from the mapping real scene → collected data. The relationships between the two Hurst parameters, hence between the second-order properties of the correspondent random processes, are investigated in the simplified scenario where the above mapping is a zeromemory nonlinearity. The obtained results improve and corroborate the work of [2].
A Study of the Relationships Between the Real Scene Statistics and Those of the Backscattered Signal
ADDESSO, PAOLO;MARANO, Stefano;RESTAINO, Rocco
2005-01-01
Abstract
Popular mathematical description of natural landscapes rely upon fractal geometry and a peculiar parameter of the model is the Hurst coefficient HX, which rules the correlation properties of the real scene. The random process modelling the remotely collected data may preserve the fractal behavior of the original scene and its second-order statistics is then characterized by a Hurst number HY . However, HY = HX is only one of the possibilities arising from the mapping real scene → collected data. The relationships between the two Hurst parameters, hence between the second-order properties of the correspondent random processes, are investigated in the simplified scenario where the above mapping is a zeromemory nonlinearity. The obtained results improve and corroborate the work of [2].I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
