Villamizar-Morales, Jorge

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    Marco teórico computacional de un álgebra de señales para el procesamiento de imágenes en aplicaciones de interferometría
    (2006) Villamizar-Morales, Jorge; Rodríguez, Domingo; College of Engineering; Palomera-Garcia, Rogelio; Rodríguez, Néstor; Department of Electrical and Computer Engineering; Walker, Uroyoán R.
    This work deals with the development of a computational signal algebra frame- work for the modeling and simulation of signals interferometry processing applications. The signal algebra is constructed by using the binary two-dimensional cyclic convolution as the product operation that turns a vectorial space of two-dimensional ??nite discrete signals into an algebra. Matrix representations of two-dimensional cyclic convolution operations are represented as block circulant matrices with circulant blocks when ??nite discrete signals object arrays, serving as inputs in the unary ope- ration representation of the cyclic convolution are transformed into one-dimensional column vectors using, both, lexicographic and anti-lexicographic ordering. Special attention is given to the algebra of cyclic correlations which is related to the algebra of cyclic convolutions through the index reversal or refl??ection operator. The numeric computation and scientifi??c visualization package MATLAB?? is used as an environment for the modeling and simulation. Special attention is given to radar interferometry applications. Radar interferometry, as a correlation technique between two signals, is used to detect Earth surface changes produced by phenomena such as landslides, earthquakes, and ??ash f??oods.