Title :
Frame sequences and representations for samplable random processes
Author :
Medina, Juan Miguel ; Cernuschi-Frias, Bruno
Author_Institution :
Inst. Argentino de Mat. “A. Calderon”, Univ. de Buenos Aires, Buenos Aires, Argentina
Abstract :
In this work characterize random signals which can be linearly determined by its discrete time samples, this problem is related to the question of the representation of random variables by means of a frame sequence. We study different representations for processes which are linearly determined by a frame sequence. This concerns the stable representation of continuous time processes by means of discrete samples. Finally, we study how these can be applied in reducing the effects of reconstructing a random signal from corrupted samples by additive noise.
Keywords :
random processes; random sequences; signal reconstruction; signal representation; signal sampling; additive noise; continuous time processes representation; discrete time samples; frame representation; frame sequence; linear determination; random signal reconstruction; random variable representation; samplable random process; Extraterrestrial measurements; Hilbert space; Indexes; Kernel; Random processes; Transforms; Vectors;
Conference_Titel :
Biennial Congress of Argentina (ARGENCON), 2014 IEEE
Conference_Location :
Bariloche
Print_ISBN :
978-1-4799-4270-1
DOI :
10.1109/ARGENCON.2014.6868542
