Artículos de revistas
Segundo informe sobre la precipitación radioactiva
Autor
ALBA , FERNANDO
VÁZQUEZ BARETE, MANUEL
BRODY , TOMÁS
LEZAMA , H.
TEJERA , A.
Institución
Resumen
IN A PREVIOUS PAPER, CERRILLO´S METHOD OF SYNTHESIS USING WINDOW DISTRIBUTIONS WAS APPLIED TO THE FILTERING PROBLEM OF A STOCHASTIC SECOND ORDER PROCESS, HAVING A COVARIENCE RIEMMAN INTEGRABLE WITH RESPECT TO THE IMPULSE FUNCTION (GREEN´S FUNCTION) OF THE SYSTEM. IN THIS WORK THE FOREGOING RESULTS HAVE BEEN EXTENDED TO A MORE GENERAL CLASS OF PROCESSES, NAMELY THOSE REPRESENTING FUNCTIONS WHOSE CHANGES CAN BE ASSUMED TO BE A SECOND ORDER PROCESS. ASISWELL, KNOWN SUCH PROCESSES DETERMINE A MEASURE IN GENERAL, SINGULAR. UNDER THE ASSUMPTION THAT THE GREEN´S FUNCTION OF THE SYSTEM IS INTEGRABLE WITH RESPECT TO THIS MEASURE IN THE STIELTJES SENSE, A WINDOW DISTRIBUTION CAN BE FOUND PROVIDING AN OPTIMUN FILTERING. A DIFFICULTY ARISES IN CASE THE MEASURE PRODUCES IMPULSES, SINCE THEN THE ASSUMPTION THAT THE CORRELATION FUNCTIONS ARE OF SLOW VARIATION WITH RESPECT TO THE KERNEL CANNOT OBVIOUSLY BE MAINTAINED. HOWEBER, CONSIDERING TAHT SUCH PROCESSES ARE MATHEMATICAL IDEALIZATIONS THAT ONE COULD NOT EXPECT TO APPEAR AS SUCH IN ACTUAL EXPERIENCE, A SIMPLE METHOD WHEREBY THE ABOVE MENTIONED DIFFICULTY CAN BE CIRCUMVECTED IS PROPOSED. THE RESULT IS THAT AS LONG AS IT IS POSSIBLE TO REALIZE WINDOWS WHOSE APERTURE CAN BE CONSIDERED AS SMALL RELATIVE TO THE CORRELATION RANGE OF THE ACTUAL PHYSYCAL PROCESS, SUCH WINDOWS SHOULD OPERATE SUCCESSFULLY.