The aim of this paper is to study the so-called exponential sampling theorem of optical physisc in which the samples are not equally spaced apart, but exponentially spaced, using the Mellin transform methods. One chief aim is to study the reproducing kernel formula in Mellin setting for Mellin-bandlimited functions as well as an approximate version for a less restrictive class of functions. We study also the strict connections between the reproducing formula and the exponential sampling theorem
The exponential sampling theorem of signal analysis and the reproducing kernel formula in the Mellin transform setting
BARDARO, Carlo;MANTELLINI, Ilaria
2014
Abstract
The aim of this paper is to study the so-called exponential sampling theorem of optical physisc in which the samples are not equally spaced apart, but exponentially spaced, using the Mellin transform methods. One chief aim is to study the reproducing kernel formula in Mellin setting for Mellin-bandlimited functions as well as an approximate version for a less restrictive class of functions. We study also the strict connections between the reproducing formula and the exponential sampling theoremFile in questo prodotto:
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