Computer Engineering Commons^™

F-Transform Enhancement Of The Sampling Theorem And Reconstruction Of Noisy Signals, Michal Holčapek, Irina Perfilieva, Vladik Kreinovich

Departmental Technical Reports (CS)

According to a sampling theorem, any band-limited and continuous signal can be uniquely reconstructed from certain of its values. We show that a reconstruction can be obtained from the set of F-transform components and moreover, the sampling theorem follows as a particular case. A special attention is paid to the case where sample values of a signal come with noise. We show that in the presence of noise, a more accurate reconstruction than that based on the sampling theorem can be obtained, if instead of noised sample values the F- transform components of the signal with respect to a generalized …