Title :
The new modified kernels and weight functions in the generalized Kravchenko-Kotelnikov sampling theorem
Author :
Kravchenko, V.F. ; Churikov, Dmitry V.
Author_Institution :
Kotel´nikov Inst. of Radio Eng. & Electron., Moscow, Russia
Abstract :
The report consists of two parts. In the first part the new designs of kernels of the generalized sampling series are proposed. This approach ensures high interpolation properties and good time-and-frequency localization. In the second part the weight functions for improvement of convergence of the generalized sampling series are suggested.
Keywords :
convergence; interpolation; signal sampling; generalized Kravchenko-Kotelnikov sampling theorem; generalized sampling series; high interpolation properties; modified kernels; time-and-frequency localization; weight functions; Correlation; Diffraction; Frequency modulation; Image reconstruction; Image restoration; Kernel;
Conference_Titel :
Days on Diffraction (DD), 2013
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-1037-3
DOI :
10.1109/DD.2013.6712810