Title of article :
Time shifted aliasing error upper bounds for truncated
sampling cardinal series
Author/Authors :
Andrew Ya. Olenko، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2006
Abstract :
Time shifted aliasing error upper bound extremals for the sampling reconstruction procedure are fully
characterized. Sharp upper bounds are found on the aliasing error of truncated cardinal series and the corresponding
extremals are described for entire functions from certain specific Lp, p >1, classes. Analogous
results are obtained in multidimensional regular sampling. Truncation error analysis is provided in all cases
considered. Moreover, sharpness of bounding inequalities, convergence rates and various sufficient conditions
are discussed.
© 2005 Elsevier Inc. All rights reserved
Keywords :
Extremal function , Fourier transform , Plancherel–P?lyainequality , entire functions , Truncation error , Sharp bound , upper bound , Whittaker–Kotel’nikov–Shannon sampling formula , Aliasing , Approximation/interpolation error level , asymptotic behaviour , Dirichlet Lambda function , Incomplete Lambda function , Regular sampling theorem , Multidimensional sampling
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
