Title :
Bounds on the aliasing error in multidimensional Shannon sampling
Author_Institution :
Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA
fDate :
11/1/1996 12:00:00 AM
Abstract :
We present a pair of sharp lower and upper bounds on the 2-norm of the aliasing error in general multiband sampling representations for not necessarily bandlimited multidimensional functions. These bounds improve and generalize previous bounds. They also complement a uniform upper bound due to Higgins (1985)
Keywords :
antialiasing; error analysis; information theory; signal representation; signal sampling; 2-norm; aliasing error; general multiband sampling representations; lower bound; multidimensional Shannon sampling; not necessarily bandlimited multidimensional functions; upper bounds; Computer errors; Fourier transforms; Information theory; Lattices; Multidimensional systems; Passband; Reliability theory; Sampling methods; Upper bound; Viterbi algorithm;
Journal_Title :
Information Theory, IEEE Transactions on
