Title :
Nonuniform sampling of bandlimited signals with polynomial growth on the real axis
Author :
Zayed, Ahmed I. ; García, Antonio G.
Author_Institution :
Dept. of Math., Univ. of Central Florida, Orlando, FL, USA
fDate :
9/1/1997 12:00:00 AM
Abstract :
We derive a sampling expansion for bandlimited signals with polynomial growth on the real axis. The sampling expansion uses nonuniformly spaced sampling points. But unlike other known sampling expansions for such signals, ours converge uniformly to the signal on any compact set. An estimate of the truncation error of such a series is also obtained
Keywords :
error analysis; polynomials; signal sampling; bandlimited signal; nonuniformly spaced sampling points; polynomial growth; real axis; sampling expansion; truncation error; Finite wordlength effects; Mathematics; Nonuniform sampling; Polynomials; Sampling methods; Signal processing;
Journal_Title :
Information Theory, IEEE Transactions on