Sampling Expansion of Bandlimited Functions of Polynomial Growth on the Real Line
نویسندگان
چکیده
For a bandlimited function with polynomial growth on the real line, we derive a nonuniform sampling expansion using a special bandlimited function which has polynomial decay on the real line. The series converges uniformly on any compact subsets of the real line.
منابع مشابه
Nonuniform sampling of bandlimited signals with polynomial growth on the real axis
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.
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