Nonuniform sampling of bandlimited functions

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초록

In this correspondence, we show that a function in the Bernstein class BP (1 <= p <= infinity) can be reconstructed in the Lagrange interpolation form with sampling points {t(n)} satisfying vertical bar t(n) - n vertical bar <= d and [4d] additional points, where d is any nonnegative real number that is not necessarily less than 1/4. Here, [x] denotes the integer part of x.

키워드

bandlimited functionKadec's constant 1/4Lagrange interpolationnonuniform sampling series expansionuniform convergenceTHEOREM
제목
Nonuniform sampling of bandlimited functions
저자
Shin, Chang EonLee, Mun BaeRim, Kyung Soo
DOI
10.1109/TIT.2008.926458
발행일
2008-08
유형
Article
저널명
IEEE Transactions on Information Theory
54
8
페이지
3814 ~ 3819