A sampling theorem associated with quasi-Fourier transform

A sampling theorem associated with quasi-Fourier transform
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与准傅立叶变换相关的采样定理

DOI:
10.1109/78.824688
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发表时间:
2000-03
影响因子:
5.4
通讯作者:
吴乐南
吴乐南
中科院分区:
工程技术1区
文献类型:
--
作者:
王桥;吴乐南

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本文提出了与拟傅里叶变换相关的统一广义带限采样定理,其形式为(F/sub /spl phi// F)(/spl xi/)=/spl int//sub D/ F (x) exp(-i/spl epsiv//spl phi/(x)) dx,其中相函数在其域中满足/spl phi/'(x)>0。我们的结果包含经典的Shannon抽样定理和Sundaram et al.(1997)的尺度有限抽样定理作为特例。可以建立新的结果,如啁啾限制采样定理。
We propose, in this correspondence, a unified generalized bandlimited sampling theorem associated with quasi-Fourier transform of the form (F/sub /spl phi//f)(/spl xi/)=/spl int//sub D/f(x) exp(-i/spl epsiv//spl phi/(x)) dx, where the phase function satisfies /spl phi/'(x)>0 in its domain. Our result contains classical Shannon's sampling theorem and the Sundaram et al. (1997) scale-limited sampling theorem as a special case. New results such as the chirp-limited sampling theorem can be established.
DOI: 10.1109/78.258073
发表时间: 1993-12-01
影响因子: 5.4
作者:
COHEN, L
通讯作者: COHEN, L
DOI: 10.1109/78.599961
发表时间: 1997-07
期刊: IEEE Trans. Signal Process.
影响因子: --
作者:
H. Sundaram;S. Joshi;R. Bhatt
通讯作者: H. Sundaram;S. Joshi;R. Bhatt