Complete Sequence of Exponential Functions on a Complex Domain and the Sampling Theorem for Bandlimited Distributions with General Sampling Points
Summary :
A sampling theorem valid for all band-limited distributions with most generally arranged sampling points is presented. Any bandlimited signal, whose complex frequency band has a horizontal width less than 4πb, can be reconstructed from the values of the signal and its derivatives on the sampling points in the negative time axis, as long as the average density of the points exceeds the Nyquist rate 2b.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E68-E No.8 pp.510-511
- Publication Date
- 1985/08/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- LETTER
- Category
- Communication Theory
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Hirosi SUGIYAMA, "Complete Sequence of Exponential Functions on a Complex Domain and the Sampling Theorem for Bandlimited Distributions with General Sampling Points" in IEICE TRANSACTIONS on transactions,
vol. E68-E, no. 8, pp. 510-511, August 1985, doi: .
Abstract: A sampling theorem valid for all band-limited distributions with most generally arranged sampling points is presented. Any bandlimited signal, whose complex frequency band has a horizontal width less than 4πb, can be reconstructed from the values of the signal and its derivatives on the sampling points in the negative time axis, as long as the average density of the points exceeds the Nyquist rate 2b.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e68-e_8_510/_p
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@ARTICLE{e68-e_8_510,
author={Hirosi SUGIYAMA, },
journal={IEICE TRANSACTIONS on transactions},
title={Complete Sequence of Exponential Functions on a Complex Domain and the Sampling Theorem for Bandlimited Distributions with General Sampling Points},
year={1985},
volume={E68-E},
number={8},
pages={510-511},
abstract={A sampling theorem valid for all band-limited distributions with most generally arranged sampling points is presented. Any bandlimited signal, whose complex frequency band has a horizontal width less than 4πb, can be reconstructed from the values of the signal and its derivatives on the sampling points in the negative time axis, as long as the average density of the points exceeds the Nyquist rate 2b.},
keywords={},
doi={},
ISSN={},
month={August},}
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TY - JOUR
TI - Complete Sequence of Exponential Functions on a Complex Domain and the Sampling Theorem for Bandlimited Distributions with General Sampling Points
T2 - IEICE TRANSACTIONS on transactions
SP - 510
EP - 511
AU - Hirosi SUGIYAMA
PY - 1985
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E68-E
IS - 8
JA - IEICE TRANSACTIONS on transactions
Y1 - August 1985
AB - A sampling theorem valid for all band-limited distributions with most generally arranged sampling points is presented. Any bandlimited signal, whose complex frequency band has a horizontal width less than 4πb, can be reconstructed from the values of the signal and its derivatives on the sampling points in the negative time axis, as long as the average density of the points exceeds the Nyquist rate 2b.
ER -
English
