Spectral Analysis of Irregular Samples of Multidimensional Signals
Summary :
The spectrum of irregular samples of a two-dimensional (2-D) signal is derived using nonharmonic Fourier series expansion. The assumption on the set of irregular samples is general except that this set should not deviate from a set of uniform samples by more than a finite amount. The spectral analysis suggests a simple method to reconstruct a 2-D signal from nonuniform samples. The accuracy of the recovery technique increases when the nonuniform samples do not deviate drastically from the uniform sampling set (less than T/π-where T is the Nyquist interval). The same analysis can be extended to n-dimensional signals.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E77-A No.2 pp.403-408
- Publication Date
- 1994/02/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Digital Image Processing
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Farokh A.MARVASTI, Chuande LIU, Gil ADAMS, "Spectral Analysis of Irregular Samples of Multidimensional Signals" in IEICE TRANSACTIONS on Fundamentals,
vol. E77-A, no. 2, pp. 403-408, February 1994, doi: .
Abstract: The spectrum of irregular samples of a two-dimensional (2-D) signal is derived using nonharmonic Fourier series expansion. The assumption on the set of irregular samples is general except that this set should not deviate from a set of uniform samples by more than a finite amount. The spectral analysis suggests a simple method to reconstruct a 2-D signal from nonuniform samples. The accuracy of the recovery technique increases when the nonuniform samples do not deviate drastically from the uniform sampling set (less than T/π-where T is the Nyquist interval). The same analysis can be extended to n-dimensional signals.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e77-a_2_403/_p
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@ARTICLE{e77-a_2_403,
author={Farokh A.MARVASTI, Chuande LIU, Gil ADAMS, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Spectral Analysis of Irregular Samples of Multidimensional Signals},
year={1994},
volume={E77-A},
number={2},
pages={403-408},
abstract={The spectrum of irregular samples of a two-dimensional (2-D) signal is derived using nonharmonic Fourier series expansion. The assumption on the set of irregular samples is general except that this set should not deviate from a set of uniform samples by more than a finite amount. The spectral analysis suggests a simple method to reconstruct a 2-D signal from nonuniform samples. The accuracy of the recovery technique increases when the nonuniform samples do not deviate drastically from the uniform sampling set (less than T/π-where T is the Nyquist interval). The same analysis can be extended to n-dimensional signals.},
keywords={},
doi={},
ISSN={},
month={February},}
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TY - JOUR
TI - Spectral Analysis of Irregular Samples of Multidimensional Signals
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 403
EP - 408
AU - Farokh A.MARVASTI
AU - Chuande LIU
AU - Gil ADAMS
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E77-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 1994
AB - The spectrum of irregular samples of a two-dimensional (2-D) signal is derived using nonharmonic Fourier series expansion. The assumption on the set of irregular samples is general except that this set should not deviate from a set of uniform samples by more than a finite amount. The spectral analysis suggests a simple method to reconstruct a 2-D signal from nonuniform samples. The accuracy of the recovery technique increases when the nonuniform samples do not deviate drastically from the uniform sampling set (less than T/π-where T is the Nyquist interval). The same analysis can be extended to n-dimensional signals.
ER -
English
