2014
DOI: 10.1049/iet-spr.2013.0240
|View full text |Cite
|
Sign up to set email alerts
|

Reconstruction of multidimensional bandlimited signals from multichannel samples in linear canonical transform domain

Abstract: The linear canonical transform (LCT) has been shown to be a powerful tool for optics and signal processing. In this study, the authors address the problem of signal reconstruction from the multidimensional multichannel samples in the LCT domain. Firstly, they pose and solve the problem of expressing the kernel of the multidimensional LCT in the elementary functions. Then, they propose the multidimensional multichannel sampling (MMS) for the bandlimited signal in the LCT domain based on a basis expansion of an … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
4

Citation Types

0
33
0

Year Published

2014
2014
2024
2024

Publication Types

Select...
8

Relationship

1
7

Authors

Journals

citations
Cited by 57 publications
(33 citation statements)
references
References 60 publications
0
33
0
Order By: Relevance
“…Simultaneously, as the generalization of FT, the relevant theory of SAFT has been developed including the convolution theorem, uncertainty principle, sampling theory and so on [16][17][18], which are generalizations of the corresponding properties of the FT, FRFT and LCT [3,9,[19][20][21][22][23][24][25][26][27][28]. Conventional convolution operations for FT are fundamental in the theory of linear timeinvariant (LTI) system [9].…”
Section: Introductionmentioning
confidence: 99%
“…Simultaneously, as the generalization of FT, the relevant theory of SAFT has been developed including the convolution theorem, uncertainty principle, sampling theory and so on [16][17][18], which are generalizations of the corresponding properties of the FT, FRFT and LCT [3,9,[19][20][21][22][23][24][25][26][27][28]. Conventional convolution operations for FT are fundamental in the theory of linear timeinvariant (LTI) system [9].…”
Section: Introductionmentioning
confidence: 99%
“…Grouplets provide stable geometrical image representation using an orthogonal weighted Haar lifting, where a multi-scale association field is used. Both bases and tight frames have been proposed and tested on several image processing examples such as denoising and super-resolution [20,21].…”
Section: Introductionmentioning
confidence: 99%
“…The offset linear canonical transform (OLCT) is known as a six parameter ( a , b , c , d , τ , η ) class of linear integral transform, which is a time‐shifted and frequency‐modulated version of the linear canonical transform (LCT) with four parameters ( a , b , c , d ) . The two extra parameters, ie, time shifting τ and frequency modulation η , make the OLCT more general and flexible, and thereby the OLCT can apply to most electrical and optical signal systems.…”
Section: Introductionmentioning
confidence: 99%
“…The offset linear canonical transform (OLCT) [1][2][3][4] is known as a six parameter (a, b, c, d, , ) class of linear integral transform, which is a time-shifted and frequency-modulated version of the linear canonical transform (LCT) with four parameters (a, b, c, d). [5][6][7][8][9][10][11] The two extra parameters, ie, time shifting and frequency modulation , make the OLCT more general and flexible, and thereby the OLCT can apply to most electrical and optical signal systems. It basically says that the Fourier transform (FT), the fractional Fourier transform (FrFT), the Fresnel transform (FnT), the LCT, and many other widely used linear integral transforms in signal processing and optics are all special cases of the OLCT.…”
Section: Introductionmentioning
confidence: 99%