Theory and methods for sampling in fractional domains

Ran Tao; Hongxia Miao; Jinming Ma

doi:10.1109/ICSPCC.2016.7753739

Theory and methods for sampling in fractional domains

Ran Tao, Hongxia Miao, Jinming Ma

School of Information and Electronics

Beijing Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Citations (Scopus)

Abstract

The fractional Fourier transform (FRFT) and linear canonical transform (LCT) have been shown to be one of powerful tools in signal processing community. While sampling is a fundamental and core topic in the field of signal processing. The research of sampling theory and methods in FRFT and LCT domains received much interests in recent years. In this paper, we review the developments and research trends of sampling theories and methods associate with FRFT and LCT.

Original language	English
Title of host publication	ICSPCC 2016 - IEEE International Conference on Signal Processing, Communications and Computing, Conference Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781509027088
DOIs	https://doi.org/10.1109/ICSPCC.2016.7753739
Publication status	Published - 22 Nov 2016
Event	2016 IEEE International Conference on Signal Processing, Communications and Computing, ICSPCC 2016 - Hong Kong, China Duration: 5 Aug 2016 → 8 Aug 2016

Publication series

Name	ICSPCC 2016 - IEEE International Conference on Signal Processing, Communications and Computing, Conference Proceedings

Conference

Conference	2016 IEEE International Conference on Signal Processing, Communications and Computing, ICSPCC 2016
Country/Territory	China
City	Hong Kong
Period	5/08/16 → 8/08/16

Keywords

Fractional Fourier transform domain
linear canonical transform domain
nonuniform sampling
random signals
sampling rate conversion
uniform sampling

Access to Document

10.1109/ICSPCC.2016.7753739

Cite this

Tao, R., Miao, H., & Ma, J. (2016). Theory and methods for sampling in fractional domains. In ICSPCC 2016 - IEEE International Conference on Signal Processing, Communications and Computing, Conference Proceedings Article 7753739 (ICSPCC 2016 - IEEE International Conference on Signal Processing, Communications and Computing, Conference Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICSPCC.2016.7753739

Tao, Ran ; Miao, Hongxia ; Ma, Jinming. / Theory and methods for sampling in fractional domains. ICSPCC 2016 - IEEE International Conference on Signal Processing, Communications and Computing, Conference Proceedings. Institute of Electrical and Electronics Engineers Inc., 2016. (ICSPCC 2016 - IEEE International Conference on Signal Processing, Communications and Computing, Conference Proceedings).

@inproceedings{7cbd4b86e665423c92ff5472c9e8d70d,

title = "Theory and methods for sampling in fractional domains",

abstract = "The fractional Fourier transform (FRFT) and linear canonical transform (LCT) have been shown to be one of powerful tools in signal processing community. While sampling is a fundamental and core topic in the field of signal processing. The research of sampling theory and methods in FRFT and LCT domains received much interests in recent years. In this paper, we review the developments and research trends of sampling theories and methods associate with FRFT and LCT.",

keywords = "Fractional Fourier transform domain, linear canonical transform domain, nonuniform sampling, random signals, sampling rate conversion, uniform sampling",

author = "Ran Tao and Hongxia Miao and Jinming Ma",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 2016 IEEE International Conference on Signal Processing, Communications and Computing, ICSPCC 2016 ; Conference date: 05-08-2016 Through 08-08-2016",

year = "2016",

month = nov,

day = "22",

doi = "10.1109/ICSPCC.2016.7753739",

language = "English",

series = "ICSPCC 2016 - IEEE International Conference on Signal Processing, Communications and Computing, Conference Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "ICSPCC 2016 - IEEE International Conference on Signal Processing, Communications and Computing, Conference Proceedings",

address = "United States",

}

Tao, R, Miao, H & Ma, J 2016, Theory and methods for sampling in fractional domains. in ICSPCC 2016 - IEEE International Conference on Signal Processing, Communications and Computing, Conference Proceedings., 7753739, ICSPCC 2016 - IEEE International Conference on Signal Processing, Communications and Computing, Conference Proceedings, Institute of Electrical and Electronics Engineers Inc., 2016 IEEE International Conference on Signal Processing, Communications and Computing, ICSPCC 2016, Hong Kong, China, 5/08/16. https://doi.org/10.1109/ICSPCC.2016.7753739

Theory and methods for sampling in fractional domains. / Tao, Ran; Miao, Hongxia; Ma, Jinming.
ICSPCC 2016 - IEEE International Conference on Signal Processing, Communications and Computing, Conference Proceedings. Institute of Electrical and Electronics Engineers Inc., 2016. 7753739 (ICSPCC 2016 - IEEE International Conference on Signal Processing, Communications and Computing, Conference Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Theory and methods for sampling in fractional domains

AU - Tao, Ran

AU - Miao, Hongxia

AU - Ma, Jinming

PY - 2016/11/22

Y1 - 2016/11/22

N2 - The fractional Fourier transform (FRFT) and linear canonical transform (LCT) have been shown to be one of powerful tools in signal processing community. While sampling is a fundamental and core topic in the field of signal processing. The research of sampling theory and methods in FRFT and LCT domains received much interests in recent years. In this paper, we review the developments and research trends of sampling theories and methods associate with FRFT and LCT.

AB - The fractional Fourier transform (FRFT) and linear canonical transform (LCT) have been shown to be one of powerful tools in signal processing community. While sampling is a fundamental and core topic in the field of signal processing. The research of sampling theory and methods in FRFT and LCT domains received much interests in recent years. In this paper, we review the developments and research trends of sampling theories and methods associate with FRFT and LCT.

KW - Fractional Fourier transform domain

KW - linear canonical transform domain

KW - nonuniform sampling

KW - random signals

KW - sampling rate conversion

KW - uniform sampling

UR - http://www.scopus.com/inward/record.url?scp=85006952995&partnerID=8YFLogxK

U2 - 10.1109/ICSPCC.2016.7753739

DO - 10.1109/ICSPCC.2016.7753739

M3 - Conference contribution

AN - SCOPUS:85006952995

T3 - ICSPCC 2016 - IEEE International Conference on Signal Processing, Communications and Computing, Conference Proceedings

BT - ICSPCC 2016 - IEEE International Conference on Signal Processing, Communications and Computing, Conference Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2016 IEEE International Conference on Signal Processing, Communications and Computing, ICSPCC 2016

Y2 - 5 August 2016 through 8 August 2016

ER -

Tao R, Miao H, Ma J. Theory and methods for sampling in fractional domains. In ICSPCC 2016 - IEEE International Conference on Signal Processing, Communications and Computing, Conference Proceedings. Institute of Electrical and Electronics Engineers Inc. 2016. 7753739. (ICSPCC 2016 - IEEE International Conference on Signal Processing, Communications and Computing, Conference Proceedings). doi: 10.1109/ICSPCC.2016.7753739

Theory and methods for sampling in fractional domains

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this