Linear canonical ambiguity function and linear canonical transform moments

Hui Zhao; Qi Wen Ran; Jing Ma; Li Ying Tan

doi:10.1016/j.ijleo.2010.04.006

Linear canonical ambiguity function and linear canonical transform moments

Hui Zhao^*
, Qi Wen Ran
, Jing Ma
, Li Ying Tan

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

A new phase-space distribution, linear canonical ambiguity function (LCAF), is proposed based on the linear canonical transform (LCT). The properties and physical meaning of the LCAF are given. The LCT moments are introduced and the relationships between the LCAF and the LCT moments are also derived. As an application, simple expressions for the center of gravity of the LCT power spectra and the effective width of the first-order optical system diffracted beam are derived. Compared with the conventional ambiguity function, the LCAF has three additional freedoms, i.e., the parameters characterizing a LCT, which make the LCAF more attractive for the analysis of optical signals.

Original language	English
Pages (from-to)	540-543
Number of pages	4
Journal	Optik
Volume	122
Issue number	6
DOIs	https://doi.org/10.1016/j.ijleo.2010.04.006
State	Published - Mar 2011

Keywords

Ambiguity function
Linear canonical transform
Moments

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10.1016/j.ijleo.2010.04.006

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@article{978136da3ac949888894282d61c80254,

title = "Linear canonical ambiguity function and linear canonical transform moments",

abstract = "A new phase-space distribution, linear canonical ambiguity function (LCAF), is proposed based on the linear canonical transform (LCT). The properties and physical meaning of the LCAF are given. The LCT moments are introduced and the relationships between the LCAF and the LCT moments are also derived. As an application, simple expressions for the center of gravity of the LCT power spectra and the effective width of the first-order optical system diffracted beam are derived. Compared with the conventional ambiguity function, the LCAF has three additional freedoms, i.e., the parameters characterizing a LCT, which make the LCAF more attractive for the analysis of optical signals.",

keywords = "Ambiguity function, Linear canonical transform, Moments",

author = "Hui Zhao and Ran, \{Qi Wen\} and Jing Ma and Tan, \{Li Ying\}",

year = "2011",

month = mar,

doi = "10.1016/j.ijleo.2010.04.006",

language = "英语",

volume = "122",

pages = "540--543",

journal = "Optik",

issn = "0030-4026",

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TY - JOUR

T1 - Linear canonical ambiguity function and linear canonical transform moments

AU - Zhao, Hui

AU - Ran, Qi Wen

AU - Ma, Jing

AU - Tan, Li Ying

PY - 2011/3

Y1 - 2011/3

N2 - A new phase-space distribution, linear canonical ambiguity function (LCAF), is proposed based on the linear canonical transform (LCT). The properties and physical meaning of the LCAF are given. The LCT moments are introduced and the relationships between the LCAF and the LCT moments are also derived. As an application, simple expressions for the center of gravity of the LCT power spectra and the effective width of the first-order optical system diffracted beam are derived. Compared with the conventional ambiguity function, the LCAF has three additional freedoms, i.e., the parameters characterizing a LCT, which make the LCAF more attractive for the analysis of optical signals.

AB - A new phase-space distribution, linear canonical ambiguity function (LCAF), is proposed based on the linear canonical transform (LCT). The properties and physical meaning of the LCAF are given. The LCT moments are introduced and the relationships between the LCAF and the LCT moments are also derived. As an application, simple expressions for the center of gravity of the LCT power spectra and the effective width of the first-order optical system diffracted beam are derived. Compared with the conventional ambiguity function, the LCAF has three additional freedoms, i.e., the parameters characterizing a LCT, which make the LCAF more attractive for the analysis of optical signals.

KW - Ambiguity function

KW - Linear canonical transform

KW - Moments

UR - https://www.scopus.com/pages/publications/79551526791

U2 - 10.1016/j.ijleo.2010.04.006

DO - 10.1016/j.ijleo.2010.04.006

M3 - 文章

AN - SCOPUS:79551526791

SN - 0030-4026

VL - 122

SP - 540

EP - 543

JO - Optik

JF - Optik

IS - 6

ER -

Linear canonical ambiguity function and linear canonical transform moments

Abstract

Keywords

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