The spectrogram associated with the linear canonical transform

Zhi Chun Zhao; Bing Zhao Li

doi:10.1109/MEC.2013.6885256

The spectrogram associated with the linear canonical transform

Zhi Chun Zhao, Bing Zhao Li^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

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

Abstract

Linear canonical transform is a generalized form of Fourier Transform, and it has big effect in modern applied mathematics and signal processing community, especially in detection and parameter estimation of non-stationary signal. We investigate the spectrogram associated with the linear canonical transform in this paper, a novel definition of spectrogram is proposed and the basic properties are deduced accordingly. Finally, the simulations are also given to test the conclusions which we have obtained.

Original language	English
Title of host publication	Proceedings - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1242-1245
Number of pages	4
ISBN (Electronic)	9781479925650
DOIs	https://doi.org/10.1109/MEC.2013.6885256
Publication status	Published - 2013
Event	2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013 - Shenyang, China Duration: 20 Dec 2013 → 22 Dec 2013

Publication series

Name	Proceedings - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013

Conference

Conference	2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013
Country/Territory	China
City	Shenyang
Period	20/12/13 → 22/12/13

Keywords

Linear canonical transform
Linear frequency modulation signal(LFM)
Parameter estimation
Spectrogram

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10.1109/MEC.2013.6885256

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Zhao, Z. C., & Li, B. Z. (2013). The spectrogram associated with the linear canonical transform. In Proceedings - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013 (pp. 1242-1245). Article 6885256 (Proceedings - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MEC.2013.6885256

Zhao, Zhi Chun ; Li, Bing Zhao. / The spectrogram associated with the linear canonical transform. Proceedings - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. pp. 1242-1245 (Proceedings - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013).

@inproceedings{edd416ac519646e4a0e92c97101e0749,

title = "The spectrogram associated with the linear canonical transform",

abstract = "Linear canonical transform is a generalized form of Fourier Transform, and it has big effect in modern applied mathematics and signal processing community, especially in detection and parameter estimation of non-stationary signal. We investigate the spectrogram associated with the linear canonical transform in this paper, a novel definition of spectrogram is proposed and the basic properties are deduced accordingly. Finally, the simulations are also given to test the conclusions which we have obtained.",

keywords = "Linear canonical transform, Linear frequency modulation signal(LFM), Parameter estimation, Spectrogram",

author = "Zhao, {Zhi Chun} and Li, {Bing Zhao}",

note = "Publisher Copyright: {\textcopyright} 2013 IEEE.; 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013 ; Conference date: 20-12-2013 Through 22-12-2013",

year = "2013",

doi = "10.1109/MEC.2013.6885256",

language = "English",

series = "Proceedings - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013",

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

pages = "1242--1245",

booktitle = "Proceedings - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013",

address = "United States",

}

Zhao, ZC & Li, BZ 2013, The spectrogram associated with the linear canonical transform. in Proceedings - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013., 6885256, Proceedings - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013, Institute of Electrical and Electronics Engineers Inc., pp. 1242-1245, 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013, Shenyang, China, 20/12/13. https://doi.org/10.1109/MEC.2013.6885256

The spectrogram associated with the linear canonical transform. / Zhao, Zhi Chun; Li, Bing Zhao.
Proceedings - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. p. 1242-1245 6885256 (Proceedings - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013).

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

TY - GEN

T1 - The spectrogram associated with the linear canonical transform

AU - Zhao, Zhi Chun

AU - Li, Bing Zhao

PY - 2013

Y1 - 2013

N2 - Linear canonical transform is a generalized form of Fourier Transform, and it has big effect in modern applied mathematics and signal processing community, especially in detection and parameter estimation of non-stationary signal. We investigate the spectrogram associated with the linear canonical transform in this paper, a novel definition of spectrogram is proposed and the basic properties are deduced accordingly. Finally, the simulations are also given to test the conclusions which we have obtained.

AB - Linear canonical transform is a generalized form of Fourier Transform, and it has big effect in modern applied mathematics and signal processing community, especially in detection and parameter estimation of non-stationary signal. We investigate the spectrogram associated with the linear canonical transform in this paper, a novel definition of spectrogram is proposed and the basic properties are deduced accordingly. Finally, the simulations are also given to test the conclusions which we have obtained.

KW - Linear canonical transform

KW - Linear frequency modulation signal(LFM)

KW - Parameter estimation

KW - Spectrogram

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U2 - 10.1109/MEC.2013.6885256

DO - 10.1109/MEC.2013.6885256

M3 - Conference contribution

AN - SCOPUS:84918560230

T3 - Proceedings - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013

SP - 1242

EP - 1245

BT - Proceedings - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013

Y2 - 20 December 2013 through 22 December 2013

ER -

Zhao ZC, Li BZ. The spectrogram associated with the linear canonical transform. In Proceedings - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013. Institute of Electrical and Electronics Engineers Inc. 2013. p. 1242-1245. 6885256. (Proceedings - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013). doi: 10.1109/MEC.2013.6885256

The spectrogram associated with the linear canonical transform

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