The fractional fourier analysis of multicomponent chirp signals with unknown parameters

Yongqiang Dong; Ran Tao; Siyong Zhou; Yue Wang

The fractional fourier analysis of multicomponent chirp signals with unknown parameters

Yongqiang Dong^*, Ran Tao, Siyong Zhou, Yue Wang

^*Corresponding author for this work

Beijing Institute of Technology

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

6 Citations (Scopus)

Abstract

Aim To propose a new approach to the detection and estimation for multicomponent chirp signals with unknown parameter using the fractional Fourier transform (FRFT). Methods The new method was investigated and simulated, based on the property of Chirp basis decomposition of FRFT and its relationship with the Wigner-Ville distribution(WVD). Results and Conclusion Compared with the WVD-HT method, the new FRFT based approach need not consider the cross-term interference in the case of multicomponent signals, therefore the WVD interpolation from the cartesian coordinates to the polar coordinates and the two dimensional sweeping procedure of the Hough transform can be omitted.

Original language	English
Pages (from-to)	612-616
Number of pages	5
Journal	Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
Volume	19
Issue number	5
Publication status	Published - 1999

Keywords

Fractional Fourier transform
Parameter estimation
Time frequency analysis

Cite this

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title = "The fractional fourier analysis of multicomponent chirp signals with unknown parameters",

abstract = "Aim To propose a new approach to the detection and estimation for multicomponent chirp signals with unknown parameter using the fractional Fourier transform (FRFT). Methods The new method was investigated and simulated, based on the property of Chirp basis decomposition of FRFT and its relationship with the Wigner-Ville distribution(WVD). Results and Conclusion Compared with the WVD-HT method, the new FRFT based approach need not consider the cross-term interference in the case of multicomponent signals, therefore the WVD interpolation from the cartesian coordinates to the polar coordinates and the two dimensional sweeping procedure of the Hough transform can be omitted.",

keywords = "Fractional Fourier transform, Parameter estimation, Time frequency analysis",

author = "Yongqiang Dong and Ran Tao and Siyong Zhou and Yue Wang",

year = "1999",

language = "English",

volume = "19",

pages = "612--616",

journal = "Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology",

issn = "1001-0645",

publisher = "Beijing Institute of Technology",

number = "5",

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TY - JOUR

T1 - The fractional fourier analysis of multicomponent chirp signals with unknown parameters

AU - Dong, Yongqiang

AU - Tao, Ran

AU - Zhou, Siyong

AU - Wang, Yue

PY - 1999

Y1 - 1999

N2 - Aim To propose a new approach to the detection and estimation for multicomponent chirp signals with unknown parameter using the fractional Fourier transform (FRFT). Methods The new method was investigated and simulated, based on the property of Chirp basis decomposition of FRFT and its relationship with the Wigner-Ville distribution(WVD). Results and Conclusion Compared with the WVD-HT method, the new FRFT based approach need not consider the cross-term interference in the case of multicomponent signals, therefore the WVD interpolation from the cartesian coordinates to the polar coordinates and the two dimensional sweeping procedure of the Hough transform can be omitted.

AB - Aim To propose a new approach to the detection and estimation for multicomponent chirp signals with unknown parameter using the fractional Fourier transform (FRFT). Methods The new method was investigated and simulated, based on the property of Chirp basis decomposition of FRFT and its relationship with the Wigner-Ville distribution(WVD). Results and Conclusion Compared with the WVD-HT method, the new FRFT based approach need not consider the cross-term interference in the case of multicomponent signals, therefore the WVD interpolation from the cartesian coordinates to the polar coordinates and the two dimensional sweeping procedure of the Hough transform can be omitted.

KW - Fractional Fourier transform

KW - Parameter estimation

KW - Time frequency analysis

UR - http://www.scopus.com/inward/record.url?scp=33646737717&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33646737717

SN - 1001-0645

VL - 19

SP - 612

EP - 616

JO - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

JF - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

IS - 5

ER -

The fractional fourier analysis of multicomponent chirp signals with unknown parameters

Abstract

Keywords

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