Wigner distribution and fractional Fourier transform

T. Alieva; M.J. Bastiaans

doi:10.1109/ISSPA.2001.949803

Wigner distribution and fractional Fourier transform

T. Alieva
, M.J. Bastiaans

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

18 Citaten (Scopus)

8 Downloads (Pure)

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The connection between the Wigner distribution and the squared modulus of the fractional Fourier transform - which are both well-known time-frequency representations of a signal - is established. In particular the Radon-Wigner transform is used, which relates projections of the Wigner distribution to the squared modulus of the fractional Fourier transform. Moments of the Wigner distribution are then expressed in terms of moments of the fractional Fourier transform. Relations for the fractional Fourier transform moments are derived, and some new procedures are presented with the help of which Wigner distribution moments can be determined by using the fractional Fourier transform.

Originele taal-2	Engels
Titel	Proc. ISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications, Kuala Lumpur, Malaysia
Plaats van productie	Piscataway
Uitgeverij	Institute of Electrical and Electronics Engineers
Pagina's	168-169
ISBN van geprinte versie	0-7803-6704-9
DOI's	https://doi.org/10.1109/ISSPA.2001.949803
Status	Gepubliceerd - 2001
Evenement	conference; ISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications, Kuala-Lumpur, Malaysia; 2001-08-13; 2001-08-16 - Duur: 13 aug 2001 → 16 aug 2001

Congres

Congres	conference; ISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications, Kuala-Lumpur, Malaysia; 2001-08-13; 2001-08-16
Periode	13/08/01 → 16/08/01
Ander	ISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications, Kuala-Lumpur, Malaysia

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10.1109/ISSPA.2001.949803

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@inproceedings{674b872ab9b84667b4e49195c3f3d290,

title = "Wigner distribution and fractional Fourier transform",

abstract = "The connection between the Wigner distribution and the squared modulus of the fractional Fourier transform - which are both well-known time-frequency representations of a signal - is established. In particular the Radon-Wigner transform is used, which relates projections of the Wigner distribution to the squared modulus of the fractional Fourier transform. Moments of the Wigner distribution are then expressed in terms of moments of the fractional Fourier transform. Relations for the fractional Fourier transform moments are derived, and some new procedures are presented with the help of which Wigner distribution moments can be determined by using the fractional Fourier transform.",

author = "T. Alieva and M.J. Bastiaans",

year = "2001",

doi = "10.1109/ISSPA.2001.949803",

language = "English",

isbn = "0-7803-6704-9",

pages = "168--169",

booktitle = "Proc. ISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications, Kuala Lumpur, Malaysia",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

note = "conference; ISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications, Kuala-Lumpur, Malaysia; 2001-08-13; 2001-08-16 ; Conference date: 13-08-2001 Through 16-08-2001",

}

Alieva, T & Bastiaans, MJ 2001, Wigner distribution and fractional Fourier transform. in Proc. ISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications, Kuala Lumpur, Malaysia. Institute of Electrical and Electronics Engineers, Piscataway, blz. 168-169, conference; ISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications, Kuala-Lumpur, Malaysia; 2001-08-13; 2001-08-16, 13/08/01. https://doi.org/10.1109/ISSPA.2001.949803

Wigner distribution and fractional Fourier transform. / Alieva, T.; Bastiaans, M.J.
Proc. ISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications, Kuala Lumpur, Malaysia. Piscataway: Institute of Electrical and Electronics Engineers, 2001. blz. 168-169.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

TY - GEN

T1 - Wigner distribution and fractional Fourier transform

AU - Alieva, T.

AU - Bastiaans, M.J.

PY - 2001

Y1 - 2001

N2 - The connection between the Wigner distribution and the squared modulus of the fractional Fourier transform - which are both well-known time-frequency representations of a signal - is established. In particular the Radon-Wigner transform is used, which relates projections of the Wigner distribution to the squared modulus of the fractional Fourier transform. Moments of the Wigner distribution are then expressed in terms of moments of the fractional Fourier transform. Relations for the fractional Fourier transform moments are derived, and some new procedures are presented with the help of which Wigner distribution moments can be determined by using the fractional Fourier transform.

AB - The connection between the Wigner distribution and the squared modulus of the fractional Fourier transform - which are both well-known time-frequency representations of a signal - is established. In particular the Radon-Wigner transform is used, which relates projections of the Wigner distribution to the squared modulus of the fractional Fourier transform. Moments of the Wigner distribution are then expressed in terms of moments of the fractional Fourier transform. Relations for the fractional Fourier transform moments are derived, and some new procedures are presented with the help of which Wigner distribution moments can be determined by using the fractional Fourier transform.

U2 - 10.1109/ISSPA.2001.949803

DO - 10.1109/ISSPA.2001.949803

M3 - Conference contribution

SN - 0-7803-6704-9

SP - 168

EP - 169

BT - Proc. ISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications, Kuala Lumpur, Malaysia

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

T2 - conference; ISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications, Kuala-Lumpur, Malaysia; 2001-08-13; 2001-08-16

Y2 - 13 August 2001 through 16 August 2001

ER -

Wigner distribution and fractional Fourier transform

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Congres

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