Frequency estimation using tapered data

B. G. Quinn

Frequency estimation using tapered data

B. G. Quinn^*

^*Corresponding author for this work

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

17 Citations (Scopus)

51 Downloads (Pure)

Abstract

The maximizer of the periodogram of a sinusoid in additive noise is known to have optimal asymptotic properties even when the noise is neither Gaussian nor white. The effect of tapering or windowing on the accuracy of the estimator does not appear to have been considered previously. In this paper, we present the asymptotic theory for the maximizer of windowed periodograms of Hamming and Hanning-type. We also introduce and analyse two closed-form frequency estimators constructed from three Fourier coefficients of a Hanning-tapered process.

Original language	English
Title of host publication	2006 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	III 73-III 76
Number of pages	4
Volume	3
ISBN (Print)	142440469X, 9781424404698
Publication status	Published - 2006
Event	2006 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2006 - Toulouse, France Duration: 14 May 2006 → 19 May 2006

Other

Other	2006 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2006
Country/Territory	France
City	Toulouse
Period	14/05/06 → 19/05/06

Bibliographical note

Copyright 2006 IEEE. Reprinted from Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Macquarie Universityï¿½ï¿½ï¿½ï¿½s products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to [email protected]. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.

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title = "Frequency estimation using tapered data",

abstract = "The maximizer of the periodogram of a sinusoid in additive noise is known to have optimal asymptotic properties even when the noise is neither Gaussian nor white. The effect of tapering or windowing on the accuracy of the estimator does not appear to have been considered previously. In this paper, we present the asymptotic theory for the maximizer of windowed periodograms of Hamming and Hanning-type. We also introduce and analyse two closed-form frequency estimators constructed from three Fourier coefficients of a Hanning-tapered process.",

author = "Quinn, \{B. G.\}",

note = "Copyright 2006 IEEE. Reprinted from Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Macquarie University{\"i}¿½{\"i}¿½{\"i}¿½{\"i}¿½s products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to [email protected]. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.; 2006 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2006 ; Conference date: 14-05-2006 Through 19-05-2006",

year = "2006",

language = "English",

isbn = "142440469X",

volume = "3",

pages = "III 73--III 76",

booktitle = "2006 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

address = "United States",

}

Quinn, BG 2006, Frequency estimation using tapered data. in 2006 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings. vol. 3, 1660593, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. III 73-III 76, 2006 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2006, Toulouse, France, 14/05/06.

Frequency estimation using tapered data. / Quinn, B. G.
2006 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings. Vol. 3 Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 2006. p. III 73-III 76 1660593.

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

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T1 - Frequency estimation using tapered data

AU - Quinn, B. G.

N1 - Copyright 2006 IEEE. Reprinted from Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Macquarie Universityï¿½ï¿½ï¿½ï¿½s products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to [email protected]. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.

PY - 2006

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N2 - The maximizer of the periodogram of a sinusoid in additive noise is known to have optimal asymptotic properties even when the noise is neither Gaussian nor white. The effect of tapering or windowing on the accuracy of the estimator does not appear to have been considered previously. In this paper, we present the asymptotic theory for the maximizer of windowed periodograms of Hamming and Hanning-type. We also introduce and analyse two closed-form frequency estimators constructed from three Fourier coefficients of a Hanning-tapered process.

AB - The maximizer of the periodogram of a sinusoid in additive noise is known to have optimal asymptotic properties even when the noise is neither Gaussian nor white. The effect of tapering or windowing on the accuracy of the estimator does not appear to have been considered previously. In this paper, we present the asymptotic theory for the maximizer of windowed periodograms of Hamming and Hanning-type. We also introduce and analyse two closed-form frequency estimators constructed from three Fourier coefficients of a Hanning-tapered process.

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M3 - Conference proceeding contribution

AN - SCOPUS:33947639471

SN - 142440469X

SN - 9781424404698

VL - 3

SP - III 73-III 76

BT - 2006 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings

PB - Institute of Electrical and Electronics Engineers (IEEE)

CY - Piscataway, NJ

T2 - 2006 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2006

Y2 - 14 May 2006 through 19 May 2006

ER -

Frequency estimation using tapered data

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