Estimation of frequency, amplitude, and phase from the DFT of a time series

Barry G. Quinn

doi:10.1109/78.558515

Estimation of frequency, amplitude, and phase from the DFT of a time series

Barry G. Quinn^*

^*Corresponding author for this work

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

277 Citations (Scopus)

Abstract

In a previous paper, a frequency estimator using only three Fourier coefficients was introduced, which has asymptotic variance of order T 3. In this correspondence, a similar technique of Rife and Vincent is shown to have asymptotic variance of larger order. A new estimator is introduced that has asymptotic variance less than 1.65 times the CRLB.

Original language	English
Pages (from-to)	814-817
Number of pages	4
Journal	IEEE Transactions on Signal Processing
Volume	45
Issue number	3
DOIs	https://doi.org/10.1109/78.558515
Publication status	Published - 1997
Externally published	Yes

Access to Document

10.1109/78.558515

Cite this

@article{bb6db7ea81e84a358e54e968cb416368,

title = "Estimation of frequency, amplitude, and phase from the DFT of a time series",

abstract = "In a previous paper, a frequency estimator using only three Fourier coefficients was introduced, which has asymptotic variance of order T 3. In this correspondence, a similar technique of Rife and Vincent is shown to have asymptotic variance of larger order. A new estimator is introduced that has asymptotic variance less than 1.65 times the CRLB.",

author = "Quinn, {Barry G.}",

year = "1997",

doi = "10.1109/78.558515",

language = "English",

volume = "45",

pages = "814--817",

journal = "IEEE Transactions on Signal Processing",

issn = "1053-587X",

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

number = "3",

}

TY - JOUR

T1 - Estimation of frequency, amplitude, and phase from the DFT of a time series

AU - Quinn, Barry G.

PY - 1997

Y1 - 1997

N2 - In a previous paper, a frequency estimator using only three Fourier coefficients was introduced, which has asymptotic variance of order T 3. In this correspondence, a similar technique of Rife and Vincent is shown to have asymptotic variance of larger order. A new estimator is introduced that has asymptotic variance less than 1.65 times the CRLB.

AB - In a previous paper, a frequency estimator using only three Fourier coefficients was introduced, which has asymptotic variance of order T 3. In this correspondence, a similar technique of Rife and Vincent is shown to have asymptotic variance of larger order. A new estimator is introduced that has asymptotic variance less than 1.65 times the CRLB.

UR - http://www.scopus.com/inward/record.url?scp=0031095073&partnerID=8YFLogxK

U2 - 10.1109/78.558515

DO - 10.1109/78.558515

M3 - Article

AN - SCOPUS:0031095073

SN - 1053-587X

VL - 45

SP - 814

EP - 817

JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

IS - 3

ER -

Estimation of frequency, amplitude, and phase from the DFT of a time series

Abstract

Access to Document

Other files and links

Fingerprint

Cite this