Single Sinusoidal Frequency Estimation Using Second and Fourth Order Linear Prediction Errors

Kenneth Wing-Kin LUI; Hing-Cheung SO

doi:10.1093/ietfec/e91-a.3.875

Single Sinusoidal Frequency Estimation Using Second and Fourth Order Linear Prediction Errors

Kenneth Wing-Kin LUI, Hing-Cheung SO

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By utilizing the second and fourth order linear prediction errors, a novel estimator for a single noisy sinusoid is devised. The frequency estimate is obtained from a solving a cubic equation and a simple root selection procedure is provided. Asymptotical variance of the estimated frequency is derived and confirmed by computer simulations. It is demonstrated that the proposed estimator is superior to the reformed Pisarenko harmonic decomposer, which is the improved version of Pisarenko harmonic decomposer.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E91-A No.3 pp.875-878

Publication Date: 2008/03/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e91-a.3.875

Type of Manuscript: LETTER

Category: Digital Signal Processing

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Kenneth Wing-Kin LUI, Hing-Cheung SO, "Single Sinusoidal Frequency Estimation Using Second and Fourth Order Linear Prediction Errors" in IEICE TRANSACTIONS on Fundamentals, vol. E91-A, no. 3, pp. 875-878, March 2008, doi: 10.1093/ietfec/e91-a.3.875.
Abstract: By utilizing the second and fourth order linear prediction errors, a novel estimator for a single noisy sinusoid is devised. The frequency estimate is obtained from a solving a cubic equation and a simple root selection procedure is provided. Asymptotical variance of the estimated frequency is derived and confirmed by computer simulations. It is demonstrated that the proposed estimator is superior to the reformed Pisarenko harmonic decomposer, which is the improved version of Pisarenko harmonic decomposer.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e91-a.3.875/_p

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@ARTICLE{e91-a_3_875,
author={Kenneth Wing-Kin LUI, Hing-Cheung SO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Single Sinusoidal Frequency Estimation Using Second and Fourth Order Linear Prediction Errors},
year={2008},
volume={E91-A},
number={3},
pages={875-878},
abstract={By utilizing the second and fourth order linear prediction errors, a novel estimator for a single noisy sinusoid is devised. The frequency estimate is obtained from a solving a cubic equation and a simple root selection procedure is provided. Asymptotical variance of the estimated frequency is derived and confirmed by computer simulations. It is demonstrated that the proposed estimator is superior to the reformed Pisarenko harmonic decomposer, which is the improved version of Pisarenko harmonic decomposer.},
keywords={},
doi={10.1093/ietfec/e91-a.3.875},
ISSN={1745-1337},
month={March},}

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TY - JOUR
TI - Single Sinusoidal Frequency Estimation Using Second and Fourth Order Linear Prediction Errors
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 875
EP - 878
AU - Kenneth Wing-Kin LUI
AU - Hing-Cheung SO
PY - 2008
DO - 10.1093/ietfec/e91-a.3.875
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E91-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2008
AB - By utilizing the second and fourth order linear prediction errors, a novel estimator for a single noisy sinusoid is devised. The frequency estimate is obtained from a solving a cubic equation and a simple root selection procedure is provided. Asymptotical variance of the estimated frequency is derived and confirmed by computer simulations. It is demonstrated that the proposed estimator is superior to the reformed Pisarenko harmonic decomposer, which is the improved version of Pisarenko harmonic decomposer.
ER -