IEICE TRANSACTIONS on Fundamentals
Closed-Form Real Single-Tone Frequency Estimator Based on Phase Compensation of Multiple Correlation Lags
Summary :
A new frequency estimator for a single real-valued sinusoid signal in white noise is proposed. The new estimator uses the Pisarenko Harmonic Decomposer (PHD) estimator to get a coarse frequency estimate and then makes use of multiple correlation lags to obtain an adjustment term. For the limited-length single sinusoid, its correlation has the same frequency as itself but with a non-zero phase. We propose to use Taylor series to expand the correlation at the PHD coarse estimated frequency with amplitude and phase of the correlation into consideration. Simulation results show that this new method improves the estimation performance of the PHD estimator. Moreover, when compared with other existing estimator, the mean square frequency error of the proposed method is closer to the Cramer-Rao Lower Bound (CRLB) for certain SNR range.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E95-A No.1 pp.395-399
- Publication Date
- 2012/01/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E95.A.395
- Type of Manuscript
- LETTER
- Category
- Digital Signal Processing
Authors
Keyword
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Yan CAO, Gang WEI, "Closed-Form Real Single-Tone Frequency Estimator Based on Phase Compensation of Multiple Correlation Lags" in IEICE TRANSACTIONS on Fundamentals,
vol. E95-A, no. 1, pp. 395-399, January 2012, doi: 10.1587/transfun.E95.A.395.
Abstract: A new frequency estimator for a single real-valued sinusoid signal in white noise is proposed. The new estimator uses the Pisarenko Harmonic Decomposer (PHD) estimator to get a coarse frequency estimate and then makes use of multiple correlation lags to obtain an adjustment term. For the limited-length single sinusoid, its correlation has the same frequency as itself but with a non-zero phase. We propose to use Taylor series to expand the correlation at the PHD coarse estimated frequency with amplitude and phase of the correlation into consideration. Simulation results show that this new method improves the estimation performance of the PHD estimator. Moreover, when compared with other existing estimator, the mean square frequency error of the proposed method is closer to the Cramer-Rao Lower Bound (CRLB) for certain SNR range.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E95.A.395/_p
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@ARTICLE{e95-a_1_395,
author={Yan CAO, Gang WEI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Closed-Form Real Single-Tone Frequency Estimator Based on Phase Compensation of Multiple Correlation Lags},
year={2012},
volume={E95-A},
number={1},
pages={395-399},
abstract={A new frequency estimator for a single real-valued sinusoid signal in white noise is proposed. The new estimator uses the Pisarenko Harmonic Decomposer (PHD) estimator to get a coarse frequency estimate and then makes use of multiple correlation lags to obtain an adjustment term. For the limited-length single sinusoid, its correlation has the same frequency as itself but with a non-zero phase. We propose to use Taylor series to expand the correlation at the PHD coarse estimated frequency with amplitude and phase of the correlation into consideration. Simulation results show that this new method improves the estimation performance of the PHD estimator. Moreover, when compared with other existing estimator, the mean square frequency error of the proposed method is closer to the Cramer-Rao Lower Bound (CRLB) for certain SNR range.},
keywords={},
doi={10.1587/transfun.E95.A.395},
ISSN={1745-1337},
month={January},}
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TY - JOUR
TI - Closed-Form Real Single-Tone Frequency Estimator Based on Phase Compensation of Multiple Correlation Lags
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 395
EP - 399
AU - Yan CAO
AU - Gang WEI
PY - 2012
DO - 10.1587/transfun.E95.A.395
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E95-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2012
AB - A new frequency estimator for a single real-valued sinusoid signal in white noise is proposed. The new estimator uses the Pisarenko Harmonic Decomposer (PHD) estimator to get a coarse frequency estimate and then makes use of multiple correlation lags to obtain an adjustment term. For the limited-length single sinusoid, its correlation has the same frequency as itself but with a non-zero phase. We propose to use Taylor series to expand the correlation at the PHD coarse estimated frequency with amplitude and phase of the correlation into consideration. Simulation results show that this new method improves the estimation performance of the PHD estimator. Moreover, when compared with other existing estimator, the mean square frequency error of the proposed method is closer to the Cramer-Rao Lower Bound (CRLB) for certain SNR range.
ER -
English
