A New and Accurate Method for the Frequency Estimation of Complex Exponential Signals

Kang WU; Yijun CHEN; Huiling HOU; Wenhao CHEN; Xuwen LIANG

doi:10.1587/transfun.E100.A.1231

A New and Accurate Method for the Frequency Estimation of Complex Exponential Signals

Kang WU, Yijun CHEN, Huiling HOU, Wenhao CHEN, Xuwen LIANG

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In this letter, a new and accurate frequency estimation method of complex exponential signals is proposed. The proposed method divides the signal samples into several identical segments and sums up the samples belonging to the same segment respectively. Then it utilizes fast Fourier transform (FFT) algorithm with zero-padding to obtain a coarse estimation, and exploits three Fourier coefficients to interpolate a fine estimation based on least square error (LSE) criterion. Numerical results show that the proposed method can closely approach the Cramer-Rao bound (CRB) at low signal-to-noise ratios (SNRs) with different estimation ranges. Furthermore, the computational complexity of the proposed method is proportional to the estimation range, showing its practical-oriented ability. The proposed method can be useful in several applications involving carrier frequency offset (CFO) estimation for burst-mode satellite communications.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E100-A No.5 pp.1231-1235

Publication Date: 2017/05/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E100.A.1231

Type of Manuscript: LETTER

Category: Digital Signal Processing

Authors

Kang WU
  Chinese Academy of Sciences
Yijun CHEN
  Chinese Academy of Sciences
Huiling HOU
  Chinese Academy of Sciences
Wenhao CHEN
  Chinese Academy of Sciences
Xuwen LIANG
  Chinese Academy of Sciences

Keyword

frequency estimation, different estimation ranges, low SNR, CRB

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Kang WU, Yijun CHEN, Huiling HOU, Wenhao CHEN, Xuwen LIANG, "A New and Accurate Method for the Frequency Estimation of Complex Exponential Signals" in IEICE TRANSACTIONS on Fundamentals, vol. E100-A, no. 5, pp. 1231-1235, May 2017, doi: 10.1587/transfun.E100.A.1231.
Abstract: In this letter, a new and accurate frequency estimation method of complex exponential signals is proposed. The proposed method divides the signal samples into several identical segments and sums up the samples belonging to the same segment respectively. Then it utilizes fast Fourier transform (FFT) algorithm with zero-padding to obtain a coarse estimation, and exploits three Fourier coefficients to interpolate a fine estimation based on least square error (LSE) criterion. Numerical results show that the proposed method can closely approach the Cramer-Rao bound (CRB) at low signal-to-noise ratios (SNRs) with different estimation ranges. Furthermore, the computational complexity of the proposed method is proportional to the estimation range, showing its practical-oriented ability. The proposed method can be useful in several applications involving carrier frequency offset (CFO) estimation for burst-mode satellite communications.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E100.A.1231/_p

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@ARTICLE{e100-a_5_1231,
author={Kang WU, Yijun CHEN, Huiling HOU, Wenhao CHEN, Xuwen LIANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A New and Accurate Method for the Frequency Estimation of Complex Exponential Signals},
year={2017},
volume={E100-A},
number={5},
pages={1231-1235},
abstract={In this letter, a new and accurate frequency estimation method of complex exponential signals is proposed. The proposed method divides the signal samples into several identical segments and sums up the samples belonging to the same segment respectively. Then it utilizes fast Fourier transform (FFT) algorithm with zero-padding to obtain a coarse estimation, and exploits three Fourier coefficients to interpolate a fine estimation based on least square error (LSE) criterion. Numerical results show that the proposed method can closely approach the Cramer-Rao bound (CRB) at low signal-to-noise ratios (SNRs) with different estimation ranges. Furthermore, the computational complexity of the proposed method is proportional to the estimation range, showing its practical-oriented ability. The proposed method can be useful in several applications involving carrier frequency offset (CFO) estimation for burst-mode satellite communications.},
keywords={},
doi={10.1587/transfun.E100.A.1231},
ISSN={1745-1337},
month={May},}

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TY - JOUR
TI - A New and Accurate Method for the Frequency Estimation of Complex Exponential Signals
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1231
EP - 1235
AU - Kang WU
AU - Yijun CHEN
AU - Huiling HOU
AU - Wenhao CHEN
AU - Xuwen LIANG
PY - 2017
DO - 10.1587/transfun.E100.A.1231
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E100-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2017
AB - In this letter, a new and accurate frequency estimation method of complex exponential signals is proposed. The proposed method divides the signal samples into several identical segments and sums up the samples belonging to the same segment respectively. Then it utilizes fast Fourier transform (FFT) algorithm with zero-padding to obtain a coarse estimation, and exploits three Fourier coefficients to interpolate a fine estimation based on least square error (LSE) criterion. Numerical results show that the proposed method can closely approach the Cramer-Rao bound (CRB) at low signal-to-noise ratios (SNRs) with different estimation ranges. Furthermore, the computational complexity of the proposed method is proportional to the estimation range, showing its practical-oriented ability. The proposed method can be useful in several applications involving carrier frequency offset (CFO) estimation for burst-mode satellite communications.
ER -