Frequency estimation of a single real-valued sinusoid: An invariant function approach

Candan, Çağatay; Çelebi, Utku

doi:10.1016/j.sigpro.2021.108098

Cited by 7 publications

(2 citation statements)

References 28 publications

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“…Many researchers have proposed their estimators of single-tone sinusoid in the background of AWGN. These estimators can be categorized into time domain estimators [6][7][8][9][10][11] and frequency domain estimators [12][13][14][15][16][17][18][19][20][21][22][23][24]. Time domain estimators include autocorrelation methods [6,7], maximum likelyhood methods [8,9] and least square methods [10,11].…”

Section: Introductionmentioning

confidence: 99%

DFT-Based Frequency Estimation of Multiple Sinusoids

Liu

Fan

et al. 2022

IEEE Access

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An accurate frequency estimation method of multi-component sinusoidal signal in additive white Gaussian noise (AWGN) is proposed. The algorithm is implemented in the frequency domain and based on discrete Fourier transform (DFT). The maximum DFT spectral line and two Discrete-Time Fourier Transform (DTFT) samples located on the same side of the maximum DFT spectral line are used to estimate the frequency of a sinusoidal component. And this algorithm is utilized in both the coarse estimation and the fine estimation. Simulation results show that compared with the competing estimators, the presented method is closer to the Cramer-Rao lower bound (CRLB). And it is almost independent of the frequency displacement. The numerical complexity of the presented method is similar with the competing DFT-based algorithms.

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Section: Introductionmentioning

confidence: 99%

DFT-Based Frequency Estimation of Multiple Sinusoids

Liu

Fan

et al. 2022

IEEE Access

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“…The real sinusoidal signal model is also often used in practical applications, and the frequency estimation of the real sinusoid is more complicated than that of complex sinusoid due to the problem of spectrum leakage from the negative frequency spectrum component of the signal. Many researchers have presented their algorithms for real sinusoid [22][23][24][25][26][27][28][29]. In [22], a frequency estimation algorithm similar to ML based on the spectrum matching method is proposed.…”

Section: Introductionmentioning

confidence: 99%

Accurate Frequency Estimator for Real Sinusoid Based on DFT

et al. 2022

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An accurate frequency estimator for real sinusoid based on Discrete Fourier Transform (DFT) is proposed. The proposed estimator is based on the interpolation of the maximum DFT spectral line and two Discrete-Time Fourier Transform (DTFT) spectral lines and can operate with both the rectangular window and the maximum sidelobe decay (MSD) window. In the coarse estimation step, the proposed estimator with the MSD window is used. According to the value of the coarse estimate, the negative frequency spectral component is removed. In the fine estimation step, the proposed estimator with the rectangular window is utilized to achieve the Cramer–Rao lower bound (CRLB). Simulation results show that the performance of this algorithm is better than that of the AM algorithm, Candan algorithm, Djukanovic algorithm, and FDIAM algorithm.

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Frequency Offset Estimation of X-band Marine Radar Sampling Signal Based on Phase Difference

Wang

2024

Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

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Frequency estimation of a single real-valued sinusoid: An invariant function approach

Cited by 7 publications

References 28 publications

DFT-Based Frequency Estimation of Multiple Sinusoids

DFT-Based Frequency Estimation of Multiple Sinusoids

Accurate Frequency Estimator for Real Sinusoid Based on DFT

Frequency Offset Estimation of X-band Marine Radar Sampling Signal Based on Phase Difference

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