A Noniterative Frequency Estimator With Rational Combination of Three Spectrum Lines

Yang, Chao; Wang, Gang

doi:10.1109/tsp.2011.2160257

Cited by 62 publications

(64 citation statements)

References 25 publications

(11 reference statements)

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“…The reasons to choose these four estimators are that their bias performances are better than the others [8], [9] and it is established experimentally that the Candan estimator is the best of the current estimators in terms of bias.…”

Section: Theoretical Analysis Of the Estimation Biasmentioning

confidence: 99%

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Analysis of Estimation Bias for Direct Frequency Estimators of Complex Sinusoid

Liao

2013

2013 International Conference on Signal-Image Technology &Amp; Internet-Based Systems

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Frequency estimation for complex sinusoid is a fundamental problem in signal processing. A simple and effective way is to directly interpolate the discrete Fourier transform coefficients around the peak of the magnitude spectrum. The shortcoming of this method is the non-uniform estimation bias across the frequency. This paper theoretically analyzes the estimation bias for some of the most popular and wellperformed estimators and shows that the bias can be accurately predicted by a polynomial. Applying the polynomial, three additional results are derived. First, the optimal scaling factor to reduce the bias is found. Second, the theoretical expression for the threshold between the bias limiting region and Cramér Rao bound limiting region is derived. Third, we proposed a new estimation method that uses the roots of the polynomial to reduce the bias. Experiments show that the new method can reduce the bias by more than three orders when the number of samples are more than 64.

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Section: Theoretical Analysis Of the Estimation Biasmentioning

confidence: 99%

“…For the direct approaches,δ is directly calculated from the three spectrum lines (S[k p − 1], S[k p ], S[k p + 1]) [2]- [8] or more [4], [9]. Among these direct estimators, the performance of the estimator proposed by Candan [7] has been proved to be the best experimentally.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Estimation Bias for Direct Frequency Estimators of Complex Sinusoid

Liao

2013

2013 International Conference on Signal-Image Technology &Amp; Internet-Based Systems

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“…Therefore, the application of DPT is restricted extremely. In this paper, an advanced frequency estimating method [12] is applied. As result, DPT method is still available here.…”

Section: ):Limitation Of Dpt and How Estimating Accuracy Affects Thementioning

confidence: 99%

A new method of phase compensating for moving targets in ISAR imaging

Xiao

Zhang

Liu

et al. 2012

The 2012 International Workshop on Microwave and Millimeter Wave Circuits and System Technology

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The traditional phase compensation method based on parametric model always needs to make a tradeoff between the accuracy and the computational complexity. Given this, a new method for compensating phase based on Discrete Polynomial Transform (DPT) and CLEAN technique is proposed. To reduce the computation power further, the imaging region estimation is applied. Furthermore, the limitation and the restricted condition of DPT are analyzed for practical scenarios in this paper. In the end, simulation results are given to validate this method.

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“…The accuracy of the Rife method is high in the case of noiseless or higher signal-to-noise ratio with adaptive sampling points; however, the error given by the Rife method is large if the signal frequency is near the DFT quantization frequency point. Therefore, some improved methods were proposed [6,7]. For example, Jacobsen and Kootsookos used three largest spectral lines of the FFT spectrum to calibrate the frequency estimation [8].…”

Section: Introductionmentioning

confidence: 99%

Iterative Parameter Estimation Algorithms for Dual-Frequency Signal Models

Liu

Ding

2017

Algorithms

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This paper focuses on the iterative parameter estimation algorithms for dual-frequency signal models that are disturbed by stochastic noise. The key of the work is to overcome the difficulty that the signal model is a highly nonlinear function with respect to frequencies. A gradient-based iterative (GI) algorithm is presented based on the gradient search. In order to improve the estimation accuracy of the GI algorithm, a Newton iterative algorithm and a moving data window gradient-based iterative algorithm are proposed based on the moving data window technique. Comparative simulation results are provided to illustrate the effectiveness of the proposed approaches for estimating the parameters of signal models.

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A Noniterative Frequency Estimator With Rational Combination of Three Spectrum Lines

Cited by 62 publications

References 25 publications

Analysis of Estimation Bias for Direct Frequency Estimators of Complex Sinusoid

Analysis of Estimation Bias for Direct Frequency Estimators of Complex Sinusoid

A new method of phase compensating for moving targets in ISAR imaging

Iterative Parameter Estimation Algorithms for Dual-Frequency Signal Models

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