Cramer-Rao Bound Analysis for Frequency Estimation of Sinusoids in Noise

1986 ◽  
Author(s):  
Joy M. Skon
Keyword(s):  
Frequency Estimation ◽  
Cramer Rao Bound ◽  
Bound Analysis

scholarly journals Efficient and Accurate Frequency Estimator under Low SNR by Phase Unwrapping

2019 ◽  
Vol 2019 ◽  
pp. 1-6
Author(s):  
Shen Zhou ◽  
Liu Rongfang
Keyword(s):  
Frequency Estimation ◽  
Signal To Noise Ratio ◽  
Additive White Gaussian Noise ◽  
Likelihood Estimation ◽  
Accurate Method ◽  
Phase Unwrapping ◽  
Single Frequency ◽  
Low Snr ◽  
Cramer Rao Bound ◽  
Frequency Estimator

In the case of low signal-to-noise ratio, for the frequency estimation of single-frequency sinusoidal signals with additive white Gaussian noise, the phase unwrapping estimator usually performs poorly. In this paper, an efficient and accurate method is proposed to address this problem. Different from other methods, based on fast Fourier transform, the sampled signals are estimated with the variances approaching the Cramer-Rao bound, followed with the maximum likelihood estimation of the frequency. Experimental results reveal that our estimator has a better performance than other phase unwrapping estimators. Compared with the state-of-the-art method, our estimator has the same accuracy and lower computational complexity. Besides, our estimator does not have the estimation bias.

Fisher information and Cramér-Rao bound analysis with stable gradients for ocean acoustic models

2021 ◽  
Vol 150 (4) ◽  
pp. A328-A328
Author(s):  
Michael C. Mortenson ◽  
Tracianne B. Neilsen ◽  
Mark K. Transtrum ◽  
David P. Knobles
Keyword(s):  
Fisher Information ◽  
Acoustic Models ◽  
Cramer Rao Bound ◽  
Bound Analysis
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