Recent advances in rapid frequency estimation
Digital Signal Processing
Estimation of the frequency and decay factor of a decaying exponential in noise
IEEE Transactions on Signal Processing
Generalization of iterative Fourier interpolation algorithms for single frequency estimation
Digital Signal Processing
Fast communication: Robust M-periodogram with dichotomous search
Signal Processing
Damped sinusoidal signals parameter estimation in frequency domain
Signal Processing
IEEE Transactions on Signal Processing
Iterative frequency estimation by interpolation on Fourier coefficients
IEEE Transactions on Signal Processing
Estimating frequency by interpolation using Fourier coefficients
IEEE Transactions on Signal Processing
Estimation of frequency, amplitude, and phase from the DFT of atime series
IEEE Transactions on Signal Processing
Estimation of the Sinusoidal Signal Frequency Based on the Marginal Median DFT
IEEE Transactions on Signal Processing
Single tone parameter estimation from discrete-time observations
IEEE Transactions on Information Theory
A Noniterative Frequency Estimator With Rational Combination of Three Spectrum Lines
IEEE Transactions on Signal Processing
Analysis of Estimation Bias for Direct Frequency Estimators of Complex Sinusoid
SITIS '13 Proceedings of the 2013 International Conference on Signal-Image Technology & Internet-Based Systems
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For the estimation of the frequency of a complex sinusoid, previous methods interpolate DFT coefficients to obtain the frequency offset. Most of these interpolation methods can be considered as linear approximation of a nonlinear function. Up to date, only a few previously proposed estimators have been shown to have analytical expressions. In this paper, we show that almost all the interpolated estimators proposed to date, both direct and iterative, have simple analytical solutions for the frequency offset. Thus, the estimation bias of these estimators can be better understood and a whole new set of unbiased estimators using the analytical solutions is also introduced.