A New and Accurate Estimator With Analytical Expression for Frequency Estimation

Frequency estimation of a single complex exponential waveform is an important problem in many fields. In this letter, a new frequency estimator for a complex exponential sine waveform observed under the additive white Gaussian noise (AWGN) is proposed. The proposed estimator is obtained by solving the nonlinear functions. The new estimator has an analytical expression based on interpolation method with three DFT samples. Numerical results demonstrate that the performance of the proposed estimator has lower SNR threshold to closely reach the Cramer-Rao bound (CRB) in the low SNR region and its performance also outperforms previous estimators in the high SNR region.

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