IEEE Transactions on Aerospace and Electronic Systems, vol.58, no.5, pp.4850-4856, 2022 (SCI-Expanded)
Article / Article
IEEE Transactions on Aerospace and Electronic Systems
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Frequency estimation, maximum likelihood, probability of detection, signal-to-noise ratio (SNR) breakdown threshold
Yıldız Technical University Affiliated:
This work addresses the problem of threshold region characterization of the maximum likelihood (ML) sinusoid frequency estimation. We first study on the exact analytical expression of the probability of detection for the ML mean square error for all the signal-to-noise ranges. Then, we propose a simple asymptotic expression to this ML detection probability and propose a model for the characterization of the variance of the frequency estimation. We also provide asymptotic closedform expressions to the threshold and the no-information SNR breakdowns for the ML frequency estimation, respectively. Outcomes of extensive numerical simulations verify our proposed theoretical derivations.