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The Cramér-Rao lower bound provides a fundamental estimation limit for unbiased estimators; see [20].
The Fisher Information Matrix FIMM) provides a fundamental estimation limit for unbiased estimators referred to as the Cramér-Rao lower bound (CRLB) [23].
In this paper we derive fundamental estimation bounds for shooter localization systems based on wireless sensor networks, with the synchronization errors in focus.
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The fundamental idea of distributed estimation is to share the task of data processing among the whole network.
The fundamental idea of point estimation lies in matching the first several moments of each stochastic variable x b with k points.
It can be seen from these figures that both estimators perform well for all SNR above 0 dB with WLS being slightly better for fundamental frequency estimation while the proposed estimator is better in DOA estimation.
This figure shows that the proposed estimator is again more robust than the WLS estimator for both DOA and fundamental frequency estimation.
However, the estimated harmonic frequencies between two grey bars in Figure 7(a) show that the slight error in fundamental frequency estimation results in the complete mismatch of higher harmonic frequency estimation.
In addition, the proposed fundamental frequency estimation algorithm has good tracking capability and lower variance of frequency estimation error than that of the conventional cascade ANF method.
It has previously been demonstrated that the optimal filtering methods perform extremely well with respect to fundamental frequency estimation under adverse conditions, and this fact, combined with the new results on model order estimation and efficient implementation, suggests that these methods form an appealing alternative to classical methods for analyzing multi-pitch signals.
The variance estimate in (101) involves the same expression as in the fundamental frequency estimation criterion in (42), which means that the same expression can be used for estimating the model order and the fundamental frequency, i.e., the approach allows for joint estimation of the model order and the fundamental frequency.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com