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However, all spurious estimates can be eliminated in the final paired 2D DOA estimation by the elevation estimate in the next step.
It was shown in [9] that it is not only necessary for a fundamental frequency estimator to be optimal to also estimate the number of harmonics, but it is in fact also necessary to avoid ambiguities in the cost functions, something that is often the cause of spurious estimates at rational values of the fundamental frequency for single pitch estimation.
Besides all these spurious estimates, there may be other spurious estimates introduced by the sparseness of the array elements.
Therefore, there are spurious estimates ϕ i +π for ϕ i < π and ϕ i -π for ϕ i > π.
The erroneous experimental data have resulted in spurious estimates of space radiation environment and give rise to erroneous physical conclusions.
For sparse UCAs, compared with the original UCA-RARE, the modified UCA-RARE is able to avoid obtaining spurious estimates which only arise from the sparseness of the array elements.
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In general, the WLS estimator is sensitive to spurious estimate of the unconstrained frequencies.
This being the Obama White House, the second of these came with a slightly spurious estimate of the contribution to the economy made by winged pollinators ($24 billion, or about a third of Amazon's yearly revenue).
So, this algorithm allows eliminating the spurious estimate ϕ i +π or ϕ i -π automatically.
In fact, this method only considers the case that there are only spurious estimate ϕ i + π.
This will result in errors for ϕ i > π whose spurious estimate is ϕ i - π. Hence, we prefer to perform Root-MUSIC algorithm for each azimuth estimates separately rather than perform Root-MUSIC algorithm with combining ϕ i and ϕ i + π.
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