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The average normalized estimation error with both the greedy search-based and LP relaxation-based algorithms is less than 1%%.
In Section 5, we will use the value of the normalized estimation error variance (sigma _{mathrm {e}}^{2}overset {Delta }sigma ^{2}/text {Tr}left (mathrm {E}left [mathbf {h}mathbf {h}^{H}right ]right)).
Error models, assuming the standard deviation of the QPE error to be a bi-linear function of the rain rate and the kriging normalized estimation standard deviation, are parameterized for the KED and OK QPEs for the considered temporal and spatial scales.
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Assume a normalized channel estimation (boldsymbol {hat {h}}_{k}sim mathcal {CN}(boldsymbol {0},boldsymbol {I}_{M})).
In Figure 16, the horizontal axis is the normalized position estimation error, and the veridical axis is the averaged number of rounds needed to detect the malicious node.
When N R is set to eight, the normalized CFO estimation range is from −0.11 to +0.11, as shown in Figure 7.
Moreover, due to the distance between the CP and its copy, the range of normalized CFO estimation is limited within [ −0.5,+0.5] ([7], p.170).
Figure 7 shows the normalized CFO estimation range of the proposed method, and the N R value of the L&R method is equal to eight.
The probability density function of the normalized LS estimation residuals is shown in Fig. 1 for a fault-free scenario (real measurements passing global consistency check with conservative confidence level).
In Figs. 2 and 3, we confirm this observation for the proposed polynomial regressors by plotting the normalized channel estimation mean square error (NMSE) and the error vector magnitude (EVM) versus SNR.
In particular, when the normalized position estimation error value is and the actual distance between primary transmitter and secondary user is, we simulate the case that the estimated distance between the secondary users and the primary transmitter is Gaussian distributed with mean being and variance being.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com