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With the assumption that the received signals from the primary users are deterministic, the proposed TDA-C-SS method processes the received samples by a time averaging operation to improve the SNR.
It is clear that the performance is improved with increasing K due to the fact that the signal averaging operation employed by both algorithms can better mitigate the noise effect with large K. Also, Figure 7 demonstrates the impact of different step intervals T δ.
where (Ave(cdot,cdot),mathbf {HFM}_{i},mathbf {HFM}_{j},widetilde {mathbf {SPN}}_{i}), and (widetilde {mathbf {SPN}}_{j}) denote an averaging operation based on the number of frames that are used in the SPN estimation (including SPN merging), the HFMs and the high-frequency-component-free SPNs that correspond to (widehat {mathbf {SPN}}_{i}) and (widehat {mathbf {SPN}}_{j}), respectively.
In practice, mathematical expectation operator is an averaging operation, like spatial or frequential smoothing or both of them [19 22].
There is only one averaging operation in each cycle.
When N c is large, the averaging operation is time-consuming.
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The other algorithm, on the other hand, exploits the discriminating nature of well-designed polarity codes and employs a series of code word matching and averaging operations to achieve synchronization.
For doubly selective fading channel assumed in this article, however, the long-term averaged operation becomes impractical.
The main result of this work is in reducing the number of averaging operations and enhancing estimation accuracy by using a robust wavelet de-noising method.
Finally, computational experiments were designed using enormous amounts of simulation data, and a comparative analysis of rank orders yielded by dual optimistic and pessimistic averaging operations was conducted.
Based on measurement tool estimations defined on interval-valued fuzzy sets, dual optimistic and pessimistic point operators were utilized in this study, and this paper discusses several important properties of optimistic/pessimistic averaging operations.
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